### Review PP for Quiz 7

```Write the inverse:
Is it true or false?
If an animal is a panda, then it is
black and white.
If an animal is not a panda, then it is
not black and white.
(False—zebra)
Which angle is the smallest?
Which side is the shortest?
A
57˚
B
82˚
41˚
C
<C, side AB
Find the sum of the interior
angles of a:
16-gon
14(180) = 2520˚
Find the measure of one interior
angle of a regular:
Octagon
6(180) = 135˚
8
1 pair of opposite sides congruent
IT
Find the measure of one exterior
angle of a regular:
Pentagon
360 = 72˚
5
Find the measure of one exterior
angle of a regular:
20-gon
360 = 18˚
20
Find the sum of the exterior
angles of a:
20-gon
360˚
Congruent diagonals
R, S, IT
Find the midpoint:
(3, 5)
(8, 9)
AVERAGE!!
(5.5, 7)
Perpendicular diagonals
Rh, S
1 pair of opposite sides //
Trapezoid
2 pairs of opposite sides congruent
P, R, Rh, S
Find the measure of one exterior
angle of a regular:
Octagon
360 = 45˚
8
Find the sum of the exterior
angles of a:
37-gon
360˚
Find the sum of the interior
angles of a:
Hexagon
4(180) = 720˚
Which angle is the smallest?
Which side is the shortest?
A
B
65˚
50˚
65˚
180 – 50 = 130
130 /2 = 65
C
<A, side BC
Diagonals that bisect each other
P, R, Rh, S
Find the measure of angle J
72˚
J
54˚
180 – 72 = 108
108 /2 = 54
Write a biconditional:
If 2 segments are congruent, then
they have the same length.
Two segments are
congruent iff they have the
same length.
Opposite angles congruent
P, R, Rh, S
Find the sum of the exterior
angles of a:
septagon
360˚
Write a biconditional:
If a polygon is a hexagon, then it has
6 sides.
A polygon is a hexagon
iff it has 6 sides.
Find the distance:
(3, 5)
2
5
2
4
(8, 9)
2
d
+ =
25 + 16 = d2
41 = d2
6.40 ≈ d
Find the midpoint:
(-9, 7)
(-8, -1)
AVERAGE!!
(-8.5, 3)
Find the measure of one interior
angle of a regular:
Pentagon
3(180) = 108˚
5
Write the converse:
Is it true or false?
If an animal is a panda, then it is
black and white.
If an animal is black and white, then
it is a panda.
(False—zebra)
Find the distance:
(-9, 7)
2
1
2
8
(-8, -1)
2
d
+ =
1 + 64 = d2
65 = d2
8.06 ≈ d
Find the midpoint:
(10, -4)
(4, 4)
AVERAGE!!
(7, 0)
Find the measure of one exterior
angle of a regular:
Decagon
360 = 36˚
10
Find the sum of the exterior
angles of a:
nonagon
360˚
Find the distance:
(-2, 3)
2
12
2
5
(10, -2)
2
d
+ =
144 + 25 = d2
169 = d2
13 = d
Find the midpoint:
(-2, 3)
(10, -2)
AVERAGE!!
(4, ½)
Diagonals that bisect angles
Rh, S
Write a biconditional:
If a quadrilateral has both pairs of
opposite sides congruent, then it is a
parallelogram.
of opposite sides congruent
iff it is a parallelogram.
Find the distance:
(2, -10)
2
7
2
24
(-5, 14)
2
d
+
=
49 + 576 = d2
625 = d2
25 = d
Find the midpoint:
(2, -10)
(-5, 14)
AVERAGE!!
(-1.5, 2)
Find the measure of angle J
59 + 72 = 131
180 – 131 = 49
59˚
72˚
49˚
J
Write the contrapositive:
Is it true or false?
If an animal is a panda, then it is
black and white.
If an animal is not black and white,
then it is not a panda.
(True)
Find the sum of the interior
angles of a:
Dodecagon
10(180) = 1800˚
Which angle is the smallest?
Which side is the shortest?
A
(x + 2)˚
62˚
B
58˚
(x – 2)˚
60˚x˚
C
<B, side AC
x + x – 2 + x + 2 = 180
3x = 180
x = 60
Find the measure of one interior
angle of a regular:
16-gon
14(180) = 157.5˚
16
Find the distance:
(10, -4)
2
6
2
8
2
d
+ =
36 + 64 = d2
100 = d2
10 = d
(4, 4)
Find the measure of angle J
(5x + 1)˚
J
(3x + 3)˚
(3x)˚
5x + 1 + 3x + 3 + 3x = 180
11x + 4 = 180
11x = 176
x = 16
3(16) + 3 = 52˚
2 pairs of opposite sides //
P, R, Rh, S
```