Question

To show how AAS follows from the definition of congruence, answer the following question. What rigid transformation maps △A"B"C"→△DEF ? (1 point) Responses
dilation
reflection
rotation
translation

Answer 1

To show how the Angle-Angle-Side (AAS) postulate follows from the definition of congruence, we need to find a rigid transformation that maps two corresponding angles and one corresponding side of △A"B"C" to the corresponding angles and side of △DEF.

A dilation does not preserve angles, so it cannot be used to map the corresponding angles.

A reflection does preserve angles, but it also reverses the order of the vertices, so it cannot be used to map the corresponding side.

A rotation preserves angles and maintains the same order of the vertices, so it can be used to map the corresponding angles and side.

Therefore, the rigid transformation that maps △A"B"C" to △DEF is a rotation.