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WorksheetsTriangle Congruence and Similarity Review
Total questions: 41
Worksheet time: 2hrs 45mins
Name
Class
Date
1.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
2.
a)
SAS
b)
SSS
c)
AA
d)
not enough information to prove similarity
3.
What postulate supports these triangles to be congruent?
a)
HL
b)
SSA
c)
SAS
d)
ASA
4.
What is x?
a)
4
b)
5
c)
3
d)
6
5.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar.
6.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
7.
How is triangle ACB congruent to ECB, if it is.
a)
It is not congruent
b)
SSS
c)
SAS
d)
ASA
8.
Which set of triangles may not be congruent
a)
A
b)
B
c)
C
d)
D
9.
Which pair of triangles is not AAS?
a)
1
b)
2
c)
3
d)
4
10.
Fill in the postulate that fits the last space.
a)
AAS postulate
b)
SAS postulate
c)
SSS postulate
d)
HL postulate
11.
Prove the given postulate with what additional information?
a)
GH≅SR
b)
FG≅RT
c)
FH≅ST
d)
GH≅ST
12.
Prove the given postulate with what additional information?
a)
∡Q≅∡C
b)
∡A≅∡S
c)
∡Q≅∡A
d)
∡S≅∡R
13.
Prove the given Postulate true with what additional information?
a)
∡KIJ≅∡YJI
b)
∡K≅∡Y
c)
∡KJI≅∡IJY
d)
∡K≅∡I
14.
a)
1
b)
2
c)
3
d)
4
15.
a)
1
b)
2
c)
3
d)
4
16.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
17.
How many degrees do supplementary angles add up to?
a)
90
b)
100
c)
180
d)
50
18.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
19.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
20.
The Sum of 2 Sides Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.
a)
greater than
b)
less than
c)
equal to
21.
Write the triangle congruence, if any, to show the triangles are congruent.
a)
ASA
b)
AAS
c)
SAS
d)
SSS
22.
Write the triangle congruence, if any, to show the triangles are congruent.
a)
ASA
b)
AAS
c)
SAS
d)
none
23.
Write the triangle congruence, if any, to show the triangles are congruent.
a)
ASA
b)
AAS
c)
SAS
d)
none
24.
Find the measure of the indicated angle.
a)
180
b)
70
c)
54
d)
56
25.
Find the measure of the indicated angle.
a)
40
b)
108
c)
72
d)
68
26.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
27.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
28.
Which of the following pairs of angles are corresponding angles?
a)
Angle z and Angle x
b)
Angle w and Angle t
c)
Angle t and Angle x
29.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
30.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
31.
The supplement of an angle is 65 °. What is the measure of the angle?
a)
25°
b)
15°
c)
115°
d)
35°
32.
What does the word congruent mean?
a)
Figures or angles that are similar to one another.
b)
Figures or angles that are exactly the same size and shape.
c)
A figure or angle that is equal in size to another figure or angle.
d)
A figure or angle that is equal in shape to another figure or angle.
33.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
34.
Tell whether the two figures are similar. Explain your reasoning.
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
35.
In the figure below, the three lines are parallel and cut by transversal, t. Which is a pair of corresponding angles?
a)
2 and 10
b)
2 and 6
c)
6 and 7
d)
1 and 10
36.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
37.
a)
x=41
b)
x=18
c)
x=125
d)
x=15
38.
a)
x=105
b)
x=53
c)
x=64
d)
x=28
39.
a)
x=29
b)
x=61
c)
x=14
d)
x=20
40.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
41.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
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