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 7 units translate figure a up 7 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 left 5 units translate figure c down 5 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: Analyze Figure A and B congruence

Visually, Figure A and Figure B have the same shape and size, so they are congruent.

Step2: Determine transformation for A to B

By observing the position of Figure A and B, reflecting Figure A over the y - axis will map it onto Figure B exactly.

Step3: Analyze Figure C and D congruence

Visually, Figure C and Figure D have different orientations and positions in a way that they are not congruent.

Step4: Determine transformation for C to D

None of the given transformation options will map Figure C onto Figure D exactly.

Answer:

Are Figure A and Figure B congruent? Yes
Which transformation will map Figure A onto Figure B exactly? Reflect Figure A over the y - axis
Are Figure C and Figure D congruent? No
Which transformation will map Figure C onto Figure D exactly? None of these