Congruence and Transformations 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)
2
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Triangle XYZ is rotated 90° clockwise about the origin.What are the coordinates of point X’?

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

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

A
X’(1, 1), Y’(-4, 3), Z’(1, 5)
B
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
C
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
D
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
4

Point A has coordinate A(3, 2). The point is rotated 180° clockwise about the origin. What is the x-coordinate of point A’? ( enter one corrdinate point only )

Answer not available
5

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.
6

A rotation maps point A to A’. Which statement describes the rotation?

Question illustration
A
270° counterclockwise rotation
B
90° clockwise rotation
C
180° rotation
D
90° counterclockwise rotation

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