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Worksheets

Similarity and Transformations

Total questions: 155

Worksheet time: 5hrs 45mins

Name
Class
Date
1.

Consider the figure, segment MN is parallel to segment RP.

a)

⅔

b)

¾

c)

4/3

d)

3/2

2.

Which can be used to show that the sum of the interior angles of the triangle is 180°.

a)
b)
c)
d)
3.

Which sequence of transformations maps triangle 2 onto triangle 1?

a)

a reflections across the x-axis, a reflection across the y-axis, and a translation left 1

b)

a reflections across the x-axis, a reflection across the y-axis, and a translation right 1

c)

a 180° clockwise rotation and a translation down 1 and left 1

d)

a 180° clockwise rotation and a translation left 1 and up 1

4.

Rectangle 1 is rotated 90° counterclockwise about the origin and then translated left 3 units to form rectangle 2. Which graph represents this scenario?

a)
b)
c)
d)
5.

Katherine drew two similar rectangles. What is the area of the larger rectangle?

a)

1.82 cm2

b)

3.38 cm2

c)

3.64 cm2

d)

4.83 cm2

6.
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.
7.

Using a proportion, find the height of the tree.

a)

x = 0.0625 ft.

b)

36 ft.

c)

16 ft.

8.
Are these figures similar?
a)
yes
b)
no
9.
Are these figures similar?
a)
yes
b)
no
10.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
11.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
12.

Hugh drew similar triangles. What is the value of x in Hugh's drawing?

a)

0.7

b)

0.9

c)

1.2

d)

2.9

13.

Triangle FGH is rotated and then dilated by a scale factor of n to form triangle F'G'H'. If ⊿FGH ∼ ⊿F'G'H', what is the value of n?

a)

n = ¼

b)

n = ⅓

c)

n. = 3

d)

n = 4

14.

In the figure, triangle JKL is dilated about the origin to create triangle NPQ What is the scale factor of the dilation?

a)

¼

b)

½

c)

2

d)

4

15.

Holly claims the two triangles on the coordinate plane are similar. Which is a valid argument to support Holly's claim?

a)

One triangle can be mapped onto the other by a rotation of 180° about the origin.

b)

One triangle can be mapped onto the other by translation 8 units right and 4 units down.

c)

One triangle can be mapped onto the other by a reflection across the y-axis, followed by a rotation of 90° counterclockwise about the origin.

d)

One triangle can be mapped onto the other by a reflection across the x-axis, followed by a translation 10 units right.

16.

a)

35°

b)

55°

c)

59°

d)

66°

17.

a)
b)
c)
d)
18.

a)

a triangle with angle measures 40° and 65°

b)

a triangle with angle measures 45° and 65°

c)

a triangle with angle measures 45° and 135°

d)

a triangle with angle measures 70° and 135°

19.

a)

Yes. The triangles are similar by the SAS postulate

b)

Yes. The triangles are similar by the AA postulate.

c)

No. The triangles are not similar because they have only one equal angle.

d)

No. The triangles are not similar because they have no similar side lengths.

20.

Two angles in a triangle measure 25° and 67°. If a second triangle is similar to the first triangle, what is the measure of the largest angle of the second triangle.

a)

155°

b)

113°

c)

92°

d)

88°

21.

Two angles in a triangle are 50° and 45°. If a second triangle is similar to the first triangle, what is the measure of the largest angle of the second triangle?

a)

45°

b)

50°

c)

85°

d)

180°

22.

a)

m + n + s = 180

b)

m + n = q + r

c)

n = q + s

d)

n = 180° - q - s

23.
a)

a 270° counterclockwise rotation about the origin

b)

a 270° clockwise rotation about the origin

c)

a reflection across the x-axis followed by a 180° rotation about the origin

d)

a reflection across the y-axis followed by a 180° rotation about the origin

24.

True or False.

Triangle 1 is the result of translating Triangle 3 left 6 and up 2.

a)

True

b)

False

25.

True or False.

Triangle 2 is the result of dilating Triangle3 by a scale factor of 2 only.

a)

True

b)

False

26.

True or False.

Triangle 4 is the result of rotating Triangle 5 by 90° counterclockwise about the origin.

a)

True

b)

False

27.

True or False.

