Unit 10 Review
1) Complete the table.
Polygon
Sum of
interior
angles
If regular,
measure of
each interior
angle
If regular,
measure of
each
exterior
angle
Sum of
exterior
angles
n-gon
decagon
140
1080
60
pentagon
162
2) Two of the interior angles of an octagon are 126° & 146°. The other
six angles are congruent. What is the measure of one of the 6
congruent angles?
3) Find x.
110
140
85
2X
130
125
4) Find the measure of an exterior angle of a regular decagon
5) WXYZ is a parallelogram. Find each measure.
Y
WV =
X
3y-7
x+8
5x
WY =
2y
V
Z
W
XZ =
VX =
6) Using parallelogram STAR, find each value.
S
T
(2y-20)
7x
2x+15
(3y+10)
R
A
X=
Y=
TA =
m<A =
Use Rectangle RSTU for 7 & 8.
S
R
1
X
2
U
T
7) If m<1 = 54°, find m<2.
8) If XT = 2x-3 and US = 32, find x.
9) Complete the following statements with either always, sometimes, or
never.
A) A rectangle is ________________ a parallelogram.
B) A parallelogram is ________________ a rhombus.
C) A square is ___________________ a rhombus.
D) A square is ___________________ a rectangle.
E) A rhombus is __________________ a square.
F) A rhombus is __________________ a rectangle.
G) A rectangle is _________________ a quadrilateral.
H) A rectangle is ____________________ a square.
10 ) Give the best classification for the following figure. Justify your
Y
12
answer.
11
10
(-5,2),(-5,6)(-1,6),(2,1)
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
11) ABCD is a ______________. What is it’s perimeter?
A(-3,5), B(2, 7), C(4, 2), D(-1, 0)
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
X
1 2 3 4 5 6 7 8 9 10 11 12
Y
X
1 2 3 4 5 6 7 8 9 10 11 12
12) ABCD is a parallelogram. Give the coordinates of the point where
Y
12
the diagonals intersect.
11
10
9
A(12, 0), B(4, 0), C(-4, 10), D(4, 10)
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
X
1 2 3 4 5 6 7 8 9 10 11 12
13) Trapezoid ABCD is given. If the bases are segments AB and CD,
find the length of the midsegment parallel to these two bases.
Y
A(-2, -3), B(10, -3), C(6, 4), D(2, 4)
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1-10
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
X
1 2 3 4 5 6 7 8 9 10 11 12
Quadrilaterals:
Property
Both pair of opposite sides
are congruent
All 4 sides are congruent
Both pairs of opposite sides
are parallel
Both pair of opposite angles
are congruent
Only 1 pair of opposite angles
are congruent
2 pair of consecutive sides
are congruent
All 4 angles are right
Diagonals bisect each other
Diagonals are congruent
Diagonals are perpendicular
Consecutive angles are
supplementary
Only 1 pair of parallel sides
Sum of the interior angle
measures is 360
Diagonals bisect opposite
angles
Parallelogram
Rectangle
Rhombus
Square
Trapezoid
Kite
Isosceles
Trapezoid