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Polygons Unit Review

Total questions: 40

Worksheet time: 1hrs 21mins

Name
Class
Date
1.
Polygon or Non-Polygon?
a)
Polygon
b)
Non-Polygon
2.

Identify if the polygon shown is regular or irregular and give the name based on the number of sides.

a)

Regular pentagon

b)

Regular hexagon

c)

Irregular pentagon

d)

Irregular hexagon

3.

Name the polygon and identify whether it is concave or convex.

a)

Hexagon, Concave

b)

Hexagon, Convex

c)

Octagon, Concave

d)

Octagon, Convex

4.

Find the area? A =12bhA\ =\frac{1}{2}bh 

a)

17 units2

b)

20 units2

c)

10 units2

d)

16 units2

5.

Find the value of x.

a)

50

b)

360

c)

90

d)

7

6.
How many of the following polygons are CONCAVE?
a)
All are concave
b)
1 is concave
c)
2 are concave
d)
None are concave
7.
Find the value of y.
a)
110
b)
90
c)
130
d)
120
8.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
9.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
10.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
11.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
a)
15°
b)
30°
c)
60°
d)
90°
12.
Find the measure of the angle x.
a)
105
b)
115
c)
65
d)
75
13.
Find the measure of angle b
a)
75 degrees
b)
20 degrees
c)
30 degrees
d)
55 degrees
14.
Find the value of X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
15.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
16.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
17.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
18.
A __________________ is always a rhombus, but a rhombus is not always a _______________. 
a)
rhombus
b)
parallelogram
c)
square
d)
rectangle
19.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
20.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides. 
a)
TRUE
b)
FALSE
21.
What is NOT a property of a rectangle?
a)
Diagonals are congruent.
b)
Diagonals bisect each other.
c)
Diagonals are perpendicular.
d)
All angles are congruent.
22.
What is the correct name for the shape?
a)
Rectangle
b)
Trapezoid
c)
Kite
d)
Pentagon
23.
This figure is not a _______.
a)
trapezoid
b)
square
c)
rectangle
d)
parallelogram
24.
What is the name of this shape?
a)
Kite
b)
Rhombus
c)
Square
d)
Rectangle
25.
What do a rhombus and a rectangle have in common?
a)
they are both parallelograms
b)
they always have four right angles
c)
they are not polygons
d)
they have five sides
26.
Which quadrilateral cannot be called a parallelogram?
a)
Square
b)
Trapezoid
c)
Rectangle
d)
Rhombus
27.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

28.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

29.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
30.
Solve for the variables.
a)
g=61, h=25
b)
g=60, h=9
c)
g=61, h=9
31.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
32.
Solve for the variables.
a)
m=68, n=70
b)
m=35, n=70
c)
m=35, n=110
d)
m=68, n=110
33.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
34.

Given parallelogram ABCD with

m∠B = 5x and m∠C = 3x+4.

Find the number of degrees in ∠D.

a)

70

b)

110

c)

73

d)

115

35.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

36.

Solve for x.

a)

14

b)

20

c)

8

d)

10

37.

Solve for x.

a)

11

b)

27

c)

29

d)

10

38.
Find the area of a parallelogram with a base of 30 m and a height of 25 m
a)
750 m2
b)
375 m2
c)
705 m2
d)
110 m2
39.

Find the area of the rhombus.

a)

70

b)

35

c)

140

d)

60

40.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2

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