Complete the two-column proof

Question

Given: triangle SVX is congruent to triangle UTX and Line SV is || to line TU

 

Prove: VUTS is a parallelogram

 

Image: It's a parallelogram, with one line going from corner S to corner U and a line going from corner T to corner V. X being the center. If you draw this out corner S is at the Top Left-Hand corner with V being at the Top Right-hand corner. T being at the bottom left-hand corner and U at the bottom right-hand corner. And again X being in the center. That's has much as I can possibly describe this picture.

 

Statements:

 

1. Triangle SVX is congruent to triangle UTX

 

2. __________

 

3.__________

 

4. VUTS is a parallelogram

 

Reasons:

 

1. Given

 

2. Given

 

3. _________

 

4. _________

 

I already have statement 2 which is Line SV || line TU. However that's as far as I've gotten. Can someone please help me understand this. Thank you and God Bless!

 

Note: If you need anymore details let me know and I'll see if i can describe what you may need.

Answer 1

Here are some ideas.

How can you prove that ST is congruent to VU?

Look up the definition of a parallelogram.

 

I hope this gives you a place to start moving forward on this proof. Email me through Wyzant if you are still stuck.

 

Tami O.