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Fo= urth level
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Geometry
Chapter 9
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Points, Lines, Planes,= = and Angles
Section 9.1
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Euclidean Geometry
pAlso called plane geometry
pTwo-dimensional
pEuclid was a great Greek mathematician
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Terminology
<= span style=3D'font-family:"Times New Roman"'>pUndefined Terms:  The buil= ding blocks of geometry.  <= /span>These terms are understood by the= ir relationship to the every-day world.
<= span style=3D'font-family:"Times New Roman"'>pDefinitions:  Used to describe elements of geometry.  Often based on undefined terms.&#= 13;
<= span style=3D'font-family:"Times New Roman"'>pAxioms (Postulates):  Proposi= tions that must be accepted as true without proof.
<= span style=3D'font-family:"Times New Roman"'>pTheorems:  Propositions that are proved usin= g axioms and reason.<= /div>
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Point
pUndefined term =
pLike the point of a pencil but wi= th no area or mass
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Line
pUndefined term =
pComprised of a set of points =
pTwo distinct points determine a unique line
pIntersection of two lines is a po= int
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Lines, Rays, Segments
Line Segment AB
Ray AB
Line AB
Symbol
Diagram
Description
AB
AB
AB
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Plane
pUndefined term =
pTwo-dimensional surface
pNo depth
pExtends infinitely
pThree points not on the same line determine a plane
pIntersection of two planes is a line
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Definitions
pParallel Lines:=   Two lines lying in the same plane that do not intersect =
pSkewed Lines:  Two lines that do not lie in the same plane and do not intersect=
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Angle
pUnion of two rays called sides wit= h a common endpoint
pFormed by rotating a ray about a point
pSymbol:
ABC
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Angles (cont.)
pVertex:  Point common to both rays of an angle
pMeasure of an Angle:  Amount of rotation from an angle’s initial side to its terminal side.
pDegree:  Used to measure an angle.  There are 360° = in a circle.  Therefore, 1° is 1/360 of a circle.
pSymbol:
ABC
m
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Types of Angles
pRight Angle:  Angle that measures 90°
pAcute Angle:  Angle that measures less than 90° =
pObtuse Angle:  Angle that measures greater than 90° = but less than 180°
pStraight Angle:  Angle that measures 180°
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Angles (cont.)
pAdjacent Angles:  Two angles in a plane that share a ray
pComplementary Angles:  Two angles whose measures sum to 90°
<= span style=3D'font-family:"Times New Roman"'>pSupplementary Angles:  Two angles whose measures sum to 180°
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Example
pm    CBD =3D 27°
Find m    ABC
pm    ABC + m    CBD =3D 90° <= /span>
pm    ABC + 27° =3D 90°
pm    ABC =3D 63°
A
B
C
D
m    ABC =3D 90° R= 09; 27° =3D 63°
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Example
pFind m    ABC
= Find m    CBD <= /div>
p3x + 10 + x =3D 180°
p4x + 10 =3D 180°
p4x =3D 170° =
px =3D 42.5° =
p3x + 10 =3D 3(42.5°) + 10 =3D = 137.5°
3x + 10
x
B
C
A
D
m    CBD =3D 45° R= 09; 13° =3D 32°
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Example
= p     EFG and     GFH are supplem= entary angles.
m    EFG is 5 times m    GFH.  Find the measure of both angles.
m    EFG =3D 5(m    GFH)
m    GFH + m    EFG =3D 180°
m    GFH + 5(m    GFH) =3D 180°   m
6(m<= span style=3D'mso-spacerun:yes'>    GFH) =3D 180°
m    GFH =3D 30°
m    EFG =3D 5(m    GFH)
m    EFG =3D 5(30°)
EFG = =3D 150°

m    XYZ =3D m    WYX + 17°=
m    XYZ + m    WYX =3D 45°
(m    WYX + 17°) + m    WYX =3D 45°
2(m<= span style=3D'mso-spacerun:yes'>    WYX) + 17° =3D 4= 5°
2(m<= span style=3D'mso-spacerun:yes'>    WYX) =3D 28°
m    WYX =3D 14°
m    XYZ =3D m    WYX + 17°=
m    XYZ =3D 14° + 17= °
m    XYZ =3D 31°
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Example
= p    XYZ and     WYX are complem= entary angles. 
