use given figure and Isosceles Triangle Thm to prove....

[geometrygirl16]

I can't seem to figure out how to solve my geometry proofs. I'm going to explain this as best as I can:

There is one triangle inside another triangle. The points are labelled K at the top of the triangle, M and N as the two end points of the regular triangle, then the 2 points between M and N are labeld P dn Q. Segment MP is congruent to Segment QN and angle KQP is congruent to angle KPQ.

How do I PROVE that triangle MNK is isoceles?

P.S. There is triangle MNK, inside of that is triangle PKQ, using the top point as only one and it has two lines coming down between M and N.

I really hope I explained this clearly enough. My teacher said that I have to use the Isosceles Triangle Theorem, but I know how to do that.

 

[pka]

We need to see a diagram.
Look at http://www.freemathhelp.com/msgboard-images.html

 

[Denis]

“A mathematician is a blind man in a dark room looking for a black hat which is isn’t there”. Charles Darwin

pka, Charley D also said at one time: I'll be a monkey's uncle! :roll:

 

[TchrWill]

There is one triangle inside another triangle. The points are labelled K at the top of the triangle, M and N as the two end points of the regular triangle, then the 2 points between M and N are labeld P dn Q. Segment MP is congruent to Segment QN and angle KQP is congruent to angle KPQ.

How do I PROVE that triangle MNK is isoceles?

P.S. There is triangle MNK, inside of that is triangle PKQ, using the top point as only one and it has two lines coming down between M and N.

I really hope I explained this clearly enough. My teacher said that I have to use the Isosceles Triangle Theorem, but I know how to do that.

First draw your picture.

.............K
............/.\
........../.....\
......../.........\
....../.............\
..../. ...............\
../___._____.___\
.M....P........Q.....N

Draw lines KP and KQ

1--/_KPQ = /_KQP
...................../\
2--Therefore, /_\ KPQ is isosceles.
3--MP = QN
4--Therefore, /_KMN = /_\KNM
...................../\
5--Therefore, /_\KMN is also isosceles.