Given: Triangle SVX is congruent to triangle UTX and Line SV is parallel to line TU.

Question

Prove: VUTS is a parallelogram.

Statement : Reason.
1. Tri SVX is congruent to Tri UTX. Reason: Given.

2. Line SV is parallel to line TU.
Reason: Given

3. Line SV is congruent to line TV.
Reason: CPOCTAC.

4. VUTS is a parallelogram.
Reason: ?

I figured all the rest of the questions out in this proof. But for number 4 I don't understand what to put. If someone would help that would be great. Thank you!

Answer 1

proof

Answer 2

4. Given

Answer 3

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Answer 4

What is 6 ?

Answer 5

1. Given 5. Given
2. SV // TU 6. Given
3. SV ≅ TU 7. Corresponding part of congruent
4, Given 8. Definition of parallelogram