Triangle 5 is the result of translating Triangle 1 right 6 and down 6.

a)

True

b)

False

28.
a)

(-4, ½)

b)

(-4, 2)

c)

(0, ½)

d)

(0, 2)

29.

a)

a translation left 5 and down 4

b)

a translation left 10 and down 9

c)

a translation right 5 and up 4

d)

a translation right 10 and up 9

30.

A figure that undergoes a transformation where no point ever maps to itself. Which transformation must this be?

a)

translation

b)

rotation

c)

reflection

d)

dilation

31.

For which shape will a rotation of 90° result in an image that is indistinguishable with respect to orientation.

a)
b)
c)
d)
32.

Which transformation will carry the trapezoid onto itself?

a)

a reflection across the y-axis

b)

a reflection across the x-axis

c)

a rotation of 180° about the origin

d)

a translation of 2 units up

33.

a)

A reflection across the line passing through point Q and point S

b)

a reflection across the line RQ

c)

a rotation 90° clockwise about point Q

d)

a rotation 180° clockwise about the point R

e)

a rotation 360° clockwise about the point T

34.

Which statement is true?

a)

If line segment UV is translated 5 units right, the new line segment lies on the same line as the line segment UV.

b)

If line segment UV is translated 4 units down, the new line segment is parallel to the line segment UV.

c)

If line segment UV is rotated 270° clockwise about the origin, the new line segment is parallel to line segment UV.

d)

If line segment UV is rotated 180° clockwise about the origin, the new line segment is perpendicular to line segment UV.

35.

How many degrees does the wheel need to rotate about its axle so that the image of the wheel is indistinguishable from the original figure?

a)

15°

b)

30°

c)

45°

d)

65°

36.

Which figure has the greatest order of rotational symmetry?

a)
b)
c)
d)
37.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
8
38.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
39.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
40.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
41.
What is the order and angle of rotation of the flag?
a)
Order 2, 180 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 1, 360 degrees
42.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 6, 254 Degrees
43.

2. How many lines of symmetry does the picture have?

a)

1

b)

2

c)

4

d)

0

44.
How many lines of Symmetry does this hexagon have?
a)
3
b)
6
c)
9
d)
12
45.

Translate the blue shape to the pink shape...

a)

5 Right

2 Down

b)

5 Left

2 Up

c)

3 Right

1 Down

d)

3 Left

1 Up

46.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
47.
How was B translated to B' if B' is at (4, -2)?
a)
Translated 6 units down
b)
Translated 2 units to the left and 6 units down
c)
Translated 2 units to the right and 6 units down
d)
Translated 2 units to the right
48.
Triangle ABC is going to be translated. Where would  A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
49.

Work out the size of the missing angle

a)

55

b)

90

c)

125

d)

305

50.

Work out the size of the missing angle

a)

22

b)

202

c)

20

d)

158

51.
Are the triangles similar?
a)
Yes
b)
No
52.
Are the triangles similar?
a)
Yes
b)
No
53.
Which triangles are similar to triangle A?
a)
B
b)
C
c)
Both
d)
None
54.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
55.
Solve for x.
a)
3
-----
10
b)
10
-----
3
c)
44x+24
-----------
(2x+4)(4)
d)
30
------
3.1
56.

Select all the possible names for this plane.

a)

plane CDAB

b)

plane CDB

c)

plane ADC

d)

plane TCB

57.

Which of these groups of points is noncollinear? (select all that apply)

a)

Q, P, V

b)

S, P, T

c)

T, V, R

d)

P, R, Q

58.

Line p is parallel to line q

Lines r and s are not parallel.

What is the relationship between <3 & <10

a)

Alternate Exterior

b)

Alternate Interior

c)

Consecutive Interior

d)

Corresponding

59.
Lines r and s are cut by a transversal. What value of x proves r ∥ s?
a)
43
b)
37
c)
143
d)
37
60.

Which angles are vertical angles?

a)

∠8 & ∠7\angle8\ \&\ \angle7

b)

∠8 & ∠6\angle8\ \&\ \angle6

c)

∠8 & ∠5\angle8\ \&\ \angle5

61.

Which angle is complementary to ∠LJM\angle LJM  

a)

∠MJN\angle MJN  

b)

∠NJP\angle NJP  

c)

∠FGE\angle FGE  

d)

∠LJK\angle LJK  

62.
3. Find X
a)
59
b)
31
c)
177
63.