m    XYZ is 17 ° great= er than
m    WYX.  Find the measure of both angles.<= /span>
------=_NextPart_01C5A8A6.89361E70 Content-Location: file:///C:/6E4BB24E/Chapter9Presentation_files/slide0412_image024.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAR AAsAgAAAAAAAAAIXhI8ZyRfbGIzoUXXrzJtn11Fh9JTmWRYAOx== ------=_NextPart_01C5A8A6.89361E70 Content-Location: file:///C:/6E4BB24E/Chapter9Presentation_files/slide0412_image025.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAS AAsAgAAAAAAAAAIahI8JoW3BnIoSwZoofvvcvoCLhpEShKZqWgAAOw== ------=_NextPart_01C5A8A6.89361E70 Content-Location: file:///C:/6E4BB24E/Chapter9Presentation_files/slide0412_image026.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAR AAsAgAAAAAAAAAIZhI8ZkX3s2oqSKmgNzmDbyXVh50XLiaZnAQA7 ------=_NextPart_01C5A8A6.89361E70 Content-Location: file:///C:/6E4BB24E/Chapter9Presentation_files/slide0412_image027.gif Content-Transfer-Encoding: base64 Content-Type: image/gif R0lGODlhEwANAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAAAR AAsAgAAAAAAAAAIYhI8ZkX3sHIxoUXXrzPvabHTUxy3miS4FADs= ------=_NextPart_01C5A8A6.89361E70 Content-Location: file:///C:/6E4BB24E/Chapter9Presentation_files/slide0131.htm Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset="us-ascii" Geometry
Vertical Angles
pNonadjacent angles formed when two lines intersect
pVertical angles are equal
<= span style=3D'font-family:"Times New Roman"'>pAngles 1 & 3 are vertical, angles 2 & 4 are vertical
1
2
3
4
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Transversal
pA line that intersects two differ= ent lines
pAB is a transversal=
A
B
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Two Lines Cut by a Transversal
p
<= span style=3D'font-family:"Times New Roman"'>pInterior Angles
<= span style=3D'font-family:"Times New Roman"'>nAngles 3,4,5,6
<= span style=3D'font-family:"Times New Roman"'>pExterior Angles
<= span style=3D'font-family:"Times New Roman"'>nAngles 1,2,7,8 =
1
2
3
4
5
6
7
8
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Angles Created by a Transversal
<= span style=3D'font-family:"Times New Roman"'>pAlternate Interior Angles:  Interior angles with different vertices on opposite si= des of the transversal
<= span style=3D'font-family:"Times New Roman"'>pAlternate Exterior Angles:  Exterior angels with different vertices on opposite si= des of the transversal.
pCorresponding Angles:  One interior angle and one exterior angle with different vertices on the same side of the transversal
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When Two Parallel Lines are Cut = by a Transversal
pAlternate interior angles are equal
pAlternate exterior angles are equal
pCorresponding angles are equal
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Two Parallel Lines Cut by a <= /span>= Transversal
p
<= span style=3D'font-family:"Times New Roman"'>pAlternate Interior Angles
<= span style=3D'font-family:"Times New Roman"'>nAngles 3&6 and 4&5
<= span style=3D'font-family:"Times New Roman"'>pAlternate Exterior Angles
<= span style=3D'font-family:"Times New Roman"'>nAngles 1&8 and 2&7
<= span style=3D'font-family:"Times New Roman"'>pCorresponding Angles
<= span style=3D'font-family:"Times New Roman"'>nAngles 1&5, 2&6,
= 3&7, and 4&8
1
2
3
4
5
6
7
8
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Example
<= span class=3DHBB style=3D'position:absolute;left:-8.19%;top:.3em'>pm    1 =3D 112°.  Find all other angles.
1
2
3
4
5
6
7
8
Angl= es 1 and 2 are supplementary.  Therefore m    2 =3D 180 ‑ 112 =3D 68.
