Question

George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2), B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A′B′C′, by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A′B′C′?

A.
A′(2, 2), B′(1, 2), C′(3, 2)
B.
A′(2, 1), B′(1, 2), C′(3, 2)
C.
A′(8, 4), B′(4, 8), C′(12, 8)
D.
A′(2, 1), B′(1, 2), C′(6, 4)

Answer 1

Hi! The correct answer is B: A' = (2, 1), B' = (1, 2), and C'=(3, 2).

Explanation:

Why? because dilating a shape is basically multiplying it with the scale factor, so since the dilating factor is 1/2, you just divide all the numbers by 2.