What type of angles are these? (select 2)

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

64.
1. Find X 
a)
28
b)
5
c)
55
d)
40
65.
Angles 1 and 3 are what angle pair?
a)
Complementary
b)
Supplementary
c)
Adjacent
d)
Vertical
66.
Which transformation(s) create(s) congruent figures?
a)
Dilation
b)
Translation, Reflection, Rotation
c)
Dilation and Translation
d)
Dilation and Reflection
67.
Which transformation(s) create(s) similar figures?
a)
Dilation
b)
Translation, Reflection, and Rotation
c)
Translation and Reflection
d)
Reflection and Rotation
68.
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
69.
When talking about figures on a coordinate plane, what does "similar" mean?
a)
Same shape, side lengths are proportional and angle measure are the same
b)
Same shape, side length are different and angles are different
c)
Different shape, different sizes
d)
Shapes sort of the same, but sides and angles are different
70.
Fill in the blank: A dilation creates ___________ figures.
a)
Congruent
b)
Similar
71.
Fill in the blank: Translations create __________ figures.
a)
Similar
b)
Congruent
72.
Fill in the blank: Reflections create __________ figures.
a)
Similar
b)
Congruent
73.
Fill in the blank: Rotations create __________ figures.
a)
Similar
b)
Congruent
74.
The side length of a square on a coordinate plane is 5 units.  If the square undergoes a rotation 90 degrees clockwise, what will be the side length of the image of the square?
a)
1 unit
b)
5 units
c)
10 units
d)
20 units
75.
An equilateral triangle has 3 equal sides and 3 equal angles. If an equilateral triangle was reflected over the y-axis, what will be the measure of each angle of the image?
a)
60 degrees
b)
90 degrees
c)
120 degrees
d)
180 degrees
76.
Line segment AB is reflected across the y-axis to form segment CD. Then, segment CD is rotated 180 degrees clockwise to form segment EF. Which statement is TRUE about this transformation?
a)
Line segment EF is the same length as line segment AB.
b)
Line segment EF is longer than line segment CD.
c)
Line segment EF is shorter than line segment AB.
d)
Line segment CD is shorter than line segment AB.
77.
Suppose two lines are parallel to each other and are also parallel to the y-axis on the coordinate plane. The two lines are both rotated 270 degrees around the origin. Which statement is true about both lines after the rotation?
a)
They will still be parallel to each other.
b)
They will be perpendicular to each other.
c)
They will still be parallel to the y-axis.
d)
The lines will no longer be parallel to each other.
78.
Suppose a rectangle undergoes a reflection across the x-axis and a translation 5 units down. Which of the statements is true?
a)
The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
b)
The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.
c)
The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.
d)
The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.
79.
One side of a triangle on the coordinate plane is 4 units long. If it undergoes a dilation about the origin with a scale factor of 2, what will the length be?
a)
2
b)
4
c)
8
d)
16
80.
Suppose a triangle with the vertices A(–2, 4), B(–1, –3), and C(4, –2) were dilated, with the center of dilation at the origin and with a scale factor of 2. What will be the coordinates of C'?
a)
(2, -1)
b)
(8, -4)
c)
(8, 4)
d)
(2, 1)
81.
Suppose a triangle with the vertices A(–2, 4), B(–1, –3), and C(4, –2) were dilated, with the center of dilation at the origin and with a scale factor of 2. What will be the coordinates of A'?
a)
(-1, 2)
b)
(-4, 8)
c)
(-4, -8)
d)
(2, -1)
82.
The yellow square is located in which quadrant?
a)
I (one)
b)
II (two)
c)
III (three)
d)
IV (four)
83.
The green circle is located in which quadrant?
a)
I (one)
b)
II (two)
c)
III (three)
d)
IV (four)
84.
Which of the statements is true about the graphed triangles?
a)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
b)
They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
c)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
d)
They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
85.
A pentagon graphed on a coordinate plane underwent a rotation about the origin, a reflection across the y–axis, a translation down, and a dilation with a scale factor of 3 from its center to produce another pentagon. Which of these statements is true about the original pentagon and the new pentagon?
a)
They are similar.
b)
They may or may not be similar, depending on the number of units translated.
c)
They may or may not be similar, depending on the number of degrees rotated.
d)
They are not similar.
86.

If two figures are congruent, then their corresponding angles are also congruent.

a)

True

b)

False

87.

