Question

a rigid transformation is applied to figure a to produce figure b. which of the following is true? a. the two figures are congruent because figure b is a translation of figure a. b. the two figures are not congruent. c. the two figure are congruent because figure b is a reflection of figure a. d. the two figures are congruent because figure b is a rotation of figure a.

Explanation:

Rigid transformations (translation, reflection, rotation) preserve the shape and size of a figure. Since a rigid transformation is applied to figure A to get figure B, they are congruent. Figure B is not a translation (no sliding without rotation or reflection) or a reflection (no mirror - like flipping over a line) of figure A. But it is a rotation (turning around a point, here point C) of figure A.

Answer:

D. The two figures are congruent because Figure B is a rotation of Figure A.