Download Review: area OF pOLYGONS AND QUADRILATERALS For each of

Review: AREA OF POLYGONS & QUADRILATERALS
NAME:
DATE:
PERIOD:
For each of the regular polygons, find the sum of the measures of the interior angles, and then find the measure of
each interior angle.
1. Sum = ____________
Pentagon
Each = ____________
2. Sum = ____________
Nonagon
Each = ____________
3. Sum = ____________
18-gon
Each = ____________
Find the missing angle. (HINT: Find the sum of the interior angles FIRST.)
110
4. x = ____________
120
x
130
175
100
120
5. x = ____________
100
92
140
6. n = ____________
x
The measure of one interior angle of a regular polygon is 144. Find
the number of sides of the polygon.
Geometry Unit 7- Properties of Polygons
Page 527
Review: AREA OF POLYGONS AND QUADRILATERALS
Find the values of x and y for the following parallelograms.
6y
7. x = ____________
y = ____________
(5x + 10)
60
28
8. x = ____________
124
y = ____________
(4x + 24)
(3y+1)
9. x = ____________
LMNO is a rectangle. If LMN = (12x + 18), find the value of ‘x’.
L
M
O
N
Use rhombus ABCD and the given information to find each value.
B
A
10. mACD=____________
If mBAF = 28, find mACD.
F
C
D
Use rhombus PQRS and the given information to find each value.
11. SQ = ____________
If ST = 13, find SQ.
S
R
T
12. mQRS =___________
If mPRS = 17, find mQRS.
Geometry Unit 7- Properties of Polygons
Q
P
Page 528
Review: AREA OF POLYGONS AND QUADRILATERALS
Find the value of ‘x’ in the trapezoid below.
_________13.
Find the value of ‘x’ in the trapezoid below.
(x+68)
(x+22)
14. DONE is an isosceles trapezoid, mEDO = 110 and mDEN = (15x – 5).
Find the value of ‘x’.
O
D
S
x=
E
N
15. Rectangle ABCD, mAVB = 128. Find the following angles:
A
B
mBVC =
V
mBCV =
mDCV =
C
D
16. Square XYZW
X
Y
mWHZ =
H
mHYZ =
mXWZ =
Geometry Unit 7- Properties of Polygons
W
Z
Page 529
Review: AREA OF POLYGONS AND QUADRILATERALS
Match the diagram to the most accurate figure. Don’t use any name more than
once.
17.
18.
80
100
100
19.
a. Parallelogram
b. Rhombus
c. Rectangle
d. Square
20.
21. Find the area of the figure below:
17
8
A=
Geometry Unit 7- Properties of Polygons
Page 530
Review: AREA OF POLYGONS AND QUADRILATERALS
22. Find the area of the triangle below:
12 yd
A=
23. Graph and find the area of the figure on the coordinate plane.
A(0, 0), B(6, 0), C(3, 5), D(9, 5)
A=
24. A rhombus has an area of 60 square centimeters. If the length of one diagonal
is 12 cm, find the length of the other.
A=
25. Find the area of the figure below.
12
8
60
A=
Geometry Unit 7- Properties of Polygons
Page 531
Review: AREA OF POLYGONS AND QUADRILATERALS
26. Find the area of the composite figure.
5
4
8
A=
27. The length of a rectangle is 3 inches more than the width. The area is 40
square inches. Find the length of the rectangle. Circle your answer.
A. 3 in.
B. 5 in.
C. 8 in.
D. 11 in.
28. Find the area of the square below.
Perimeter = 60
A=
12 m
29. Find the area of the figure to the right.
5m
10 m
8m
A=
30. Find the area of the figure below on the coordinate plane.
(b, c)
A=
Geometry Unit 7- Properties of Polygons
(0, 0)
(b + a, c)
(a, 0)
Page 532