Chapter 8

1
Chapter 8 7 Vocabulary
2
Presentations
SAMANTHA ALDRIDGE JONATHAN CARDENAS RICHARD
CHASTAIN APRIL CHRIST DAVINA COX JESSE DAY THOMAS
DELACRUZ ETIENNE MACKENDJO ARIEL FUTRELL AMANDA
GAMEZ BIANEY GAMEZ MELISSA LOPEZ AYRIANNA
MACRELLIS-JONES JOHN PARKER JOSEPH
PRESSENDO MARVIN REAVES DIANET REYES-GARCIA JESSIE
SANCHEZ ZANDRA STRAPLE CAYLEN WOUTERS DANIEL
ZAVALA-SARABIA TIERRA WILLIAMS
3
Diagonal (Page 404) A segment connecting any
two nonconsecutive vertices.
Interior angle sum theorem (Page 404) In a
convex polygon, the sum of the interior angles
180(n 2)
For a pentagon 180(5-2) 180(3) 540 degrees
4
Why? Because 180 180 180 540, as shown below.
3
2
4
1
5
Exterior angle sum theorem (Page 406) In a
convex polygon, the sum of the exterior angles
360 degrees
Why? Because 180(5)(sides) 900/ 900 540 360
5
Parallelogram A four sided figure with parallel
opposite sides (Page 411)
Diagonals of parallelograms Bisect each other
(Page 413)
Diagonals of parallelograms Separate it into 2
congruent Ds (Page 414)
6

• Definition of parallelogram (Page 418)
• Both pairs of opposite sides are congruent
• Both pairs of opposite angles are congruent
• Both pairs of diagonals bisect each other
• At least one pair of opposite sides are both
  parallel and congruent.

7
Rectangle (Page 424) A quadrilateral with 4
right angles and congruent diagonals.
8
Rhombus (Page 431) A Parallelogram with
diagonals that are perpendicular
9
Trapezoid (Page 439) A quadrilateral having only
one pair of parallel sides called base1 and base2.
Isosceles Trapezoid (Page 439) A quadrilateral
having only one pair of parallel sides called
base1 and base2, with congruent base angles and
congruent diagonals.
10
Median of a Trapezoid (Page 440) A segment
joining the midpoints of both congruent legs
which is parallel to base1 and base2 and
measures one-half the sum of both bases.
10 inches
11inches
12 inches
11
Chapter 8 7 Vocabulary
Pythagorean Theorem a2 b2 c2 (Page 350)
Pythagorean Triple Three numbers satisfying the
equationa2 b2 c2
45-45-90 SRT The hypotenuse is radical 2 times
the length of the other two equal sides.
30-60-90 SRT The hypotenuse is 2 times the
length of the short leg while the long leg is
radical 3 times the length of the short leg.
60
45
30
45
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Chapter 8 7 Vocabulary
3-4-5 SRT (Explain how this works)
5-12-13 SRT (Explain how this works)
13
5
3
5
12
4
13
45-45-90 Ghost Demo
20 feet
16 feet
45
45
18 feet
14
3-4-5 Ghost Demo
20 feet
13 feet
16 feet
16 feet
15
5-12-13 Ghost Demo
20 feet
11 feet
16 feet
8 feet
16
30-60-90 Ghost Demo
20 feet
16 feet
60
30
15 feet
17
Convex Polygon A polygon wherein no points
contained in any lines drawn from any of its
sides may be found in its interior
(CONVEX)
(This polygon is concave.)
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STOP
19
Presentations
SAMANTHA ALDRIDGE JONATHAN CARDENAS RICHARD
CHASTAIN APRIL CHRIST DAVINA COX JESSE DAY THOMAS
DELACRUZ ETIENNE MACKENDJO ARIEL FUTRELL AMANDA
GAMEZ BIANEY GAMEZ MELISSA LOPEZ AYRIANNA
MACRELLIS-JONES JOHN PARKER JOSEPH
PRESSENDO MARVIN REAVES DIANET REYES-GARCIA JESSIE
SANCHEZ ZANDRA STRAPLE CAYLEN WOUTERS DANIEL
ZAVALA-SARABIA TIERRA WILLIAMS