Question

Find the coordinates of the image of a triangle with vertices A(0, – 3), B(3, 0), and

C(-7, 4) under a rotation of 90° clockwise about the origin.

Answer 1

A'(-3,0), B'(0,-3) and C'(4,7)

Explanation:

We are given that the vertices of triangle are A(0,-3), B(3,0) and C(-7,4).

We have to find the coordinates of the image of triangle under a rotation of 90° clockwise about the origin.

90° clockwise about the origin

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

Using the rule

The coordinates of A'

`A(0,-3)\rightarrow A'(-3,0)`

The coordinates of B'

`B(3,0)\rightarrow B'(0,-3)`

The coordinates of C'

`C(-7,4)\rightarrow C'(4,7)`

Hence, the vertices of image of triangle is given by

A'(-3,0), B'(0,-3) and C'(4,7)