# Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. Given: Quadrilateral AMNO MN║AO AM║ON Prove: ∆AMN ≅ ∆NOA

2 answers

###### Question:

Solve the problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it.

Given: Quadrilateral AMNO

MN║AO

AM║ON

Prove: ∆AMN ≅ ∆NOA

Given: Quadrilateral AMNO

MN║AO

AM║ON

Prove: ∆AMN ≅ ∆NOA

## Answers

Answer:∆AMN ≅ ∆NOAStep-by-step explanation:Given:Quadrilateral AMNO MN║AO AM║ONTo prove:∆AMN ≅ ∆NOALets first draw two diagonals represented by lines MO and AN inside the given quadrilateral AMNONow we know if lines are parallel then the alternate interior angles are congruent , hence∠NMO≅∠AOM ∠MNA≅∠NAO ∠AMO≅∠NOM ∠MAN≅∠ANO Also by Reflexive Property we haveNA≅NAMO≅MO From ASA congruence property of triangles that states that if two angles and a side of two triangles are congruent then the two triangle are said to be congruent, hence we have ΔAMN≅ΔNOAΔMAO≅ΔONM !

Answer:∆AMN=∆NOA by rule SSS

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