AnswersQ5 Geometry New 2022Interactive: Proof Basics

Rotations Answers

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1
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Analyze the graph below and answer the question that follows. The figure above is rotated 180° counterclockwise about the origin. What are the coordinates of R'?

Question illustration
A
(–6, 1)
B
(–1, –6)
C
(1, 6)
D
(6, –1)
2
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Analyze the graph below and answer the question that follows. What is the angle of rotation from to ? Assume that the center of rotation is the origin.

Question illustration
A
90° counterclockwise
B
180° counterclockwise
C
270° counterclockwise
D
360° counterclockwise
3

Analyze the graph below and answer the question that follows. The figure above is rotated 270° counterclockwise about the origin. What are the coordinates of W'?

Question illustration
A
(–3, –1)
B
(–1, –3)
C
(1, –3)
D
(3, –1)
4

Analyze the graph below and answer the question that follows. Quadrilateral DEFG is rotated 180° about the origin to create quadrilateral D'E'F'G'. In which quadrant does G' lie?

Question illustration
A
I
B
II
C
III
D
IV
5

Analyze the diagram below and answer the question that follows. The regular hexagon has an interior angle of 60°. What is the angle of rotation when vertex R is mapped onto vertex W in a clockwise rotation?

Question illustration
A
120°
B
180°
C
240°
D
300°
7

Which of the following describes the angle of rotation of a counterclockwise rotation?

A
negative
B
positive
C
equal to 90 degrees
D
double the interior angle of the image
8

Analyze the graph below and answer the question that follows. The vertices of are G(–4, 0), H(5, 2), and I(–2, –3). is rotated 270° counterclockwise about the origin to form . What are the coordinates of the vertices of ?

Question illustration
A
G’(–4, 0), H’(5, 2), I’(–2, –3)
B
G’(0, 4), H’(–2, –5), I’(3, 2)
C
G’(0, 4), H’(2, –5), I’(–3, 2)
D
G’(4, 0), H’(–5, 2), I’(2, –3)
10

Analyze the graph below and complete the instructions that follow. A student rotated figure A 270° clockwise about the origin to create figure D. Evaluate whether the student performed the rotation correctly.

Question illustration
A
The student performed the rotation correctly.
B
The student incorrectly performed a rotation of 180° clockwise.
C
The student incorrectly performed a rotation of 90° clockwise.
D
The student incorrectly performed a rotation of 90° counterclockwise.

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