WorksheetsAngles of Polygons & Similar Triangles
Total questions: 21
Worksheet time: 1hrs 18mins
Name
Class
Date
1.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
2.
What is the SUM of the angle measures in a hexagon (6 sides)?
a)
720°
b)
1080°
c)
600°
d)
540°
3.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
4.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
5.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
6.
What is the measure of ONE interior angle in a regular triangle (3 sides)?
a)
15°
b)
30°
c)
60°
d)
90°
7.
Find the angle SUM of the interior angles of the polygon.
a)
180°
b)
540°
c)
720°
d)
1080°
8.
Find the angle SUM of the interior angles of the polygon.
a)
720°
b)
900°
c)
1080°
d)
1260°
9.
Find the value of X
a)
94
b)
25
c)
36
d)
180
10.
What is the formula for the sum of interior angles in a polygon?
a)
180(n−2)
b)
180(n−2)÷n
c)
360
d)
360/n
11.
What is the formula for one interior angle in a regular polygon?
a)
180(n−2)
b)
180(n−2)
n
c)
360
d)
360/n
12.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
13.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
14.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
15.
Find side length X.
a)
30
b)
25
c)
15
d)
40
16.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
17.
Are the triangles similar?
a)
Yes
b)
No
18.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
19.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
20.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
21.
Find the missing angle.
a)
75
b)
85
c)
100
d)
45
100 %
