Question

The coordinates of the vertices of △PQR are P (0, 1), Q (0, 0),

and R (−2, 0). Draw the triangle and its image △P′Q′R′ after a 180°
clockwise rotation about the origin. What are the coordinates of the
vertices of △P′Q′R′?

Answer 1

Explanation:

step 1. P(0, 1) -> P'(0, -1)

step 2. Q(0, 0) -> Q'(0, 0)

step 3. R(-2, 0) -> R'(2, 0)

Answer 2

The coordinates of the vertices of △P′Q′R′ are P' (0, -1), Q' (0, 0), and R (2, 0)

How to determine the image of the rotation

From the question, we have the following parameters that can be used in our computation:

P (0, 1), Q (0, 0), and R (−2, 0)

Rotation: 180 Degrees About The Origin

To determine the coordinate rule for the rotation, we have

A 180-degree rotation: (x, y) → (-x, -y).

This means that

The image of the rotation is

P' (0, -1), Q' (0, 0), and R (2, 0)

Hence, the coordinates of the vertices of △P′Q′R′ are P' (0, -1), Q' (0, 0), and R (2, 0)