Question

use the information given in the diagram, tell why MN congruent to PO and <nom congruent to <PMO

Answer 1

MN is congruent to PO because triangles MPO is congruent to ONM by SAS, then corresponding sides and angles are congruent. So when two triangles are congruent corresponding sides and angles are congruent. This is reason that

Answer 2

Given, given.

Explanation:

The choice that makes most sense is "given, given", because basically, the given graph shows all those congruences.

The graph exactly shows

`MN \cong PO\\\angle NOM \cong \angle PMO\\PM \cong ON\\MO\cong MO\\\angle MPO \cong \angle MNO`

So, the reason of those congruence is by given.

Now, if we analyse each choice, we have different properties like transitive property and reflexive property. From these properties, the reflexive one can be used but to demonstrate that both triangles formed inside share the same side MO, that would be used to demonstrate a congruence between triangles.