Question

are figure a and figure b congruent? yes no which transformation will map figure a onto figure b exactly? translate figure a to the left 3 units translate figure a down 3 units reflect figure a over the x - axis reflect figure a over the y - axis rotate figure a clockwise 180° about the origin rotate figure a counterclockwise 90° about the origin none of these are figure c and figure d congruent? yes no which transformation will map figure c onto figure d exactly? translate figure c to the right 6 units translate figure c up 6 units reflect figure c over the x - axis reflect figure c over the y - axis rotate figure c clockwise 90° about the origin rotate figure c counterclockwise 180° about the origin none of these

Explanation:

Step1: Check congruence of A and B

Congruent figures have same shape/size. A and B match → Yes.

Step2: Check transformation for A→B

A rotated 180° about origin maps to B.

Step3: Check congruence of C and D

C and D have same shape/size → Yes.

Step4: Check transformation for C→D

Translate C right 6 units maps to D.

Answer:

Are Figure A and Figure B congruent? Yes
Which transformation maps Figure A to B? Rotate Figure A 180° about the origin
Are Figure C and Figure D congruent? Yes
Which transformation maps Figure C to D? Translate Figure C to the right 6 units