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 below would prove the two triangles are congruent?

SSS

SAS

ASA

AAS

Answer 1

Answer: SSS

Explanation:

Given : Triangle MOP has been rotated to create triangle M'O'P'.

such that MP = M'P' = 2 units

MO = M'O' = 2 units

OP = O'P' = 2.82 units.

Then , by SSS postulate of congruence , we have

`\triangle{MOP}\cong\triangle{M'O'P'}`

• The SSS postulate of congruence says that if three sides of a triangle are congruent to three sides of any other triangle then the triangles are congruent.

Answer 2

For the answer to the question above asking which postulate below would prove the two triangles are congruent if a 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.
The postulate that would prove the two triangles to be congruent is SSS. The reason behind choosing this option is that there are no angles given. So my answer would be A. SSS