Question

If the coordinates of a triangle are `(2,2), (2,4)`, and `(5,2)`, what are the new coordinates after a dilation of -1/2?

Answer 1

New coordinates of the triangle after dilation are

`color(blue)(A’ (-1,-1), B’ (-1,-2), C’ (-5/2, -1)`

Explanation:

Coordinates of the triangle `A (2,2), B (2,4), C (5,2)` dilated around origin by factor (-1/2).

`A’ ((x),(y)) = (-1/2) * ((2),(2)) = ((-1),(-1))`

`B’ ((x),(y)) = (-1/2) * ((2),(4)) = ((-1),(-2))`

`C’ ((x),(y)) = (-1/2) * ((5),(2)) = ((-5/2),(-1))`