Question

I have to prove that ABCD is a parellogram. I am given that triangle ABC and CDA are congruent, how can I make this a proof?

Answer 1

@mloup

If you post a diagram, I may be able to help.

Answer 2

Given: △ABC ≅ △CDA ; Quad ABCD
Prove: Quad ABCD is a Parallelogram

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Statements
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1. Quad ABCD
2. △ABC ≅ △CDA
3. <BAC ≅ <DCA
4. Segment AB || Segment CD
5. <BCA ≅ < DAC
6. Segment BC || Segment AD
7. Quadrilateral ABCD is a Parallelogram

@mloup Look over these steps and see if they are okay.
You task is to write the reasons.

If you post the reasons, I will help you check them, okay?