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Topic 12 Assessment Review

Total questions: 128

Worksheet time: 6hrs 30mins

Name
Class
Date
1.

Select ALL the true statements about an image after a dilation.

a)

The image is a different shape than the preimage.

b)

The image is a different size than the preimage.

c)

The image has the same angle measures as the preimage.

d)

The image is similar to the preimage.

e)

The image has the same side lengths as the preimage.

2.

Triangle PQR is the image of triangle JKL after a dilation. Is the dilation an enlargement or a reduction? Explain.

a)

Enlargement, because the image is larger than the original figure.

b)

Enlargement, because the image is smaller than the original figure.

c)

Reduction, because the image is smaller than the original figure.

d)

Reduction, because the image is larger than the original figure.

3.

Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?

a)

QRS and TVW

b)

QRS and XYZ

c)

TVW and JKL

d)

TVW and XYZ

4.

Are ABC and DEF similar?

a)

Yes

b)

No

5.

Are ABC and LMN similar?

a)

Yes

b)

No

6.

Are LMN and DEF similar?

a)

Yes

b)

No

7.

Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?

(a)  

8.

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

a)

A dilation with scale factor 1

b)

A dilation with scale factor 2

c)

A dilation with scale factor 3

d)

A dilation with scale factor 4

9.

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

a)

Reflection across the line x=1

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

Reflection across the line y=1

10.

Find the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3. What is the ordered pair for A'?

a)

(1, 1)

b)

(3, 3)

c)

(5, 5)

d)

(6, 6)

11.

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

a)

Reflection then rotation

b)

Rotation then dilation with scale factor of 2

c)

Rotation then dilation with scale factor of 0.5

d)

Rotation then translation

12.

Select ALL the true statements about an image after a dilation.

a)

The image is a different shape than the preimage.

b)

The image is a different size than the preimage.

c)

The image has the same angle measures as the preimage.

d)

The image is similar to the preimage.

e)

The image has the same side lengths as the preimage.

13.

Triangle PQR is the image of triangle JKL after a dilation. Is the dilation an enlargement or a reduction? Explain.

a)

Enlargement, because the image is larger than the original figure.

b)

Enlargement, because the image is smaller than the original figure.

c)

Reduction, because the image is smaller than the original figure.

d)

Reduction, because the image is larger than the original figure.

14.

Rajesh is making pennants in preparation for a school soccer game. He wants the pennants to be similar triangles. Which of these triangles could he use for the pennants?

a)

QRS and TVW

b)

QRS and XYZ

c)

TVW and JKL

d)

TVW and XYZ

15.

Are ABC and DEF similar?

a)

Yes

b)

No

16.

Are ABC and LMN similar?

a)

Yes

b)

No

17.

Are LMN and DEF similar?

a)

Yes

b)

No

18.

Figure D´E´F´G´ is a dilation with center (0, 0) of figure DEFG. What is the scale factor?

(a)  

19.

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

a)

A dilation with scale factor 1

b)

A dilation with scale factor 2

c)

A dilation with scale factor 3

d)

A dilation with scale factor 4

20.

A sequence of transformations is required to map ΔPQR onto ΔP’Q’R’. Which is a possible step?

a)

Reflection across the line x=1

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

Reflection across the line y=1

21.

Find the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3. What is the ordered pair for A'?

a)

(1, 1)

b)

(3, 3)

c)

(5, 5)

d)

(6, 6)

22.

Triangle DEF is similar to triangle ABC. What is a sequence of transformations that maps triangle ABC to triangle DEF?

a)

Reflection then rotation

b)

Rotation then dilation with scale factor of 2

c)

Rotation then dilation with scale factor of 0.5

d)

Rotation then translation

23.

Under a dilation, which of the following scale factor will result in a congruent image? Select all that apply.

a)
-2
b)
0
c)
1
d)
1/2
e)

-1

24.

A dilation produces a similar figure. If two shapes are similar then: (select all that apply)

a)

corresponding angles are congruent

b)

corresponding angles are proportional

c)

corresponding sides are congruent

d)

corresponding sides are proportional.

