Question

Triangle DEF is translated two units up and two units right on a coordinate plane. Which of the following scenarios best represent(s) triangles DEF and D’E’F’. Select all that apply.

The area of triangle D’E’F’ is twice the area of triangle DEF.
The area of triangle D’E’F’ is four times the area of triangle DEF.
The area of triangle D’E’F’ is equal to the area of triangle DEF.
The area of triangle D’E’F’ is half the area of triangle DEF.

Answer 1

Only this one applies:

- The area of triangle D’E’F’ is equal to the area of triangle DEF.

Reason: A translation is a rigid motion (an isometry) that shifts every point by the same vector, so it does not change lengths, angles, or areas.