Question

1. multiple answer 2 points

choose the statements that are true about the figures. select all that apply.
figure a can be translated onto figure c
figure a can be rotated and translated onto figure b
figure b is congruent to figure a
figure c is congruent to figure a

1. transformations

name a conjecture about which figures are congruent to figure a. justify your conjecture by stating how you can move from figure a to each congruent figure by translating, reflecting, or rotating figure a.

Explanation:

Step1: Recall congruence and transformation rules

Congruent figures have same shape and size. Transformations like translation, rotation, and reflection can map one congruent figure onto another.

Step2: Analyze each option

If Figure A can be translated onto Figure C, it means they are congruent and have the same orientation in a different position. If Figure A can be rotated and translated onto Figure B, it implies they are congruent as rotation and translation are rigid - motions that preserve shape and size. If Figure B is congruent to Figure A and Figure C is congruent to Figure A, then all three figures are congruent to each other.

Answer:

All of the statements (Figure A can be translated onto Figure C, Figure A can be rotated and translated onto Figure B, Figure B is congruent to Figure A, Figure C is congruent to Figure A) are true.