Question

Sameer draws triangles ABC and XYZ. Then he writes the quotients of the corresponding side lengths as fractions. Sameer says that triangle XYZ is a dilation of triangle ABC. Is he correct?

A) Yes
B) No

Answer 1

Yes, Sameer is correct. Triangle XYZ is a dilation of triangle ABC.

Step-by-step explanation:

Sameer is correct. Triangle XYZ is a dilation of triangle ABC.

In a dilation, the corresponding side lengths of the two triangles are proportional.

Let's say the corresponding side lengths of triangle ABC and XYZ are AB and XY, BC and YZ, and AC and XZ, respectively.

If triangle XYZ is a dilation of triangle ABC, then AB/XY = BC/YZ = AC/XZ.

Therefore, Sameer is correct.