In this diagram, angle ABC has been mapped onto angle A'B'C' by a series of rigid motions. Which statement best describes one way to prove that the triangles are congruent?
A) Rigid motions preserve distance and angle measure. This means that AB approximately= A'B', BC approximately=B'C', and angle A approximately= angle A', so the triangles are congruent by SAS.
B) Rigid motions preserve distance and angle measure. This means that AB approximately= A'B', BC approximately=B'C', and angle B approximately= angle B', so the triangles are congruent by SAS.
C) Measure the areas of angle ABC and angle A'B'C' to confirm that their areas are equal. This means that AB approximately= A'B', BC approximately= B'C', and AC approximately= A'C', so the triangles are congruent by SSS.
D) Measure the perimeters of angle ABC and angle A'B'C' to confirm that their perimeters are equal. This means that AB approximately= A'B', BC approximately= B'C', and AC approximately= A'C', so the triangles are congruent by SSS.