Angl= es 1 and 4 are vertical.  Therefore m    4 =3D 112.
Angl= es 2 and 3 are vertical.  Therefore m    3 =3D 68.
Angl= es 5,6,7,8 correspond to angles 1,2,3,4 respectively.
Ther= efore m    5 =3D 112, m    6 =3D 68, m    7 =3D 68, and m    8 =3D 112.
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Polygons
Section 9.2<= /b>
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Polygons:
pPolygon:  Closed figure in a plane determin= ed by three or more line segments <= /span>
pSides:  Line segments
pVertex:  Point where two sides meet
pRegular Polygon:  All sides are of equal length and= all interior angles are equal
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Types of Polygons
1080°
Octagon
8
900°
Heptagon
7
720°
Hexagon
6
540°
Pentagon
5
360°
Quadrilateral
4
180°
Triangle
3
Sum of Angles
Name
Number of Sides
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Theorem:  The sum of the interior ang= les of a triangle is 180°
pProof
p1 =3D 1’, Vertical Angles&#= 13;
p2 =3D 2’, Corresponding Angles
p3 =3D 3’, Corresponding Angles
p1’ + 2’ + 3’ =3D 180°
<= span style=3D'font-family:"Times New Roman"'>pTherefore, 1 + 2 + 3 =3D 180°
1
2
3
1’
2’
3’
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Theorem:  The sum of the interior <= /span>ang= les of a quadrilateral is 360°
p
pProof
pDraw a line segment creating two triangles
pSum of angles of each triangle is 180° <= /span>
pTherefore, sum of angles of quadrilateral is 360°
180°
180°
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Theorem:  The sum of the interior <= /span>ang= les of a pentagon is 540°
pProof
pDraw two line segments creating three triangles
pSum of angles of each triangle is 180° <= /span>
pTherefore, sum of angles of pentagon is 540°&= #13;
•
180°
180°
180°
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Sum of the Interior Angles of a = Polygon
= pThe sum of the interior angles of= a polygon with n= sides is (n – 2)(180°)
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Examples
pFind the sum of the interior angles of a hexagon
<= span style=3D'font-family:"Times New Roman"'>pFind the measure of each interior angle of a regular hexagon
pFind the sum of the interior angles of an octagon. =
<= span style=3D'font-family:"Times New Roman"'>pFind the measure of each interior angle of a regular octagon
<= span style=3D'font-family:"Times New Roman"'>pFind the sum of the interior angles of a ten-sided polygon
<= span style=3D'font-family:"Times New Roman"'>pFind the measure of each interior angle of a regular ten-sided polygon
(6 &= #8211; 2)(180°) =3D 4(180= ) =3D 720
720<= /font> 6 =3D 120

(8 &= #8211; 2)(180°) =3D 6(180= ) =3D 1080
1080= 8 =3D 135

(10 = – 2)(180°) =3D 8(180= ) =3D 1440
1440= 10 =3D 144

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Types of Triangles
pAcute Triangle:  All angles are acute
pObtuse Triangle:  One angle is obtuse
pRight Triangle:  One angle is a right angle
<= span style=3D'font-family:"Times New Roman"'>pIsosceles Triangle:  Two equal sides and two equal angles
<= span style=3D'font-family:"Times New Roman"'>pEquilateral Triangle:  Three equal sides and three equal angles
<= span style=3D'font-family:"Times New Roman"'>pScalene Triangle:  No equal sides, no equal angles
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Similar Figures
pSimilar Figures:=   Figures that have the same shape but different sizes
pCorresponding Sides, Correspon= ding Angles:  Shortest side corresponds to shor= test side, longest to longest, etc.  Same with angles.
