Question

tyler draws these figures on grid paper. some of the figures are rigid transformations of each other. determine whether the figures could be rigid transformations of each other. select yes or no for each pair of figures. figure a and figure d figure b and figure f figure c and figure e figure d and figure b figure e and figure a

Explanation:

Step1: Check side - lengths and angles

Rigid transformations (translations, rotations, reflections) preserve side - lengths and angles.

Step2: Analyze Figure A and Figure D

By observing, we can see that Figure D can be obtained from Figure A by a rotation or translation, so Yes.

Step3: Analyze Figure B and Figure F

The shapes are different in orientation and structure, so No.

Step4: Analyze Figure C and Figure E

The shapes have different orientations and cannot be mapped onto each other by rigid transformation, so No.

Step5: Analyze Figure D and Figure B

Figure D can be transformed to Figure B by a rotation and translation, so Yes.

Step6: Analyze Figure E and Figure A

The shapes have different orientations and cannot be mapped onto each other by rigid transformation, so No.

Answer:

Figure A and Figure D: Yes
Figure B and Figure F: No
Figure C and Figure E: No
Figure D and Figure B: Yes
Figure E and Figure A: No