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Polygons

Total questions: 40

Worksheet time: 2hrs 34mins

Name
Class
Date
1.
What is a polygon?
a)
A closed plane figure made up of line segments
b)
An open plane figure made up of line segments
c)
A closed plane figure made up of rays
d)
An open plane figure made up of rays
2.
Which of these figures are considered polygons?
a)
a, b, c, d
b)
b, d, e, f
c)
a, b, c
d)
a, e, f
3.
A POLYGON IS:
A figure that curves
a)
correct
b)
incorrect
c)
not sure
4.
A POLYGON IS:
A figure with closed lines
a)
correct
b)
incorrect
c)
not sure
5.
This is a pentagon. Pentagons have...
a)
5 sides and 5 angles
b)
3 sides and 2 angles
c)
2 sides and 3 angles
d)
10 sides all together
6.

What polygon has 5 sides and 5 vertices?

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Quadrilateral

7.
Cam drew a pentagon, a triangle, an octagon,  hexagon, and a quadrilateral. Which of these polygons has eight sides? 
a)
Quadrilateral
b)
Pentagon
c)
Hexagon
d)
Octagon
8.
Which of the following statements is not true? 
a)
A trapezoid is a rectangle. 
b)
A square is also a rectangle. 
c)
A rectangle is a quadrilateral. 
d)
A square is also a rhombus. 
9.
Patrick drew the parallelogram below. 
What is the length of side BD? 
a)
250
b)
85
c)
335
10.

All rhombuses are parallelograms, and all rhombuses are kites. So, all kites are parallelograms.

a)

True

b)

False

11.

All squares are rectangles, and all squares are rhombuses. So, all rhombuses are rectangles.

a)

True

b)

False

12.

Which quadrilaterals have two sets of parallel lines? Select all that apply.

a)

rhombus

b)

trapezoid

c)

square

d)

rectangle

e)

kite

13.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
14.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
15.
Find the angle sum of the interior angles of the polygon.
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
16.
Find the angle Find the angle sum of the interior angles of the polygon. of the polygon.
a)
720° 
b)
900° 
c)
1080° 
d)
1260° 
17.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
18.
Find the measure of the angle x.
a)
105
b)
115
c)
65
d)
75
19.
Find the value of X
a)
94
b)
25
c)
36
d)
180
20.

What is the measure of each interior angle of a Regular Polygon?

a)

S = (n-2)*180

b)

S = ((n-2)*180)/n

c)

S = (n-2)*360

d)

360/n

21.

What is the measure of ONE interior angle of a regular octagon?

a)

135

b)

180

c)

145

d)

190

22.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

23.
What is the sum of exterior angles for a 27-gon?
a)
4860
b)
4500
c)
360
d)
270
24.
What is the sum of interior angles for a 27-gon?
a)
4860
b)
4500
c)
3700
d)
2700
25.
What is the sum of the exterior angles?
a)
180 degrees
b)
45 degrees
c)
360 degrees
d)
270 degrees
26.

Given a regular polygon. Find the value of x.

a)

x=72°x=72\degree   

b)

x=45°x=45\degree  

c)

x=60°x=60\degree  

d)

x=51.4°x=51.4\degree  

27.
Convex or Concave?
a)
Convex
b)
Concave
28.
Convex or Concave?
a)
Convex
b)
Concave
29.
Convex or Concave?
a)
Convex
b)
Concave
30.
What is the sum of the exterior angles in a decagon?
a)
10
b)
360
c)
36
d)
1440
31.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
32.
The opposite angles of a parallelogram are ...
a)
complementary
b)
congruent
c)
supplementary
d)
perpendicular
33.
Find the measure of angle b.
a)
b = 51
b)
b = 129
34.
Find the value of X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
35.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
36.
The sum of the exterior angles of a polygon is __________________ where n is the number of sides.
a)
360
b)
n
c)
(n - 2)180
d)
(n - 1)180
37.

What is the measure of each exterior angle of a 15-gon?

a)

156°

b)

24°

c)

45°

d)

75°

38.

What is the measure of an exterior angle of a decagon?

a)

18°

b)

36°

c)

72°

d)

90°

39.

How do the interior and exterior angles of a polygon relate?

a)

They add to 90º

b)

They are congruent

c)

They add to 180º

d)

They have no relationship

40.

Solve for a.

a)

90°

b)

180°

c)

270°

d)

80°

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