Question

Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image?

(–6, 3)
(–3, 6)
(3, –6)
(6, –3)

Answer 1

Answer: D. (6, –3)

Step-by-step explanation: TRUST ME! Answer correct in Edge. :)

Answer 2

(6, –3)

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.

If an object with point A(x, y) is dilated about the center of origin by a factor k, the new point is A'(kx, ky)

From the question, the coordinate if the triangle ABC is at A(-1, 2), B(-1, -1) and C(2, -1).

Since the new triangle has sides with three times length, hence it is dilated by a factor of 3. The new coordinates are:

A' = 3(-1, 2) = (-3, 6)

B' = 3(-1, 1) = (-3, 3)

C' = 3(2, -1) = (6, -3)