Which of the following transformations will result in an image that is not congruent to the original figure?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

88.

If two figures are similar, their corresponding angles are congruent.

a)

True

b)

False

89.

If two figures are similar, their corresponding sides are congruent.

a)

True

b)

False

90.

When a figure is dilated, we use a scale factor k. If the resulting image is larger than the original, then...

a)

k > 1

b)

k < 1

c)

k = 1

d)

k < 0

91.

When a figure is dilated, we use a scale factor k. If the resulting image is smaller than the original, then...

a)

k > 1

b)

k < 1

c)

k = 1

d)

k < 0

92.

What is your favorite transformation?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

93.

Which transformation should you study the most tonight?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

94.

What is your LEAST favorite transformation?

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

95.
Which of the following is the definition of a DILATION?
a)
 A transformation that can change the size of a polygon but leaves the shape unchanged.
b)
 A change in the shape of a polygon but leaves the size unchanged.
c)
A transformation that changess the size of a shape.
96.

Which of the following are similarity transformations? Choose all that apply.

a)

Translation

b)

Dilation

c)

Rotation

d)

Stretch

e)

Reflection

97.

What makes isometric transformations different than similarity transformations?

a)

Isometric transformations have the same shape AND size, similarity transformations just have the same shape.

b)

Isometric transformations are cooler

c)

Isometric transformations have the same shape AND size, similarity transformations just have the same size.

d)

They are the same, no differences.

98.

Why are isometric transformations a part of the similarity transformations?

a)

Isometric transformations maintain SIZE, and similarity transformations maintain size too.

b)

Isometric transformations maintain SHAPE, and similarity transformations maintain shape too.

99.

All similarity transformations are isometric transformations.

a)

True

b)

False

100.

A rotation is a similarity transformation.

a)

True

b)

False

101.

All transformations are isometric.

a)

True

b)

False

102.

A dilation is a non-isometric transformation.

a)

True

b)

False

103.

A stretch is not a similarity transformation.

a)

True

b)

False

104.

Given that ΔAFG ~ ΔDRH, complete the following:

a)

∠A

b)

∠F

c)

∠G

d)

AF

105.

Given that ΔAFG ~ ΔDRH, complete the following:

a)

AF

b)

AG

c)

FG

d)

FH

106.

Given that ΔAFG ~ ΔDRH, complete the following:

a)

∠A

b)

∠F

c)

∠G

d)

FH

107.

Given that ΔAFG ~ ΔDRH, complete the following:

a)

AF

b)

AG

c)

FG

d)

FH

108.

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is correct.

a)

∠C ≅ ∠M

b)

∠T ≅ ∠E

c)

∠Y ≅ ∠B

d)

∠A ≅ ∠M

e)

∠C ≅ ∠R

109.

Pentagon ABCDE is similar to Pentagon RYMNT. Which of the following is/are correct (choose all that apply).

a)

NT/DE = RT/AE

b)

AB/RY = NM/DC

c)

AB/RY = ED/MT

d)

AB/BC=RY/YM

110.

∆ABC is similar to another triangle. The picture provides the similarity statement. ∆ABC∼ ______

a)

ΔDRT

b)

ΔDTR

c)

ΔTRD

d)

ΔTDR

e)

ΔRTD

111.

The two figures in each question are similar. Which of the following is true? Pentagon GYKMR ∼ ________

a)

Pentagon EABCD

b)

Pentagon ARMKY

c)

Pentagon AEDCB

d)

Pentagon BACDE

112.

Quad OBCD is similar to Quad OHTE because:

a)

Quad OBCD can be reflected over the x axis and then rotated 90 degrees

b)

Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

c)

Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

d)

Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.

113.

ΔOBC is similar to ΔOGT because: (choose the best answer)

a)

ΔOBC can be dilated about point O by a scale factor of 1/2, and then rotated 90 degrees about point O.

b)

ΔOBC can be dilated about point G by a scale factor of 1/2, and then reflected over the x- axis

c)

They aren't similar

d)

They map to each other with similarity transformations.

114.

The two figures in each question are similar. Which of the following is true? ΔJMT ∼ ________

a)

ΔABC

b)

ΔACB

c)

ΔBCA

d)

ΔBAC

e)

ΔCAB

115.

