Question

A triangle has vertices of (−3, 3), (−3, 2), and (1, −2). What are the coordinates after dilating from the origin by a scale factor of 1 2 ?

Answer 1

(-1.5, 1.5), '(-1.5, 1) and (0.5, -1)

Explanation:

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

Similarly given the coordinates of a triangle (−3, 3), (−3, 2), and (1, −2)

when dilated by a factor of 1/2, the new coordinates will be at;

A (-3, 3) = A'(1/2*-3, 1/2 * 3) = A'(-1.5, 1.5)

B (-3, 2) = B'(1/2*-3, 1/2 * 2) = B'(-1.5, 1)

C (1, -2) = C'(1/2*1, 1/2 * -2) = C'(0.5, -1)