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4. complete the table by identifying the rigid motion that maps the fir…

Question

  1. complete the table by identifying the rigid motion that maps the first figure onto the second figure.

rigid motion
figure a onto figure b
figure a onto figure c
figure b onto figure c

Explanation:

Step1: Analyze the transformation from Figure A to Figure B

Looking at the orientation and position, Figure A to Figure B is a rotation.

Step2: Analyze the transformation from Figure A to Figure C

Looking at the orientation and position, Figure A to Figure C is a reflection.

Step3: Analyze the transformation from Figure B to Figure C

Since Figure A to B is rotation and A to C is reflection, then B to C is a composition of rotation and reflection (or we can observe the orientation and position change, which is a reflection).

Answer:

Rigid MotionFigure A onto Figure BFigure A onto Figure CFigure B onto Figure C