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.
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
1 answer
1 answer