Question

Will give medal and fan Make a two-column proof showing statements and reasons to prove that triangle NMT is similar to triangle PMN.

Answer 1

@Hero Can you please help me?

Answer 2

Please PM me if you can help :D

Answer 3

\(\angle TNM=\angle NMP={ 50 }^{ o }\\ Same\ Side\ MN\\ \angle TMN=\angle NMP\\\)

Answer 4

@SolomonZelman

Answer 5

@whpalmer4

Answer 6

@Luigi0210

Answer 7

@ranga

Answer 8

angle MNT = angle MPN = 50 degrees Given
angle NMT = angle PMN Reflexive
Triangles NMT and PMN are similar 2 angles are same. 3rd angle must be same.

The last part "2 angles are same. 3rd angle must be same." may have to be rephrased but this is the gist of the proof.

Answer 9

thank you so much

Answer 10

You are welcome.

The third reason is: Angle-Angle theorem for similar triangles.

STATEMENT REASON
angle MNT = angle MPN = 50 degrees Given
angle NMT = angle PMN Reflexive Property
Triangles NMT and PMN are similar Angle-Angle Theorem