Question

Quadrilaterals EFGH and ABCD are congruent. Which of the following sequences of transformations maps EFGH ontoABCD?

A. Translation, rotation, reflection
B. Dilation, reflection, rotation
C. Rotation, translation, dilation
D. Reflection, translation, dilation

Answer 1

The correct sequence of transformations that maps quadrilaterals EFGH onto ABCD is option A: Translation, rotation, reflection.

Step-by-step explanation:

The correct sequence of transformations that maps quadrilaterals EFGH onto ABCD is option A: Translation, rotation, reflection.

To understand why this is the correct sequence, let's break it down step by step:

1. A translation moves EFGH to the corresponding position of ABCD without changing its shape or orientation.
2. A rotation rotates the translated shape to align with ABCD.
3. A reflection reflects the rotated shape to match ABCD exactly, maintaining congruency.

Therefore, option A is the correct sequence of transformations to map EFGH onto ABCD.