Question

The triangle ABC, shown on the coordinate plane above, is dilated from the origin by scale factor r = 1/2. What is the location of triangle A'B'C'?​

Answer 1

see explanation

Explanation:

Since the dilatation is centred at the origin with a scale factor of
`(1)/(2)`.

Then the coordinates of the image are one half the coordinates of the original, that is

A(3, 4 ) → A'(1.5, 2 )

B(- 7, 2 ) → B'(- 3.5, 1 )

C(2, 2 ) → C'(1, 1 )