Question

A) Yes. The congruence transformation is a reflection.

B) Yes. The congruence transformation is a rotation.
C) No. There is no congruence transformation that maps ABCDE to FGHIJ
D) No. FGHIJ is a dilation of ABCDE, and dilations produce similar figures, not congruent.

Answer 1

Two figures that can be transformed into each other by a congruence transformation are said to be congruent. Congruent transformation of the plane include translation, rotation, reflection, glides, and the identity map. Every congruent transformation in the plane can be achieved by a maximum of three reflections

Explanation:

Answer 2

A) Yes. The congruence transformation is a reflection.

Explanation:

We are given the figures ABCDE and FGHIJ.

it can be easily seen that the given figures are congruent.

It is required to find the transformation that makes the figures congruent.

We can see from the figure that,

ABCDE is reflected across the line x = -1 in order to map onto the figure FGHIJ.

Hence, we have, option A is correct.

That is,

A) Yes. The congruence transformation is a reflection.