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Similar Polygons
pPolygons in which corresponding angles are equal and corresponding sides are in proportion
pProportion:  A statement that two or more ratios are <= span style=3D'position:absolute;top:51.02%;left:3.64%;width:82.14%;height:48.97= %'>equal
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Example
A
B
C
4m
6m
8m
A’ =
B’
C’
6m
Δ= ;ABC is similar to ΔA’B’C’
Find the length= s of A’B’ and B’C’
A co= rresponds to A’, B corresponds to B’, and C corresponds to C’=
AB c= orresponds to A’B’, BC corresponds to B’C’, and AC correspon= ds to A’C’
A= B   BC   AC &nb= sp;   6m   8m   4m
A= 217;B’   B’C’   A’C’     A’B’= ;   B’C’   6m
Cros= s-Multiply
8m(6= m) =3D 4m(B’C’)   6= m(12m) =3D 8m(A’B’)
48m<= sup>2 =3D 4m(B’C’)   72m2 =3D 8m(A’B’)
12m<= span style=3D'mso-spacerun:yes'>  =3D B’C’   9m =3D A’B’

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Example
20”
12”
A
B
C
6”
15”
G
E
F
Δ= ;ABC is similar to ΔEFG
Find the length= s of AC and FG
A co= rresponds to F, B corresponds to E, and C corresponds to G
AB c= orresponds to FE, BC corresponds to EG, and AC corresponds to FG
A= B   BC   AC &nb= sp; 20”   12”   AC
FE   EG   FG   15”   EG   6”
Cros= s-Multiply
20&#= 8221;(EG) =3D 15”(12”)   1= 2”(6”) =3D 9”(AC)
20&#= 8221;(EG) =3D 180”2   72”2 =3D 9”(AC)
EG = =3D 9”   8” =3D AC

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Congruent Polygons
= pPolygons in which corresponding angles are equal and corresponding sides are equal
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Types of Quadrilaterals
pTrapezoid:  Two sides are parallel
p= Parallelogram:  Both pairs of opposite sides are parallel
pRectangle:  A parallelogram in which all angles are <= span style=3D'position:absolute;top:51.02%;left:3.7%;width:83.51%;height:48.97%= '>right angles
<= span style=3D'font-family:"Times New Roman"'>pRhombus:  A parallelogram in which all sides are of equal length
pSquare:  A rectangle that is also a rhombus
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Perimeter and Area
Section 9.3<= /b>
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Perimeter:
= pThe sum of the lengths of the sid= es of a
two-dimensional figure
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Example
5cm
4cm
2cm
4cm
4cm
4cm = + 4cm + 2cm + 4cm + 5cm =3D 19cm

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Area
= pRegion within the boundaries of a two-dimensional figure
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Area Formulae
Area =3D ½ height(b1 + b2)
Trapezoid
Area =3D ½ base x height
Triangle
Area =3D base x height
Parallelogram
Area =3D side2
Square
Area =3D length x width
Rectangle
Area
Figure
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Pythagorean Theorem:
pThe sum of the squares of the leg= s of a right triangle is equal to the square of the hypotenuse
pa2 + b2 =3D c2
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Example
20m
48m
Find the length of the unknow= n side
202 + 482 =3D c2
400 = + 2304 =3D c2
2704= =3D c2
√2704 =3D √c2
52 = =3D c
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Example
6”
12”
Find the length of the unknow= n side
62 += b2 =3D 122
36 += b2 =3D 144
b2 =3D 144 – 36
b2 =3D 108
√b2 =3D √108
b = =3D 10.39
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Circles
pCircle:  A set of points equal distance from a fixed point called a center =
pRadius:  A line segment from any point on the circle to the center <= /div>
pDiameter:  A line segment through the center of the = circle with both endpoints on the circle
pCircumference: =
nDistance around the circle (like perimeter)
nCircumference =3D 2 π r =
pArea of a Circle =3D π r2
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Examples
pFind the circumference and area o= f a circle with a radius of 8”
