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

Answer 1

The area of the triangle D'E'F' is equal to the area of triangle DEF

Answer 2

Answer:

Option b)The area of triangle D’E’F’ is equal to the area of triangle DEF.

Step-by-step explanation:

Given that triangle DEF is translated two units up and two units right on a coordinate plane.

We know that transformations by shifting horizontally and vertically preserve the same geometric area.

Because triangle DEF is translated two units up and two units right area of triangle DEF will be congruent to the triangle D'E'F'.

Option b)The area of triangle D’E’F’ is equal to the area of triangle DEF.