Question

A triangle has the coordinates of A(-2,2) B(3,6) and C(1,-2).What will be the new coordinates of vertex B if the triangle is dialated by a scale factor of 1\3

Answer 1

(1, 2)

Explanation:

If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be (kx, ky)

Given the vertex B of the coordinate triangle as (3, 6), if dilated by a factor of 1/3, the resulting coordinate will be (1/3(3), 1/3(6))

B' = (1/3(3), 1/3(6))

B' = (1, 2)

Hence the resulting coordinate will be (1,2)