Answer:
(–8, –4)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the reduction or enlargement of the size of an object by a factor.
Given that triangle XYZ was dilated using the rule (x, y) ⇒ (0.25x, 0.25y) to produce triangle X'Y'Z' with points at X'(-4, 5), Y'(-6, -1) and Z'(-2, -1)
Since (x, y) ⇒ (0.25x, 0.25y)
(x, y) ⇒ 0.25(x, y)
4(x, y) ⇒ (x, y)
We can find the points of XYZ by multiplying by 4
hence:
X = 4(-4, 5) = (-16, 20)
Y = 4(-6, -1) = (-24, -4)
Z = 4(-2, -1) = (-8, -4)
