Question

answer each question below. 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 5 units translate figure a up 5 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 3 units translate figure c down 3 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 Figure A and B

Congruent figures have same shape and size. By observing, Figure A and B have same shape and size, so they are congruent.

Step2: Determine transformation from A to B

By comparing coordinates of key - points, translating Figure A up 5 units will map it onto Figure B exactly.

Step3: Check congruence of Figure C and D

Figure C and D have same shape and size, so they are congruent.

Step4: Determine transformation from C to D

By comparing coordinates of key - points, reflecting Figure C over the y - axis will map it onto Figure D exactly.

Answer:

Are Figure A and Figure B congruent? Yes
Which transformation will map Figure A onto Figure B exactly? Translate Figure A up 5 units
Are Figure C and Figure D congruent? Yes
Which transformation will map Figure C onto Figure D exactly? Reflect Figure C over the y - axis