Rotations Answers

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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)
3

Analyze the diagram below and answer the question that follows.The vertices of are Q(–4,0), P(–6, 7), and R(–2, 1). is rotated 90° counterclockwise about the origin to form . What are the coordinates of the vertices of ?

Question illustration
A
Q’(0, –4), P’(–7, –6), R’(–1, –2)
B
Q’(0, –4), P’(7, 6), R’(1, –2)
C
Q’(0, 4), P'(–7, 6), R’(–1, 2)
D
Q’(4, 0), P’(6, 7), R’(2, –1)
6

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
9

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.
10

What is the algebraic rule for a figure that is rotated 270° clockwise about the origin?

A
RO,–270°(x, y) → (–y, x)
B
RO,–270°(x, y) → (x, –y)
C
RO,270°(x, y) → (–x, –y)
D
RO,270°(x, y) → (–y, –x)

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