The two figures in each question are similar. Which of the following is true? ΔBAC ∼ ________

a)

ΔJHT

b)

ΔJTH

c)

ΔHJT

d)

ΔTHJ

e)

ΔTJH

116.

Which transformation results in a figure that is similar to the original figure but has a greater area?

a)

A dilation of triangle QRS by a scale factor of 0.25

b)

A dilation of triangle QRS by a scale factor of 0.5

c)

A dilation of triangle QRS by a scale factor of 1

d)

A dilation of triangle QRS by a scale factor of 2

117.

In the coordinate plane, segment PQ is the result of a dilation of segment XY by a scale factor of 1/2. Which point is the center of dilation?

a)

(-4, 0)

b)

(0, -4)

c)

(0, 4)

d)

(4, 0)

118.

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation center at the origin?

a)

4

b)

2

c)

1

d)

1/2

119.

Look at quadrilateral QRST. What is the image of point R after a counterclockwise rotation of 270 degrees about the origin?

a)

(6, -3)

b)

(-3, 6)

c)

(-6, 3)

d)

(3, -6)

120.

Which figure represents the dilation of GH about the origin by a scale factor of 2?

a)
b)
c)
d)
121.

Which transformation of HIJ does NOT result in a congruent triangle?

a)

a reflection across the x axis, followed by a rotation of 180° about the origin

b)

a rotation by 180° about the origin, followed by a translation of 2 units left & 3 down

c)

a translation of 1 unit right and 2 units up, followed by a dilation by a factor of 3

d)

a dilation by a factor of 2, followed by a dilation by a factor of ½

122.

In the triangles shown, ∆ABC is dilated by a factor of 2/3 to form ∆XYZ. Given that m<A=50° and m<B=100°, what is m<Z?

a)

15 degrees

b)

25 degrees

c)

30 degrees

d)

50 degrees

123.
a)

2.0

b)

4.5

c)

7.5

d)

8.0

124.

This is a proof of the statement “If a line is parallel to one side of a triangle and intersects the other two sides at distinct points, then it separates these sides into segments of proportional lengths." Which reason justifies Step 2?

a)

Alternate interior angles are congruent

b)

Alternate exterior angles are congruent

c)

Corresponding angles are congruent

d)

Vertical angles are congruent

125.

Parallelogram FGHJ was translated 3 units down to form parallelogram F’G’H’J’. Parallelogram F’G’H’J’ was then rotated 90° counterclockwise about point G’ to obtain F’’G’’H’’J’’. Which statement is true about parallelogram FGHJ and parallelogram F”G”H”J”?

a)

The figures are both similar and congruent.

b)

The figures are neither similar nor congruent.

c)

The figures are similar but not congruent.

d)

The figures are congruent but not similar.

126.

Consider the triangles shown. Which can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

SAS

d)

AAS

127.

In this diagram, DE is congruent to JI and angle D is congruent to angle J. Which additional information is sufficient to prove that ∆DEF is congruent to ∆JIH?

a)
b)
c)
d)
128.

In this diagram, CD is the perpendicular bisector of AB. The two-column proof shows that AC is congruent to BC. Which theorem would justify step 6?

a)

AAS

b)

ASA

c)

SAS

d)

SSS

129.

In this figure, LN is perpendicular to KM. What additional information would a student need to prove ∆KLN~∆MLN?

a)
b)
c)
d)
130.

In this diagram, STU is an isosceles triangle where ST is congruent to UT. The paragraph proof shows that angle S is congruent to U. Which step is missing in the proof?

a)

CPCTC

b)

Reflexive Property

c)

Definition of right angles

d)

Angle Congruence Postulate

131.

The following is a proof of the Pythagorean Theorem. Which reason justifies step 2?

a)

Triangle proportionality theorem.

b)

Corresponding sides of similar triangles are proportional.

c)

Corresponding sides of similar triangles are congruent.

d)

Triangle mid-segment theorem.

132.
a)

Alternate interior angles are congurent

b)

Corresponding angles are congruent

c)

Vertical angles are congruent

d)

Alternate exterior angles are congruent

133.

Which information is needed to show that a parallelogram is a rectangle?

a)

The diagonals bisect each other.

b)

The diagonals are congruent.

c)

The diagonals are congruent and perpendicular.

d)

The diagonals bisect each other and are perpendicular.

134.

