Question

Which theorem or postulate proves that △ABC and △DEF are similar? The two triangles are similar by the ________

Answer 1

As per explanation

Explanation:

1. Angle-Angle (AA) similarity postulate : If two angles of one triangle are congruent to two angles of another, then the triangles are similar.

As per the diagram,
Triangles RPQ & RST are similar since
/_P = /_S & /_Q = /_T

1. Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.
   Triangles RPQ & RST are similar since
   RP/RS = RQ/RT = ST/PQ