Question

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’?

1) X’(3, –1), Y’(0, 0), Z’(3, 1)
2) X’(1, 3), Y’(0, 0), Z’(–1, 3)
3) X’(1, –3),Y’(0, 0), Z’(–1, –3)
4) X’(–3, 1), Y’(0, 0), Z’(–3, –1)

Answer 1

Answer:

        4) X’(–3, 1), Y’(0, 0), Z’(–3, –1)

Step-by-step explanation:

Rotating 90° clockwise about the origin maps the point (a, b) to (b, -a).

So...

• X(-1, -3)  →  X'(-3, 1)
• Y(0, 0)  →  Y'(0, 0)
• Z(1, -3)  →  Z'(-3, -1)

The answer is (4).