Question

Triangle MOP has been rotated to create triangle M'O'P'. MP= M'P' = 2 units, MO = M'O' = 2 units, and OP=O'P'= 2.82 units. Which postulate or theorem below would prove the two triangles are congruent?

A.SSS
B.SAS
C.ASA
D.HL

Answer 1

It is the SSS theorem, we don't have a missing side and there are no angles so it has to be SSS (Side-Side-Side) theorem.

Answer 2

In this item, we are given that the three pairs of corresponding sides of the triangles are congruent because they were given to have the same measurements. The postulate or theorem that therefore proves that these triangles are indeed similar is the SSS which stands for Side – Side – Side.