pFind the circumference and area o= f a circle with a diameter of 6cm
Circ= umference =3D 2 π r     Area =3D π r2
Circ= umference =3D 2 π 8”    = Area =3D π (8”)2
Circ= umference =3D 50.27”     Area =3D π 64 in2
        = ;   Area =3D 201.06 in2

Radi= us =3D 3m
Circ= umference =3D 2 π r     Area =3D π r2
Circ= umference =3D 2 π 3m     Area =3D π (3m)2
Circ= umference =3D 18.85m     Are= a =3D π 9 m2
        = ;   Area =3D 28.27 m2

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Volume
Section 9.4<= /b>
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Solid Geometry
= pThe study of three-dimensional so= lid figures
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Volume
= pMeasure of capacity of an object<= /span>
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Volume Formulae
Volume =3D 4/3πr3
Sphere
Volume =3D 1/3πr2 x height
Cone
Volume =3D πr2 x height
Cylinder
Volume =3D side3
Cube
Volume =3D length x width x height
Rectangular Solid
Volume
Figure
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Prisms
pPrism:=   A figure with two congruent bases
(top and bottom) and lateral faces (sides) that are parallelograms =
<= span style=3D'font-family:"Times New Roman"'>pRight Prism:  A prism with lateral faces (sides) that are rectangles
<= span style=3D'font-family:"Times New Roman"'>pVolume of a Prism =3D area of th= e base x height
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Pyramids
pPyramid:=   A figure with one base in which all other faces (sides) intersect at a comm= on vertex
pVolume of a Pyramid =3D 1/3 area of the base x height
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‹header›
‹date/time&= #8250;
Click to edit Master text styles
Second level
Third level
Fourth level
Fifth level
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‹#›
m    ABC =3D 90° ̴= 9; 27° =3D 63° <= /span>
m    CBD =3D 45° ̴= 9; 13° =3D 32°
m    EFG =3D 5(m    GFH)
m    GFH + m    EFG =3D 180° =
m    GFH + 5(m    GFH) =3D 180° m
6(m    GFH) =3D 180° = ;
m    GFH =3D 30° <= /span>
m    EFG =3D 5(m    GFH)
m    EFG =3D 5(30°)= 3;
EFG =3D 150°
m    XYZ =3D m    WYX + 17°
m    XYZ + m    WYX =3D 45° <= /span>
(m    WYX + 17°) + m    WYX =3D 45° <= /span>
2(m    WYX) + 17° =3D 45°
2(m    WYX) =3D 28° =
m    WYX =3D 14° <= /span>
m    XYZ =3D m    WYX + 17°
m    XYZ =3D 14° + 17°
m    XYZ =3D 31°
Angles 1 and 2 are supplementary.  Therefore m    2 =3D 180° ‑ 112° =3D 68°= .
Angles 1 and 4 are vertical.  Therefore m    4 =3D 112°.
Angles 2 and 3 are vertical.  Therefore m    3 =3D 68°.
Angles 5,6,7,8 correspond to angl= es 1,2,3,4 respectively.
Therefore m    5 =3D 112°, m    6 =3D 68°, m    7 =3D 68°, and m  &nb= sp; 8 =3D 112°.
(6 – 2)(180°) =3D 4(180= °) =3D 720°
720° ¸ 6 =3D 120°
(8 – 2)(180°) =3D 6(180= °) =3D 1080°
1080° ¸ 8 =3D 135°
(10 – 2)(180°) =3D 8(18= 0°) =3D 1440°
1440° ¸ 10 =3D 144°
A corresponds to A’, B corresponds to B’, and C corresponds to C’
AB corresponds to A’B’= ;, BC corresponds to B’C’, and AC corresponds to A’C’
AB BC AC 6m 8m 4m A’B’ B’C’ A’C’ A’B’ B’C’ 6m
Cross-Multiply
8m(6m) =3D 4m(B’C’) 6m(12m) =3D 8m(A’B’)
48m2 =3D 4m(B’C’) 72m2 =3D 8m(A’B’)
12m  =3D B’C’ 9m =3D A’B’ =
A corresponds to F, B corresponds= to E, and C corresponds to G
AB corresponds to FE, BC correspo= nds to EG, and AC corresponds to FG
AB BC AC 20” 12” AC
FE EG FG 15” EG 6”
Cross-Multiply
20”(EG) =3D 15”(12= 221;) 12”(6”) =3D 9”(AC)
20”(EG) =3D 180”2 72”2 =3D 9”(AC)
EG =3D 9” 8” =3D AC
4cm + 4cm + 2cm + 4cm + 5cm =3D 19cm
202 + 482 =3D c2
400 + 2304 =3D c2
2704 =3D c2
√2704 =3D √c2
52 =3D c
62 + b2 =3D 122
36 + b2 =3D 144
b2 =3D 144 – 36
b2 =3D 108
√b2 =3D √108
b =3D 10.39
Circumference =3D 2 π r Area =3D π r2
Circumference =3D 2 π 8̶= 1; Area =3D π (8”)<= /span>2
Circumference =3D 50.27” Area =3D π 64 in= 2
Area =3D 201.06 in2
Radius =3D 3m