What prove that figure ABCD is a parallelogram?

a)

BD bisects angle ABC.

b)

AB is congruent to AC

c)

BD and AC bisect each other

d)

BD is greater than AC.

135.

This figure shows quadrilateral JKLM. What information will NOT be used to prove that JKLM is a parallelogram?

a)

Show that angle JLM is congruent to angle LJK

b)

Show that JK is congruent to LM

c)

Show that ∆JKL is congruent to ∆LMJ

d)

Show that ∆JKL is congruent to ∆JLM

136.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
137.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
138.

Which of the following is the algebraic representation for a dilation?

a)

(x, y) → (-x,-y)

b)

(x, y) → (3x,3y)

c)

(x, y) → (x+2,y-3)

d)

(x, y) → (y,x)

139.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
140.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
141.
What is the rule for the dilation pictured below?
a)
(x, y) → (½x, ½y)
b)
(x, y) → (x + 2, y + 2)
c)
(x, y) → (2x , 2y)
d)
(x, y) → (2x, 3y)
142.

Under what composition of transformations does triangle ABC map onto triangle A''B''C''

a)

Reflection over x-axis, then Rotation of 90 Degrees

b)

Rotation of -90 Degrees, then Reflection over y-axis

c)

Reflection over y-axis, then Rotation of -90 Degrees

d)

Rotation of 90 Degrees, then Reflection over x-axis

143.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

144.

What is the transformation from Triangle ABC to Triangle A''B''C''?

a)

Reflection x-axis, then rotation of 180 Degrees

b)

Reflection over y-axis, then rotation of 90 Degrees

c)

Rotation of 90 Degrees, then reflection over x-axis

d)

Rotation of 180 Degrees, then reflection over y-axis

145.

What is the sequence of transformations?

a)

Reflect over the y-axis then reflect over the x-axis

b)

Reflect over the x-axis then reflect over the y-axis

c)

Translate 4 units then rotate 90˚

d)

Rotate 90˚ then reflect over the x-axis

146.

A transformation in which a second transformation is performed on an image of a first transformation is called

a)

Composition of transformations

b)

Congruence

c)

Consecutive steps

d)

Similarity

147.
Describe the transformations that map ABC onto A"B"C"
a)
translate 5 up and 1 left then reflect over y
b)
translate 5 down and 1 left, then reflect over y
c)
reflect over y=x then translate left 8
d)
reflect over x then rotate 90 clockwise
148.
Name the series of transformations that maps ABC onto DEF
a)
reflect over x then translate left 6 up 1
b)
reflect over y then translate down 6 left 1
c)
translate right 6 down 1, then reflect over x
d)
rotate 90 clockwise then reflect over y
149.

What is the ordered pair for the final location of P( 2, 3) after this series of transformations? (x,y)→(x+2, y−4)\left(x,y\right)\rightarrow\left(x+2,\ y-4\right)  then reflected over the  y−axis?y-axis?  

a)

P′′(−4, 1)P''\left(-4,\ 1\right)  

b)

P′′(−4, −1)P''\left(-4,\ -1\right)  

c)

P′′(1, −4)P''\left(1,\ -4\right)  

d)

P′′(−1, −4)P''\left(-1,\ -4\right)  

150.

What is the ordered pair for the final location of P( -7, 3) after this series of transformations? (x,y)→(x, y+3)\left(x,y\right)\rightarrow\left(x,\ y+3\right)  then rotated  90°90\degree  clockwise about the origin.

a)

P′′(−7, 6)P''\left(-7,\ 6\right)  

b)

P′′(−7, −6)P''\left(-7,\ -6\right)  

c)

P′′(6, −7)P''\left(6,\ -7\right)  

d)

P′′(6, 7)P''\left(6,\ 7\right)  

151.

Only ________________________ is a non rigid transformation.

a)

Rotation

b)

Dilation

c)

Reflection

d)

Translation

152.

The image of a rigid transformation will be ______________________ to its preimage.

a)

Congruent

b)

Similar

c)

Corresponding

d)

Adjacent

153.
Determine how to translate triangle ABC to triangle A'B'C'. 
a)
right 2, down 5
b)
right 2, down 9
c)
left 2, up 9
d)
left 2, down 9
154.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
155.
If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?
a)
(4,0)
b)
(0,4)
c)
(-1,5)
d)
(5,-1)

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