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 right 6 units
translate figure a up 6 units
reflect figure a over the x-axis
reflect figure a over the y-axis
rotate figure a clockwise 90° about the origin
rotate figure a counterclockwise 180° 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 left 4 units
translate figure c down 4 units
reflect figure c over the x-axis
reflect figure c over the y-axis
rotate figure c clockwise 180° about the origin
rotate figure c counterclockwise 90° 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 (top right) to B (middle right): No translation/reflection/rotation matches → None.

Step3: Check congruence of C and D

C (top left) and D (bottom left): Different orientation but same shape/size → Yes.

Step4: Check transformation for C→D

C to D: Rotate 180° clockwise about origin swaps coordinates → Matches.

Answer:

1. Are Figure A and Figure B congruent? Yes
2. Which transformation maps Figure A to B? None of these
3. Are Figure C and Figure D congruent? Yes
4. Which transformation maps Figure C to D? Rotate Figure C clockwise 180° about the origin