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Topic 6 Transformations Congruency/Similarity

Total questions: 57

Worksheet time: 1hrs 25mins

Name
Class
Date
1.
True or False: congruent figures are the same shape, but a different size. 
a)
true
b)
false
2.
True or False: similar figures are the same shape and size with corresponding sides and angles. 
a)
true
b)
flase
3.
A rotation of a figure produces
a)
a similar figure
b)
a congruent figure
c)
crazy looking figure
4.
Line CB corresponds to...
a)
EF
b)
HE
c)
GF
d)
HG
5.
Line AB corresponds with what line? 
a)
XZ
b)
XY
c)
YZ
d)
YX
6.
Line CB corresponds with what line? 
a)
SR
b)
PQ
c)
SP
d)
RQ
7.
a)
A
b)
C
c)
D
8.
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
9.
Both triangles are congruent, what is the length of BH?
a)
6
b)
8
c)
10
10.
Are these triangles similar?
a)
Yes
b)
No
11.

What does similar mean?

a)

corresponding sides are proportional and corresponding angles are congruent

b)

corresponding sides and angles are congruent

c)

sames shape

d)

neither sides or angles are congruent

12.

What does congruent mean?

a)

corresponding sides and angles are congruent

b)

corresponding sides are proportional and corresponding angles are congruent

c)

sames shape

d)

neither sides or angles are congruent

13.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
14.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
15.
What is this picture an example of? 
a)
An angle
b)
A cat vertex 
c)
Rotation 
16.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
17.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
18.
 Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
19.

∆ABC is rotated -90° to form ∆DEF. Which statement is true?

a)

BC=EF

b)

CA=EF

c)

BA=DF

d)

BC=DE

20.

If LMN is translated such that it maps onto triangle XYZ, which statement is always true?

a)

b)

c)

d)

21.

In the diagram, ∆CAR is mapped onto ∆BUS after a sequence of transformations. Which statements are true? Select 2

a)

CA=BU

b)

m∠ACR=m∠BUS

c)

AR=BU

d)

m∠RAC=m∠SUB

22.

In the diagram, ∆CAR is mapped onto ∆BUS after a sequence of transformations. Which statements are true? Select 2

a)

CA=BU

b)

m∠ACR=m∠BUS

c)

AR=BU

d)

m∠RAC=m∠SUB

23.

If the m∠B=95°, what is the m∠E?

a)

40⁰

b)

45⁰

c)

85⁰

d)

95⁰

24.
a)

Congruent

b)

Similar

25.
a)

Congruent

b)

Similar

26.
a)

Congruent

b)

Similar

27.
a)

Congruent

b)

Similar

28.
a)

Congruent

b)

Similar

29.
a)

Congruent

b)

Similar

30.
a)

Congruent

b)

Similar

31.
a)

Congruent

b)

Similar

32.
a)

Congruent

b)

Similar

33.
a)

Congruent

b)

Similar

34.
a)

Congruent

b)

Similar

35.
Are the triangles similar?
a)
Yes
b)
No
36.
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.
37.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
38.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
39.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
40.
All angles in similar figures are congruent.  
a)
True
b)
False
41.

When you multiply by a scale factor bigger than 1, it will result in ...

a)
a reduction.
b)
the same size.
c)
an enlargement.
d)
a different shape.
42.

Similar figures have the same...

a)

side lengths

b)

angles

c)

both

d)

neither

43.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
44.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
45.

Calculate the value of the scale factor between the 2 triangles

a)

2.5

b)

3

c)

3.5

d)

4

46.
How does a dilation change the angles of a polygon?
a)
It changes by the scale factor.
b)
Dilations do not change the angles.
c)
It is impossible to answer this question.  The angles change unpredictably.
d)
The angles all change to larger angles.
47.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
48.
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
49.
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
50.
What is ratio of any two corresponding sides?
a)
Scale Factor
b)
Corresponding Sides
c)
Similar Figures
51.
The two rectangles are scale drawings. What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
52.
Are the following similar? Why or why not?
a)
Yes, because the corresponding angles are congruent.
b)
No, the numbers are even
c)
No, the sides are 2 times larger, but the width is the same.
53.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
54.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
55.
Does the transformation shown preserve congruence and/or orientation?
a)
Congruence yes, Orientation yes
b)
Congruence No, Orientation No
c)
Congruence No, Orientation yes
d)
Congruence Yes, Orientation No
56.

Which transformation does NOT preserve congruence?

a)

Translation

b)

Dilation

c)

Rotation

d)

Reflection

57.

Which transformation(s) preserve congruency?

(Choose all that apply)

a)

rotations

b)

reflections

c)

translations

d)

dilations

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