AnswersGCSS_GA-Geometry Concepts and Connections_ICIntroduction to Transformations

Lesson 4.1: Introduction to Transformations Answers

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2 trapezoids have identical angle measures but different side lengths. Trapezoid 1 has side lengths 4, 2, 6, 2. Trapezoid 2 has side lengths 8, 4, 12, 4.

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A
It is a dilation because the transformation is isometric.
B
It is a dilation because the transformation is not isometric.
C
It is a stretch because the transformation is isometric.
D
It is a stretch because the transformation is not isometric.
2
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A transformation of ΔSTV results in ΔUTV.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation
3

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

Question illustration
A
dilation
B
stretch
C
reflection
D
rotation
4

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.
5

Which transformations are nonrigid transformations? Select two options.

A
dilation
B
reflection
C
rotation
D
stretch
E
translation
6

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.
7

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'.
8

Which statements are true regarding the transformation? Select two options.

A
SQ corresponds to VU.
B
R corresponds to U.
Option B
C
UV corresponds to RS.
D
S corresponds to T.
Option D
E
QS corresponds to RS.
9

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.
10

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.

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