Question

1. clare created figure a. then she created figure b by translating triangle c and then translating triangle d. figure a figure b select all the true statements. a. figure a is congruent to figure b b. figure b is a translation of figure a. c. triangle c is congruent to triangle c. d. triangle d is congruent to triangle d.

Explanation:

Step1: Recall translation property

Translation is a rigid - motion. Rigid - motions preserve side - lengths and angles, which means congruence is maintained.

Step2: Analyze Figure A and Figure B

Since Figure B is created by translating parts (Triangle C and Triangle D) of Figure A, the overall Figure A and Figure B have the same size and shape. So Figure A is congruent to Figure B.

Step3: Analyze individual triangles

When Triangle C is translated to get Triangle C', and Triangle D is translated to get Triangle D', their side - lengths and angles remain the same. So Triangle C is congruent to Triangle C', and Triangle D' is congruent to Triangle D.

Step4: Analyze statement b

Figure B is not a translation of Figure A as a whole. It is formed by translating parts of Figure A.

Answer:

a. Figure A is congruent to Figure B
c. Triangle C is congruent to Triangle C'
d. Triangle D' is congruent to Triangle D