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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\tfigure a onto figure b\tfigure a onto figure c\tfigure b onto figure c

Explanation:

Step1: Analyze the orientation change

Observe the relative positions and orientations of the figures. For Figure A onto Figure B, we can see that there is a turn - like change. Since rigid motions include translation, rotation and reflection, and the orientation of Figure A changes to match Figure B, it is a rotation.

Step2: Confirm rotations for other pairs

For Figure A onto Figure C and Figure B onto Figure C, we can also note the change in orientation around a fixed point, which is characteristic of rotation.

Answer:

Figure A onto Figure BFigure A onto Figure CFigure B onto Figure C