Question

Triangle XYZ is rotated 90° counterclockwise about the origin.

What are the coordinates of point Y’?
(4, –2)
(1, 4)
(–4, 1)
(–1, –4)

Answer 1

1,4

Explanation:

Answer 2

`Y'(1,4)`

Explanation:

From the diagram, the vertex Y of the triangle has coordinates (4,-1).

The mapping for 90° counterclockwise rotation about the origin is

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

This implies that;

`Y(4,-1)\to Y'(--1,4)`

`\Rightarrow Y(4,-1)\to Y'(1,4)`

The correct answer is B.