Question

Look at the figure.

Triangle NPM has the measure of angle NPM equal to 50 degrees. T is a point on side PM. Points N and T are joined by a straight line. Angle MNT measures 50 degrees.

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

Answer 1

start with whats given

Answer 2

NPM equal to 50 degrees and Angle MNT measures 50 degrees. is given

Answer 3

1. \(\angle NPM = 50 , \angle MNT = 50\) 1. Given

Answer 4

yes ! next statement

Answer 5

look carefully, at triangle, there is one angle thats same in both triangles NMP and PMN. wat is that same angle ?

Answer 6

2. \(\angle NMP \cong \angle NMT\) 2. same angle, By reflexive property of equaluty

Answer 7

3. \(\triangle NMP \sim \triangle PMN \) 3. By AA similarity

Answer 8

see if the proof makes sense

Answer 9

THANK YOU!!!! ^____^

Answer 10

np :)