Circumference =3D 2 π r Area =3D π r2
Circumference =3D 2 π 3m Area =3D π (3m)= 2
Circumference =3D 18.85m Area =3D π 9 m<= span style=3D'font-family:"Times New Roman";mso-ascii-font-family:"Times New Ro= man"; mso-hansi-font-family:"Times New Roman";font-size:67%;position:relative; top:-.45em;mso-text-raise:30%'>2
Area =3D 28.27 m2
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FULLSCR_HREF = : FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref; if(PPTNav.event.ctrlKey) { var w =3D (window.screen.availWidth * 1.0) / 2.0 var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top= =3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } else { win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" ); if( PPTSld.g_animUseRuntime ) win.document.body.PPTSldFrameset=3Dwindow; } } function ToggleVNarration() { rObj=3DPPTSld.document.all("NSPlay") if( rObj && !PPTSld.g_animUseRuntime ) { if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) ) rObj.Play() else if( rObj.playState =3D=3D 2 ) rObj.Pause() else return; } else if( PPTSld.g_animUseRuntime ) { narObj =3D PPTSld.document.all("narrationID") if( narObj ) narObj.togglePause() } } function GetCurSldNum() { obj=3DGetHrefObj(gCurSld) if( obj.mOrigVis =3D=3D 1 ) return obj.mSldIdx else return gCurSld } function GetNumSlds() { if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 ) return GetSldList().mNumVisSlds; else return GetSldList().mList.length } function GetSldNum( href ) { for(ii=3D0; ii 1 ) PopSldList(); else if( !IsFramesMode() ) { if( gLoopCont ) GoToFirst() else EndShow() } } function GoToPrevSld() { ii=3DgCurSld-1 if( ii > 0 ) { obj=3DGetHrefObj(ii) while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) ) obj=3DGetHrefObj(--ii) if( ii =3D=3D 0 ) ii=3D1 GoToSldNum(ii) } } function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) } function GoToLast() { ii=3DGetSldList().mList.length if( ii !=3D gCurSld ) GoToSld( GetHrefObj(ii).mSldHref ) } function GoToSldNum( num ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue obj =3D GetHrefObj( num ) obj.mVis=3D1 gPrevSld=3DgCurSld gCurSld =3D num; PPTSld.location.replace(MHTMLPrefix+obj.mSldHref) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function GoToSld( href ) { if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue GetHrefObj( GetSldNum(href) ).mVis=3D1 PPTSld.location.replace(MHTMLPrefix+href) } function SldUpdated( id ) { if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return gPrevSld=3DgCurSld gCurSld=3DGetSldNum(id) if( IsFramesMode() ) { UpdNavPane(); UpdOtlPane(); UpdNtsPane() } } function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) } function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO= bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) } function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) } function CloseWindow() { if( HideMenu() ) return; var event =3D PPTSld.event; if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D= =3D32 || event.type=3D=3D"click" ) ) window.close( self ); CatchNumKeys( self, event ); } function Unload() { gIsEndShow=3D0; } function SetupEndShow() { gIsEndShow=3D1; PPTSld.document.body.scroll=3D"no"; PPTSld.document.onkeypress=3DCloseWindow; PPTSld.document.onclick=3DCloseWindow; PPTSld.document.oncontextmenu=3D_CM; } function EndShow() { if( IsFramesMode() ) return if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue doc=3DPPTSld.document doc.open() doc.writeln('


' + ENDSHOW_MESG + '