25.
What scale factor was used to produce the image?
a)
2
b)
3
c)
1/3
d)
1/2
26.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
27.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
28.

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 proportional.

29.

Which of the following are Dilations? Select all that apply.

a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
e)

(x, y) → (4x, 5y)

30.
Find missing side
a)
5
b)
7
c)
9
d)
11
31.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
32.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
33.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
34.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
35.
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
36.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
37.
a)

7

b)

12

c)

6

d)

4

38.

Under a dilation, which of the following scale factor will result in a congruent image? Select all that apply.

a)
-2
b)
0
c)
1
d)
1/2
e)

-1

39.

A dilation produces a similar figure. If two shapes are similar then: (select all that apply)

a)

corresponding angles are congruent

b)

corresponding angles are proportional

c)

corresponding sides are congruent

d)

corresponding sides are proportional.

40.
What scale factor was used to produce the image?
a)
2
b)
3
c)
1/3
d)
1/2
41.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
42.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
43.

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 proportional.

44.

Which of the following are Dilations? Select all that apply.

a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (.5x, .4y)
e)

(x, y) → (4x, 5y)

45.

Solve the proportion. Type only the value of q. So if the answer is q=5 type 5

4 lines
46.
Find the measure of x:
a)
6
b)
24
c)
33
d)
36
47.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
48.
Find missing side
a)
5
b)
7
c)
9
d)
11
49.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
50.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
51.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
52.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
53.
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
54.
Find x.
a)
54/7
b)
56/3
c)
11
d)
21/2
55.
a)

7

b)

12

c)

6

d)

4

56.

What is Dilation?

a)

Dilation means to enlarge or reduce a shape

b)

Dilation means to flip over a line

c)

Dilation means two figures that look alike

d)

Dilation means to make a shape smaller

57.

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of C'?

a)

(1,-2)

b)

(-6,-15)

c)

(-2/3,-5/3)

d)

(-5,-8)

58.

Are these two figures congruent, similar or neither?

a)

Congruent

b)

Neither

c)

Similar

59.

State the coordinate of the image of point B (-10,-6) after a dilation with a scale factor of 1/2.

a)

(5,3)

b)

(20,12)

c)

(-20,-12)

d)

(-5,-3)

60.

Choose the correct scale factor:

a)

2.5

b)

1.5

c)

3.5

d)

4

61.

If two figures are similar, the corresponding angles are...

a)

Congruent

b)

Supplementary

c)

Proportional

d)

Different

62.
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.
63.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
64.

The two triangles are similar. Solve for X.

a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
65.

Tell whether the two figures are congruent or similar.

a)

Congruent, because their sides are the same.

b)

Congruent, because their sides are proportional.

c)

Similar, because their sides are the same.

d)

Similar, because their sides are proportional.

e)

They are not congruent or similar.

66.

Tell whether the two figures are congruent or similar.

a)

Congruent, because their sides are the same.

b)

Congruent, because their sides are proportional.

c)

Similar, because their sides are the same.

d)

Similar, because their sides are proportional.

e)

They are neither congruent or similar.

67.

A ~ B. What is the scale factor of the dilation of A to B?

a)

43\frac{4}{3}

b)

34\frac{3}{4}

c)

3

d)

4

68.
What is the scale factor from triangle ABC to triangle DEF?
a)
1/2
b)
7/3
c)
2/1
d)
10/3
69.

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

2

d)

3

70.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
71.

Find the slope of the line using slope triangles

a)

A

b)

B

c)

C

d)

D

72.

Find the slope of the line using slope triangles

a)

A

b)

B

c)

C

d)

D

73.

Find the slope of the line using slope triangles

a)

A

b)

B

c)

C

d)

D

74.

Find the slope of the line using slope triangles

a)

A

b)

B

c)

C

d)

D

75.

Find the slope of the line using slope triangles

a)

A

b)

B

c)

C

d)

D

76.
All angles in similar figures are congruent.  
a)
True
b)
False
77.
Are these triangles similar?
a)
Yes
b)
No
78.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
79.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
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
80.
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.
81.

