# Thread: Geometry, Triangle Proof!

1. ## Geometry, Triangle Proof!

Hey Guys!

I have a proof here with me and I just want to see if I am correct.

So we're trying to prove these triangles are congruent and then apply the CPCTC method to prove Segment FG is congruent to segment HJ.

This is what I have so far: (I mentioned HG is congruent to HG and KJ is congruent to KJ by Identity, but I'm not sure if I can conclude these triangles are congruent after that)

Proof and Reasons:

1) Angle 1 is congruent to Angle 2 ------- 1) Given
2) Line segment FH is congruent to Line segment HK --------- 2) The Midpoint of a line segment forms 2 congruent segments
3) Line segment HG is congruent to HG, line segment KJ is congruent to KJ ----------- 3) Identity
4) Triangle FHG is Congruent to Triangle HKJ ----------- 4) SAS
5) Line segment FG is congruent to Line segment HJ ------- 5) CPCTC

2. ## Re: Geometry, Triangle Proof!

∠ FHG= ∠ HKJ ------Given
FH = HK Because H is midpoint of FK
FG ∥HJ Given thus
∠ HFG = ∠ KHJ Corresponding angles
Hence the triangle FHG is congruent to HKJ by ASA criterion

3. ## Re: Geometry, Triangle Proof!

Hey ibdutt,

When 2 lines are parallel, are their sides also congruent? Or are the lines just parallel?

4. ## Re: Geometry, Triangle Proof!

A line cannot be measured and if we cannot measure we can't say that they are congruent. So the lines are parallel.

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