Question

ΔDEF ≅ ΔD'E'F'. Use the picture to answer the question below.

Describe a sequence of rigid motions that would prove a congruence between ΔDEF and ΔD'E'F'

Answer 1

1) Translation

2) Rotation

3) Reflection

Explanation:

To make ΔDEF ≅ ΔD'E'F' , we will carry on the following steps:

Step 1: Translate ΔD'E'F' in upward direction, the figure will remain same but it will shift a little in upwards direction.

Step 2 : Rotate ΔD'E'F' about 180°. The figure obtained will be reflection of the original image ΔDEF.

Step 3 : Reflect ΔD'E'F'.

This implies that ΔDEF≅ΔD'E'F'.