A dilation produces a similar figure

a)

True

b)

False

82.

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

a)

True

b)

False

83.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

84.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
85.
Did the image enlarge, reduce or none of the above?
a)
Enlarge
b)
Reduce
c)
None of the above
86.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
87.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
88.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
89.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
90.

What transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

91.
Congruent means...
a)
The same angles.
b)
The same size and same shape.
c)
Equal to.
d)
The same transformation.
92.

What transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

93.

Identify the correct picture which represents a 90o clockwise rotation about the origin.

a)
b)
c)
d)
94.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
95.
All angles in similar figures are congruent.  
a)
True
b)
False
96.
Are these triangles similar?
a)
Yes
b)
No
97.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
98.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
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
99.
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.
100.

A dilation produces a similar figure

a)

True

b)

False

101.

When the scale factor of a dilation is less than one, the dilation is a reduction (gets smaller).

a)

True

b)

False

102.

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

a)

True

b)

False

103.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
104.
Did the image enlarge, reduce or none of the above?
a)
Enlarge
b)
Reduce
c)
None of the above
105.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
106.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
107.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
108.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
109.

What transformation is this?

a)

Translation

b)

Reflection

c)

Rotation

110.
Congruent means...
a)
The same angles.
b)
The same size and same shape.
c)
Equal to.
d)
The same transformation.
111.

What transformation is this?

a)

Reflection

b)

Translation

c)

Rotation

112.

Identify the correct picture which represents a 90o clockwise rotation about the origin.

a)
b)
c)
d)
113.
Identify the transformation from ABC to A'B'C'.
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
90o clockwise rotation
d)
90o counterclockwise rotation
114.

AC‾ ∥ \overline{AC}\ \parallel\ _{ }  ____

a)

LK‾\overline{LK}  

b)

LJ‾\overline{LJ}  

c)

JK‾\overline{JK}  

d)

The segment is not parallel to any other segment in the diagram.  

115.

AB‾ ∥ \overline{AB}\ \parallel\ _{ }  ____

a)

LK‾\overline{LK}  

b)

LJ‾\overline{LJ}  

c)

JK‾\overline{JK}  

d)

The segment is not parallel to any other segment in the diagram.  

116.

BC =BC\ =  ______

a)

4

b)

5

c)

8

d)

10

117.

What is the perimeter of  ΔABC\Delta ABC  ?

a)

13

b)

14

c)

26

d)

Cannot be determined from the information given.  

118.

If AB = 22, what is YZ?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

119.

If XZ = 22, what is BC?

a)

22

b)

11

c)

44

d)

Impossible to determine from the information given.

120.

What is the value of x?

a)

17

b)

34

c)

68

d)

Impossible to determine from the information given.

121.

What is the value of x?

a)

1

b)

2

c)

4

d)

Impossible to determine from the information given.

122.

What is the value of x?

a)

25.5

b)

43

c)

78

d)

Impossible to determine from the information given.

123.

What is the value of x?

a)

3

b)

6

c)

9

d)

Impossible to determine from the information given.

124.

What is the value of x?

a)

-4

b)

10

c)

20

d)

Impossible to determine from the information given.

125.

m∠A = 52om\angle A\ =\ 52^o  , what is  m∠BXY?m\angle BXY?  

a)

52 

b)

128

c)

104

d)

26

126.

Which angle is congruent to ∠CYZ ?\angle CYZ\ ?

a)

∠B\angle B  

b)

∠A\angle A  

c)

∠ZYB\angle ZYB  

d)

∠AXZ\angle AXZ  

127.

m∠XZA =40°, m\angle XZA\ =40\degree,\ what is  m∠C ?m\angle C\ ?  

a)

40 

b)

80

c)

20

d)

140

128.

m∠A=32°,m\angle A=32\degree, what is  m∠AXY ?m\angle AXY\ ?  

a)

32

b)

16

c)

64

d)

148

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