Question

1. in which pair of figures can figure a be taken to figure b by a rotation? pair 1 pair 2 pair 3 pair 4 a) pair 1 b) pair 2 c) pair 3 d) pair 4

Explanation:

Step1: Recall rotation concept

A rotation is a transformation that turns a figure around a fixed - point. The shape and size of the figure remain the same, only its orientation changes.

Step2: Analyze Pair 1

In Pair 1, Figure A and Figure B have different orientations and can be mapped onto each other by a rotation around a point.

Step3: Analyze Pair 2

In Pair 2, the figures are congruent but the transformation from Figure A to Figure B is a translation (a slide) rather than a rotation.

Step4: Analyze Pair 3

In Pair 3, the figures are mirror - images of each other. The transformation is a reflection, not a rotation.

Step5: Analyze Pair 4

In Pair 4, the figures are not congruent in the way that would allow for a rotation to map Figure A to Figure B.

Answer:

A. Pair 1