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WorksheetsSimilarity and Congruence
Total questions: 45
Worksheet time: 54mins
Name
Class
Date
1.
The triangles are congruent. Which of the following statements must be true?
a)
∠A ≅ ∠D
b)
∠B ≅ ∠E
c)
AB ≅ DE
d)
BC ≅ FD
2.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
3.
The two right triangles below are similar. What is x, the missing side length in triangle DEF?
a)
3.75
b)
9.75
c)
10
d)
12
4.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
5.
Are the two figures similar?
a)
yes
b)
no
6.
When talking about figures on a coordinate plane, what does "congruent" mean?
a)
Same shape, same size
b)
Same shape, size changes
c)
Different shape, different size
d)
Same shape, different size
7.
Which transformation(s) create(s) congruent figures?
a)
Dilation
b)
Translation, Reflection, Rotation
c)
Dilation and Translation
d)
Dilation and Reflection
8.
Which transformation(s) create(s) similar figures?
a)
Dilation
b)
Translation, Reflection, and Rotation
c)
Translation and Reflection
d)
Reflection and Rotation
9.
The pair of figures is similar. Find the missing side.
a)
x = 1
b)
x = 3
c)
x = 9
d)
x = 5
10.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
11.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
12.
Are the following similar? Why or why not?
a)
Yes. All pairs of corresponding angles are congruent.
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
13.
Find missing side
a)
5
b)
7
c)
9
d)
11
14.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
15.
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
16.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
17.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar.
18.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
19.
State the postulate that makes the triangles congruent
a)
SSS
b)
SAS
c)
ASA
d)
HL
20.
State the reason the triangles are congruent, if they are.
a)
HL
b)
ASA
c)
AAS
d)
HL
21.
What postulate supports these triangles to be congruent?
a)
HL
b)
SSA
c)
SAS
d)
ASA
22.
How is triangle ACB congruent to ECB, if it is.
a)
It is not congruent
b)
SSS
c)
SAS
d)
ASA
23.
Which set of triangles may not be congruent
a)
A
b)
B
c)
C
d)
D
24.
Which pair of triangles is not AAS?
a)
1
b)
2
c)
3
d)
4
25.
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
26.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
27.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Correpsonding
d)
Vertical Angles
28.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
29.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
30.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
31.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
32.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
33.
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.
34.
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
35.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
36.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
37.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
38.
Which of the following terms best describes Angle d? (remember that it's outside)
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
39.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
40.
Find the measure of the indicated angle. (remember that the sum of interior angles is equal to 180 degrees)
a)
95
b)
85
c)
35
d)
45
41.
Find the measure of angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
42.
Find the measure of the indicated angle.
a)
145
b)
113
c)
102
d)
78
43.
If 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures...
a)
80
b)
100
c)
60
d)
90
44.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
45.
Angles that are exactly 90 degrees are called _____ ______.
a)
tight angles
b)
acute angles
c)
obtuse angles
d)
right angles
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