SOLUTION: I need help please! Thanks! http://www.math.info/image/419/parallelogram.jpg (Using the link above is what it looks like) Given: parallelogram EFGH, with diagonals EG and HF

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Question 1014614: I need help please! Thanks!
http://www.math.info/image/419/parallelogram.jpg
(Using the link above is what it looks like)
Given: parallelogram EFGH, with diagonals EG and HF
Prove: triangle EFK = triangle GHK
***On my paper A is E, B is F, D is H, C is G and E is K*****
*The pic is for a visual*
Found 2 solutions by ikleyn, solver91311:
Answer by ikleyn(53938) (Show Source):
You can put this solution on YOUR website!
.
1. Write an adequate text.

2. Take off the link to the picture - it doesn't help.

3. We do not need to know what is written in your article.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Use the following theorems:

Theorem 1: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.

Theorem 2: Vertical angles are congruent

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EFGH is a parallelogram -- Given

K bisects EG by Theorem 1.

EK is congruent to KG by definition of bisector

K bisects FH by Theorem 1

FK is congruent to KH by definition of bisector

Angle EKF is congruent to angle HKG by Theorem 2

Triangle EFK is congruent to triangle GHK by SAS.

QED

John

My calculator said it, I believe it, that settles it