Question

Suppose NP is congruent to OM and MN is congruent to PO. Can you use the SSS Postulate or the SAS Postulate to prove

triangle MNP = triangle POM?

Answer 1

Answer:both apply

Explanation:

Answer 2

Answer: BY SSS only

Explanation:

In the given picture , we have two triangles ΔMNP and ΔPOM

Given : In ΔMNP and ΔPQM

`\overline{NP}\cong\overline{OM}\\\\\overline{MN}\cong\overline{PO}`

Also,
`\overline{MN}\cong\overline{MN}` [By Reflexive property]

Therefore , by SSS congruence postulate , we have

ΔMNP ≅ ΔPOM

• SSS congruence postulate says that if three sides of one triangle are congruent to three sides of another triangle then the two triangles are congruent.

We can not use SAS congruence postulate because there is no information given regarding angles.