Thegreenfalcon Thegreenfalcon
  • 10-11-2017
  • Mathematics
contestada

Justify the last two steps of the proof. Given: MN=PO and MO=PN Prove: MNO=PON

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jajumonac jajumonac
  • 08-01-2020

Answer:

The figure of this problem is attached.

Givens:

  • MN=PO and MO=PN.
  • NO=NO by hypothesis, because both triangles have NO in common.

Now, according to the hypothesis, all three corresponding sides are congruent, that is:

[tex]MN \cong PO\\MO \cong PN\\NO \cong NO[/tex]

Therefore, the SSS postulate, Side-Side-Side postulate, both triangles are congruent. From this congruence each corresponding pair of angles are equivalent.

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