## AnaheimNena714 Given: will post Prove: VUTS is a parallelogram one year ago one year ago

1. AnaheimNena714

2. AnaheimNena714

Given: and

3. AnaheimNena714

4. AnaheimNena714

sorry GIVEN:line SVis parallel to line TU and triangle SVX is congruent to triangle UTX

5. tamtoan

from the triangle SVX congruent to UTX, what can you say about segment VX and TX, UX and SX ?

6. AnaheimNena714

their congruent?

7. tamtoan

yeah they are, since the 2 triangles are congruent...so VX = TX, and UX = SX ...now look at the 2 triangles VXU and SXT, what can you say about them? remember the opposite angle at point X

8. AnaheimNena714

can you do the two colum proof cuz thats how i have to do it plz

9. tamtoan

i guide you to solving that problem...so you have to put it down in your own words, whenever you answer you need to have a reason as to why they are...then you will know how to ..

10. AnaheimNena714

but how do i put it into a two column proof ive never known how to do that

11. mathstudent55

The definition of a parallelogam is that is is a quadrilateral with 2 pairs of opposite sides parallel. Definitions work two ways. If you are given a quadrilateral is a parallelogram then you know that the two pairs of opposite sides are parallel. If you have a quadrilateral in which you can show that both pairs of opposite sides are parallel, then you can conclude it's a parallelogram.

12. AnaheimNena714

so line VU is congruent to line ST (def. of parallelogram)

13. mathstudent55

Using the definition is only one way of proving a parallelogram. There are other ways. One of them is if you can show that one pair of opposite sides is both parallel and congruent.

14. AnaheimNena714

i just need this to be two column proof its the last one i need and i am finish its really stressing me out

15. mathstudent55

Remember, you are trying to prove VUTS is a parallelogram. You don't know yet that VUTS is a parallelogram. Since you are given that SV is parallel to TU, if you can prove that SV and TU are also congruent, the you'd have a pair of opposite sides that are both parallel and congruent and that will prove that VUTS is a parallelogram.

16. mathstudent55

This is why you're given that those trianlges are congruent. To show that the sides you need are congruent. Here's the proof

17. mathstudent55

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18. AnaheimNena714

ok so we no that line VX and TX are congruent because they are part of the two triangle that are congruent?

19. mathstudent55

|dw:1355379527892:dw|

20. AnaheimNena714

whats CPCTC?

21. mathstudent55

Corresponding parts of congruent triangles are congruent.

22. mathstudent55

|dw:1355379640466:dw|

23. mathstudent55

That's it

24. AnaheimNena714

thank you so much you deserve a medal:)

25. mathstudent55

thanks

26. AnaheimNena714

no thank u