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bearhunter [10]
2 years ago
10

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 t

he correct set of image points for triangle X’Y’Z’? X’(3, –1), Y’(0, 0), Z’(3, 1) X’(1, 3), Y’(0, 0), Z’(–1, 3) X’(1, –3),Y’(0, 0), Z’(–1, –3) X’(–3, 1), Y’(0, 0), Z’(–3, –1)
Mathematics
1 answer:
OLga [1]2 years ago
6 0

Answer:

Option D.

Step-by-step explanation:

It is given that triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3).

Malik rotated the triangle 90° clockwise about the origin. So, rule of rotation is

(x,y)\to (y,-x)

Now,

X(-1,-3)\to X'(-3,-(-1))=X'(-3,1)

Y(0,0)\to Y'(0,0)

Z(1,-3)\to Z'(-3,-(1))=Z'(-3,-1)

The image points are X’(–3, 1), Y’(0, 0), Z’(–3, –1).

Therefore, the correct option is D.

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