') doc.close() } function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue } function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited } function hrefList( sldHref, visible, advDelay, advClk ) { this.mSldHref=3D this.mNtsHref =3D sldHref this.mOrigVis=3D this.mVis =3D visible this.mVisited=3D false this.mAdvDelay=3D advDelay this.mAdvOnClk=3D advClk } function SldList(arr,curSld,fEnd) { this.mCurSld =3D curSld; this.mList =3D new Array(); var idx =3D 1; for(ii=3D0;ii 0) { PushSldList(sldList,fEnd); gCurSld =3D 1; } else if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue } function PushSldList(arr,fEnd) { var ii =3D gSldStack.length; gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd); GoToSld( gSldStack[ii].mList[0].mSldHref ); } function PopSldList() { if (gSldStack[gSldStack.length-1].fEndShow) EndShow() else { gCurSld =3D gSldStack[gSldStack.length-1].mCurSld; gSldStack[gSldStack.length-1] =3D null; gSldStack.length--; var sldList =3D gSldStack[gSldStack.length-1]; GoToSld( sldList.mList[gCurSld - 1].mSldHref ); } } var custShowList=3Dnew Array(); function ImgBtn( oId,bId,w,action ) { var t=3Dthis t.Perform =3D _IBP t.SetActive =3D _IBSetA t.SetInactive=3D _IBSetI t.SetPressed =3D _IBSetP t.SetDisabled=3D _IBSetD t.Enabled =3D _IBSetE t.ChangeIcon =3D null t.UserAction =3D action t.ChgState =3D _IBUI t.mObjId =3D oId t.mBorderId=3D bId t.mWidth =3D w t.mIsOn =3D t.mCurState =3D 0 } function _IBSetA() { if( this.mIsOn ) { obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 ) obj.style.posTop=3D0 } } function _IBSetI() { if( this.mIsOn ) { obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 ) obj.style.posTop=3D0 } } function _IBSetP() { if( this.mIsOn ) { obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 ) obj.style.posLeft+=3D1; obj.style.posTop+=3D1 } } function _IBSetD() { obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 ) obj.style.posTop=3D0 } function _IBSetE( state ) { var t=3Dthis GetObj( t.mBorderId ).style.visibility=3D"visible" if( state !=3D t.mIsOn ) { t.mIsOn=3Dstate if( state ) t.SetInactive() else t.SetDisabled() } } function _IBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( t.ChangeIcon ) { obj=3DGetObj(t.mObjId) if( t.ChangeIcon() ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth else obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth } t.SetActive() } } function _IBUI( clr1,clr2,nextState ) { var t=3Dthis SetBorder( GetObj( t.mBorderId ),clr1,clr2 ) obj=3DGetObj( t.mObjId ) obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj= .style.posTop t.mCurState=3DnextState return obj } function TxtBtn( oId,oeId,action,chkState ) { var t=3Dthis t.Perform =3D _TBP t.SetActive =3D _TBSetA t.SetInactive=3D _TBSetI t.SetPressed =3D _TBSetP t.SetDisabled=3D _TBSetD t.SetEnabled =3D _TBSetE t.GetState =3D chkState t.UserAction =3D action t.ChgState =3D _TBUI t.mObjId =3D oId t.m_elementsId=3D oeId t.mIsOn =3D 1 } function _TBSetA() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gHiliteClr,gShadowClr,0,0 ) } function _TBSetI() { var t=3Dthis if( t.mIsOn && !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) } function _TBSetP() { if( this.mIsOn ) this.ChgState( gShadowClr,gHiliteClr,1,1 ) } function _TBSetD() { this.ChgState( gFaceClr,gFaceClr,0,0 ) this.mIsOn =3D 0 } function _TBSetE() { var t=3Dthis if( !t.GetState() ) t.ChgState( gFaceClr,gFaceClr,0,0 ) else t.ChgState( gShadowClr,gHiliteClr,1,1 ) t.mIsOn =3D 1 } function _TBP() { var t=3Dthis if( t.mIsOn ) { if( t.UserAction !=3D null ) t.UserAction() if( !t.GetState ) return if( t.GetState() ) t.SetPressed() else t.SetActive() } } function _TBUI( clr1,clr2,lOffset,tOffset ) { SetBorder( GetObj( this.mObjId ),clr1,clr2 ) Offset( GetObj( this.m_elementsId ),lOffset,tOffset ) } function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle= ft } function SetBorder( obj, upperLeft, lowerRight ) { s=3Dobj.style; s.borderStyle =3D "solid" s.borderWidth =3D 1 s.borderLeftColor =3D s.borderTopColor =3D upperLeft s.borderBottomColor=3D s.borderRightColor =3D lowerRight } function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] } function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() } function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() } function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() } function BtnOnUp() { b=3DGetBtnObj() if( b !