Question

The vertices of / are Q(–4,0), P(–6, 7), and R(–2, 1). / is rotated 90° counterclockwise about the origin to form /. What are the coordinates of the vertices of /?

Answer 1

The vertices of coordinates of image are Q'(0,-4), P'(-7,-6) and R'(-1,-2).

Explanation:

The vertices of triangle QPR are Q(–4,0), P(–6, 7), and R(–2, 1). It is rotated 90° counterclockwise about the origin to form a new triangle Q'P'R'.

If a figure rotated 90° counterclockwise about the origin, then

`(x,y)\rightarrow (-y,x)`

The coordinated of image are

`Q(-4,0)\rightarrow Q'(0,-4)`

`P(-6,7)\rightarrow P'(-7,-6)`

`R(-2,1)\rightarrow R'(-1,-2)`

Therefore the vertices of coordinates of image are Q'(0,-4), P'(-7,-6) and R'(-1,-2).

Answer 2

Q’(0, –4), P’(–7, –6), R’(–1, –2)