Given: ABCD is a trapezoid.
BA = CD
Prove: BD = CA

1) ABCD is a trapezoid = 1) given

2) Segment BA is congruent to Segment CD = 2) given

3) ABCD is an isosceles trapezoid = 3) def. of isosceles trapezoid

4) Segment AD is congruent to Segment AD = 4) reflexive property

5) Angle BAD is congruent to Angle CDA = 5) base angles theorem

6) Triangle BAD is congruent to Triangle CDA = 6) SAS

7) Segment BD is congruent to Segment CA = 7) CPCTC

Step-by-step explanation:

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step-by-step explanation:

a is the right answer