Question

Lin drew a triangle and a dilation of the triangle with scale factor 1/2:What is the center of the dilation? Explain how you know.Which triangle is the original and which triangle is the dilation? Explain how you know.

Answer 1

Answer:

• Point A

,

• Triangle ABC

,

• Triangle ADE

Explanation:

From the diagram

The center of dilation is point A.

We know this because the center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Point A does not change in the two triangles.

The original triangle is triangle ABC.

We know this because it is the larger of the two triangles. A scale factor of 1/2 will reduce the size of the original image.

The dilation is triangle ADE.