Question

Hi there, I need help solving a proof.

I put all my answers in for the blank spaces, but number 4 I can't get. If someone could help that would be great.


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

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: ?

For number four, I'm not sure what the answer is. can anyone help?

Answer 1

Angles SVT = UTV
side TV common
sides SV=UT
Triangles SVT and UTV are congruent (SAS).
Therefore SV and UT are parallel, similarly ST and UV are parallel => parallelogram.

Answer 2

I'm still a bit confused, because I have everything except for number four. All the other questions I understand. I just don't know what you are talking about because what would 'VUTS is a parallelogram' be? @ScarlettFarra2000

Answer 3

Here is the file.

Answer 4

Would I just say it's a parallelogram?

Answer 5

It's a parallelogram because the diagonals bisect each other. Since SVX=UTX we know that the corresponding parts of congruent triangles are congruent therefore the diagonals bisect each other.

Answer 6

Is that what I would put? Is there any fancy term that I should say?

Answer 7

Would it just be, 'Diagonals bisect each other'.

Answer 8

I'm sure sure what term you sure use

Answer 9

I totally get what you're saying, I'm just wondering if there's a term for it at all?

Answer 10

Alright awesome, thank you so much!

Answer 11

yw