AnswersAZ-Common Core Geometry AIntroduction to Transformations

Introduction to Transformations Answers

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1
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Which transformations are rigid transformations? Check all that apply.dilationreflectionrotationstretchtranslation

A
dilation
B
reflection
C
rotation
D
stretch
E
translation
2
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Y'X'W'Y'Z'W'✔ Z'W'X'Z'Y'X'

A
Y'X'W'
B
Y'Z'W'
C
Z'W'X'
D
Z'Y'X'
3

greater than✔ equal toless than

A
greater than
B
equal to
C
less than
4

What type of transformation maps ΔQRS to ΔQ'R'S'?

A
dilation
B
reflection
C
rotation
D
translation
5

Which statement is true about the transformation?

A
It is isometric because not all side lengths and angle measures remained the same.
B
It is isometric because all side lengths and angle measures remained the same.
C
It is not isometric because not all side lengths and angle measures remained the same.
D
It is not isometric because all side lengths and angle measures remained the same.
6

✔ W'X'Y'Z'

A
W'
B
X'
C
Y'
D
Z'
7

Which transformation is shown in the figure?

A
ΔABC was dilated to form ΔA'B'C'. The transformation is not isometric.
B
ΔABC was reflected to form ΔA'B'C'. The transformation is isometric.
C
ΔABC was rotated to form ΔA'B'C'. The transformation is isometric.
D
ΔABC was translated to form ΔA'B'C'. The transformation is not isometric.
8

Which transformation shows a reflection of ΔDEF?

A
[Image: 2 triangles have identical side lengths and angle ...]
B
[Image: 3 triangles have identical side lengths and angle ...]
C
[Image: 2 triangles have identical side lengths and angle ...]
9

Which type of transformation maps trapezoid PQRS onto trapezoid P'Q'R'S'?

A
reflection
B
rotation
C
translation
D
dilation
10

Which statements are true regarding the transformation? Check all that apply.

A
EF corresponds to E'F'.
B
FG corresponds to G'D'.
C
∠EDG ∠E'D'G'
Option C
D
∠DEF ∠D'E'F'
Option D
E
The transformation is not isometric.
F
The transformation is a rigid transformation.
11

dilation, a type of nonrigid✔ reflection, a type of rigidrotation, a type of rigidtranslation, a type of rigid

A
dilation, a type of nonrigid
B
reflection, a type of rigid
C
rotation, a type of rigid
D
translation, a type of rigid
12

All side lengths of ΔJKL equal 2 units. A transformation maps ΔJKL to ΔJ'K'L'. The length of side J'K' is 5 units. Is this a rigid transformation?

A
No, there is no one-to-one mapping of all the points of the pre-image to the image.
B
No, at least one segment length is not preserved, making this a nonrigid transformation.
C
Yes, the vertices of the pre-image map to the vertices of the image.
D
Yes, all of the side lengths of the pre-image are proportionate to the image.
13

A rigid transformation can also be referred to as an isometric transformation. The prefix "iso-" means "of the same" and "-metric" means "measure." How does the meaning of the word isometric relate to determining if an isometric transformation occurred?

Answer:

An isometric transformation creates an image that is congruent to the preimage. All corresponding line segments and angle measures are equal.

14

greater than✔ equal toless than

A
greater than
B
equal to
C
less than
15

What did you include in your response? Check all that apply.

A
An isometric transformation preserves size.
B
Corresponding line segments of an image and a pre-image have equal measure.
C
Corresponding angles of an image and a pre-image have equal measure.
D
The image and pre-image are congruent.

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