Given: ABCD is a parallelogram
Prove: △ABC≅△CDA
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Mathematics, 03.11.2020 01:30, marine7643
Given: ABCD is a parallelogram
Prove: △ABC≅△CDA
image 703c2467c02f41d1b8639f7ce8c86513
Based on the information shown above, Brandon started to write the proof below.
Statements Reasons
1) ABCD is a parallelogram 1) Given
2) 2) Opposite sides of a parallelogram are congruent.
3) 3) When a transversal crosses parallel lines, alternate interior angles are congruent.
4) 4) Reflexive Property
5)△ABC≅△CDA 5) SAS Postulate
In order to show that △ABC≅△CDA according to the reasons provided, which THREE statements listed below will Brandon need to use to complete his proof?
A.
∠ABC≅∠CDA
B.
∠BAC≅∠DCA
C.
BC≅AD
D.
∠BCD≅∠DAB
E.
AB≅CD
F.
AC≅CA
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