Rotations in the Coordinate Plane Answers

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Triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3). Malik rotated the triangle 90° clockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

A
X’(3, –1), Y’(0, 0), Z’(3, 1)
B
X’(1, 3), Y’(0, 0), Z’(–1, 3)
C
X’(1, –3),Y’(0, 0), Z’(–1, –3)
D
X’(–3, 1), Y’(0, 0), Z’(–3, –1)
6

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?

A
counterclockwise rotation
Option A
B
counterclockwise rotation
Option B
C
clockwise rotation
Option C
D
rotation
Option D
8

What is the mapping rule for a 180 degree rotation about the origin?

A
(x, y)g(–y, x)
B
(x, y)g(–y, –x)
C
(x, y)g(–x, –y)
D
(x, y)g(x, –y)
9

Andrew’s rotation maps point M(9, –1) to M’(–9, 1). Which describes the rotation?

A
rotation
Option A
B
clockwise rotation
Option B
C
counterclockwise rotation
Option C
D
clockwise rotation
Option D
10

Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?

Question illustration
A
Point B is the result of a 180° rotation.
B
Point A and B have the same x-coordinate.
C
Point B is the result of a 90° counterclockwise rotation.
D
Point A and point B are the same distance from the origin.

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