kfsteph22
Answered

I need some help with a Geometry proof. I'm lost...

Provide the missing reasons for the proof of part of the triangle midsegment theorem.

Given: K is the midpoint of MJ

L is the midpoint of NJ

Prove:

MN=2KL

Can you give me a word bank or something for a two column proof?

Verified Answer :

MissPhiladelphia

Statement - Reason
1. K is the midpoint of MJ - 1. Given
2. L is the midpoint of NJ - 2. Given
3. Angle MJK = Angle LJN - 3. Identity
4. Line segment LK is parallel to MN - 4. Triangle midsegment theorem
5. Angle JKL = Angle JMN, and Angle JLK = Angle JNMN - 5.Transversal
6. Triangle JKL is similar to Triangle JMN - 6. AAA similarity theorem
7. JM = 2JK - 7. Statement 1
8. MN=2KL - 9. Statement 7 and 6

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