AnswersFL-1205070-MJ Grade 8 Pre-Algebra BRotations in the Coordinate Plane

Rotations in the Coordinate Plane Answers

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3

Find the coordinates of point A’.

A
A’(2, 3)
B
A’(–3, –2)
C
A’(–2, –3)
D
A’(–2, 3)
4

What are the coordinates of G’?

A
G’(–2, –2)
B
G’(–4,–2)
C
G’(2, –4)
D
G’(4, 2)
5

What are the coordinates of its image V’?

A
V’(1, 4)
B
V’(–1, 4)
C
V’(–1, –4)
D
V’(4, 1)
7

What is the correct set of image points for triangle A’B’C’?

A
A’(3, 2), B’(3, 5), C’(2, 4)
B
A’(3, –2), B’(3, –5), C’(2, –4)
C
A’(–3, –2), B’(–3, –5), C’(–2, –4)
D
A’(–3, 2), B’(–3, 5), C’(–2, 4)
8

Which describes the rotation?

A
180° clockwise rotation
B
180° counterclockwise rotation
C
90° counterclockwise rotation
D
90° clockwise rotation
10

✔ an error in step 1an error in step 2an error in step 3no error.

A
✔ an error in step 1
B
an error in step 2
C
an error in step 3
D
no error
11

Based on what you know about rotations, what do you think the mapping rule is for a rotation of 270 degrees clockwise? Explain.

Answer:

A rotation of 270 degrees clockwise is equivalent to a 90-degree counterclockwise rotation. Since there are 360 degrees in a full circle, 360 - 270 = 90. Therefore, the mapping rule for a 270-degree clockwise rotation is (x, y) → (–y, x).

12

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

A
There are 360 degrees in one revolution.x
B
A 270-degree clockwise rotation is the same as a 90-degree counterclockwise rotation.
C
(x, y) maps to (–y, x).

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