Question

transformations
make 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.
multiple answer 2 points
choose the statements that are true about the figures. select all that apply
figure b is congruent to figure a
figure a can be translated onto figure c
figure a can be rotated and translated onto figure b
figure c is congruent to figure a

Explanation:

Step1: Recall congruence and transformation concepts

Congruent figures have the same shape and size. Transformations like translation (sliding), rotation (turning), and reflection (flipping) can be used to map one congruent figure onto another.

Step2: Analyze each option

• Option "Figure B is congruent to Figure A": Without seeing the figures, we assume if they have same shape - size, a transformation can map them.
• Option "Figure A can be rotated and translated onto Figure B": If congruent, rotation and translation can align them.
• Option "Figure A can be translated onto Figure C": If congruent, translation can map them.
• Option "Figure C is congruent to Figure A": If same shape - size, they are congruent and can be mapped by transformation.

Answer:

All the statements could be true depending on the actual figures. If the figures are congruent, any of the described transformation - based mappings are possible. So all of the given statements (Figure B is congruent to Figure A; Figure A can be rotated and translated onto Figure B; Figure A can be translated onto Figure C; Figure C is congruent to Figure A) may apply.