Question

1. are figure a and figure b congruent? if so, describe a composition of rigid motions that maps figure a to figure b. if not, explain. enter your answer.

Explanation:

Step1: Check congruence definition

Two figures are congruent if they have the same shape and size. Figure A and Figure B have the same shape (both are arrows) but are oriented differently. Rigid - motions include translations, rotations, and reflections.

Step2: Determine the rigid - motion

A rotation of 180° about a point (for example, the mid - point between the two arrows) can map Figure A to Figure B.

Answer:

Yes, Figure A and Figure B are congruent. A 180° rotation about a suitable point maps Figure A to Figure B.