AnswersAZ-Common Core Geometry AIntroduction to Transformations

Introduction to Transformations Answers

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2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first.

Question illustration
A
The transformation is a stretch.
B
The transformation is a reflection.
C
The transformation is a rotation.
D
The transformation is a translation.
2
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Triangle 1 undergoes four different transformations. The results of these transformations are shown.

Question illustration
A
Triangle 1 is rotated to result in triangle 2.
B
Triangle 1 is dilated to result in triangle 3.
C
Triangle 1 is reflected to result in triangle 4.
D
Triangle 1 is stretched to result in triangle 5.
3

A transformation of rectangle ABCD results in rectangle A'B'C'D'.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
4

Which describes the transformation? Select three options.

A
It is rigid.
B
It is nonrigid.
C
It is isometric.
D
The size is preserved.
E
The angles are not preserved.
5

A transformation is shown in the diagram.

Question illustration
A
Quadrilateral DEFG is translated to form quadrilateral D'E'F'G'.
B
Quadrilateral DEFG is rotated to form quadrilateral D'E'F'G'.
C
Quadrilateral DEFG is reflected to form quadrilateral D'E'F'G'.
D
Quadrilateral DEFG is dilated to form quadrilateral D'E'F'G'.
6

Triangle STV is transformed to create the image, triangle UTV.

Question illustration
A
Side length U T
Option A
B
Side length V U
Option B
C
Side length T S
Option C
D
Side length T V
Option D
7

A transformation of rectangle LMNO results in rectangle L'M'N'O'.

Question illustration
A
dilation
B
stretch
C
reflection
D
rotation
8

Triangle ABC is transformed to create triangle MNL.

Question illustration
A
The transformation is rigid because corresponding side lengths and angles are congruent.
B
The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent.
C
The transformation is nonrigid because the two triangles have different names.
D
The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.
9

2 quadrilaterals have identical side lengths and angles measures. The second quadrilateral is rotated 90 degrees to the left.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
10

Which describes the transformation? Select three options.

A
It is rigid.
B
It is nonrigid.
C
It is isometric.
D
The size is preserved.
E
The angles are not preserved.
11

Triangle XYZ is transformed to create triangle X'Y'Z'. The side lengths of both triangles are shown. = 10 cm = 10 cm = 9 cm = 9 cm = 4 cm = 4 cm

Question illustration
A
Yes, the pre-image and image have the same side length measures.
B
Yes, all transformations are rigid.
C
No, the side lengths of triangle XYZ are different from each other.
D
No, each side length of X'Y'Z' should be one half of the corresponding side length of XYZ.
12

A transformation of ΔSTV results in ΔUTV.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
13

Which transformations are nonrigid transformations? Select two options.

A
dilation
B
reflection
C
rotation
D
stretch
E
translation
14

Triangle 1 undergoes four different transformations. The results of these transformations are shown.

Question illustration
A
Triangle 1 is rotated to result in triangle 2.
B
Triangle 1 is dilated to result in triangle 3.
C
Triangle 1 is reflected to result in triangle 4.
D
Triangle 1 is stretched to result in triangle 5.
15

A transformation is shown in the diagram.

Question illustration
A
Quadrilateral DEFG is translated to form quadrilateral D'E'F'G'.
B
Quadrilateral DEFG is rotated to form quadrilateral D'E'F'G'.
C
Quadrilateral DEFG is reflected to form quadrilateral D'E'F'G'.
D
Quadrilateral DEFG is dilated to form quadrilateral D'E'F'G'.
16

A transformation of rectangle ABCD results in rectangle A'B'C'D'.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
17

Triangle ABC is transformed to create triangle MNL.

Question illustration
A
The transformation is rigid because corresponding side lengths and angles are congruent.
B
The transformation is rigid because corresponding side lengths are congruent and corresponding angles are not congruent.
C
The transformation is nonrigid because the two triangles have different names.
D
The transformation is nonrigid because the three sides and the three angles in each triangle have different measures.
18

Consider the two rectangles shown.

Question illustration
A
reflection
B
rotation
C
stretch
D
translation
19

Consider the transformation.

Question illustration
A
It is isometric because the side lengths remained the same.
B
It is isometric because all angle measures remained the same.
C
It is not isometric because the side lengths did not remain the same.
D
It is not isometric because the angle measures did not remain the same.
20

Triangle STV is transformed to create the image, triangle UTV.

Question illustration
A
Side length U T
Option A
B
Side length V U
Option B
C
Side length T S
Option C
D
Side length T V
Option D

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