=3D null ) b.Perform() else Upd() } function GetNtsState(){ return parent.gNtsOpen } function GetOtlState(){ return parent.gOtlOpen } function GetOtlTxtState(){ return parent.gOtlTxtExp } function NtsBtnSetFlag( fVal ) { s=3Ddocument.all.item( this.m_flagId ).style s.display=3D"none" if( fVal ) s.display=3D"" else s.display=3D"none" } function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etActive() } function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S= etInactive() } var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"= THREEDFACE" var gBtnArr =3D new Array() gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan= e,GetOtlState ) gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt= lPane,GetOtlState ) gBtnArr["nb_nts"] =3D new TxtBtn( "nb_nts","nb_ntsElem",parent.ToggleNtsPan= e,GetNtsState ) gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","nb_prevBorder",30,parent.GoToP= revSld ) gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","nb_nextBorder",30,parent.GoToN= extSld ) gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent= .FullScreen ) gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa= rent.FullScreen,null ) gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border; gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent= .FullScreen,null ) gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border; gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border; gBtnArr["nb_voice"] =3D new ImgBtn( "nb_voice","nb_voiceBorder",18,parent.= ToggleVNarration ) gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlTxt","nb_otlTxtBorder",23,parent= .ToggleOtlText ) gBtnArr["nb_nts"].m_flagId=3D "notes_flag" gBtnArr["nb_nts"].SetFlag =3D NtsBtnSetFlag gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr= row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval" function ShowMenu() { BuildMenu(); var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y= =3DPPTSld.event.clientY+doc.scrollTop m =3D PPTSld.document.all.item("ctxtmenu") m.style.pixelLeft=3Dx if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) ) m.style.pixelLeft=3Dx-m.scrollWidth m.style.pixelTop=3Dy if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) ) m.style.pixelTop=3Dy-m.scrollHeight m.style.display=3D"" } function _CM() { if( !parent.IsFullScrMode() ) return; if(!PPTSld.event.ctrlKey) { ShowMenu() return false } else HideMenu() } function BuildMenu() { if( PPTSld.document.all.item("ctxtmenu") ) return var mObj=3DCreateItem( PPTSld.document.body ) mObj.id=3D"ctxtmenu" mObj.style.visibility=3D"hidden" var s=3DmObj.style s.position=3D"absolute" s.cursor=3D"default" s.width=3D"120px" SetCMBorder(mObj,"menu","black") var iObj=3DCreateItem( mObj ) SetCMBorder( iObj, "threedhighlight","threedshadow" ) iObj.style.padding=3D2 CreateMenuItem( iObj,sNext,M_GoNextSld,M_True ) CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld ) CreateSeparator( iObj ) CreateMenuItem( iObj,sEnd,M_End,M_True ) mObj.style.visibility=3D"visible" } function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa= lue=3Dfalse } function Highlight() { ChangeClr("activecaption","threedhighlight") } function Deselect() { ChangeClr("threedface","menutext") } function Perform() { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) e.Action() else PPTSld.event.cancelBubble=3Dtrue } function ChangeClr( bg,clr ) { e=3DPPTSld.event.srcElement if( e.type=3D=3D"menuitem" && e.IsActive() ) { e.style.backgroundColor=3Dbg e.style.color=3Dclr } } function M_HasPrevSld() { return( parent.HasPrevSld() ) } function M_GoNextSld() { if( gIsEndShow ) M_End(); 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