WorksheetsSimilar Figures & Parallel Lines Cut by a Transversal
Total questions: 46
Worksheet time: 2hrs 28mins
Name
Class
Date
1.
a)
ABC and DEF
b)
ABC and GHI
c)
DEF and GHI
d)
None
2.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
3.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
4.
The pair of figures is similar. Find the missing side.
a)
x = 10
b)
x = 4
c)
x = 2
d)
x = 5
5.
The pair of figures is similar. Find the missing side.
a)
x = 22
b)
x = 2
c)
x = 16
d)
x = 8
6.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 5 in., how wide should the similar photo be?
a)
3 in
b)
3.3 in.
c)
4 in
d)
1 in
7.
A photo is 12 in. wide by 18 in. tall. If the width is scaled down to 9 inches, how tall should the similar photo be?
a)
15 in
b)
0.67
c)
13.5 in
d)
2
8.
All angles in similar figures are congruent.
a)
True
b)
False
9.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
10.
Are the triangles similar?
a)
Yes
b)
No
11.
a)
2
b)
10
c)
12
d)
15
12.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
13.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
14.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
15.
Square A is a Dilation of Square B. What is the scale factor of the squares?
a)
1/7
b)
4/5
c)
5/4
d)
7
16.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
17.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 63 in., what is the length of the banner?
a)
84 in
b)
71 in
c)
47.25 in
d)
80
18.
For the pair of similar figures, find the length of each side marked with a variable.
a)
x = 7.2 cm; y = 13.4 cm
b)
x = 12cm; y = 15 cm
c)
x = 12.5 cm; y = 9.6 cm
d)
x = 15 cm; y = 12 cm
19.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
20.
Complete the congruence statement:
a)
CDE
b)
ECD
c)
DCE
d)
CED
21.
Find the measure of the indicated angle.
a)
95
b)
85
c)
35
d)
45
22.
Find the measure of the indicated angle.
a)
26
b)
36
c)
85
d)
144
23.
Find the measure of the indicated angle.
a)
89
b)
211
c)
119
d)
81
24.
Name the corresponding angle to angle 3.
a)
Angle 5
b)
Angle 1
c)
Angle 4
d)
Angle 2
25.
What is the relationship between angle 1 and angle 5?
a)
They are just friends. :)
b)
Alternating interior angles
c)
Alternating exterior angles
d)
Corresponding angles
26.
Name an interior angle that is supplementary to angle 7.
a)
Angle 8
b)
Angle 1
c)
Angle 2
d)
Angle 3
27.
Find the measure of angle N if the measure of angle R is 146*.
a)
146*
b)
34*
c)
90*
d)
136*
28.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
29.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
30.
Name an exterior angle that is supplementary to angle 5.
a)
Angle 8
b)
Angle 6
c)
Angle 1
d)
Angle 4
31.
Find the measure of angle QRN when the measure of angle MNR is 52*.
a)
38*
b)
128*
c)
180*
d)
138*
32.
Find the measure of angle N if the measure of angle R is 146*.
a)
146*
b)
34*
c)
90*
d)
136*
33.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
34.
Angle 1 = 27o
Find the measure of angle 4
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
35.
Find x.
a)
130
b)
50
36.
Find x.
a)
80
b)
100
37.
Find y.
a)
130
b)
50
38.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
39.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
40.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
41.
What is the supplement angle to 45°?
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TOO!
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TOO!
a)
45°
b)
180°
c)
135°
d)
100°
42.
What is the complement angle to 30°?
a)
60°
b)
30°
c)
150°
d)
230˚
43.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
44.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
45.
What is a straight angle?
a)
An angle that measures more than 90 degrees.
b)
An angle that measures less than 90 degrees.
c)
An angle that measures exactly 90 degrees.
d)
An angle that measures exactly 180 degrees.
46.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
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