A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6). When the triangle is dilated about the origin with a scale factor of 1/2, what are the new coordinates?

A triangle in the coordinate plane has vertices of (2,6), (-4, -4), and (0,-6). When the triangle is dilated about the origin with a scale factor of 1/2, what are the new coordinates?

(1,3), (-2, -2), and (0, -3)

(4,8), (-2, -2), and (2,-4)

(0,4), (-6, -6), and (-2,-8)

(4,12), (-8, -8), and (0, -12)

1 answer

The correct answer is (1,3), (-2, -2), and (0, -3).

To find the new coordinates after dilating the triangle by a scale factor of 1/2 about the origin, we simple multiply the coordinates of each vertex by the scale factor.

(1/2)(2,6) = (1,3)
(1/2)(-4,-4) = (-2,-2)
(1/2)(0,-6) = (0,-3)