Abcd is a trapezoid with bc ∥ ad and ∠bad ≅ ∠cda. which of the following statements are valid conclusions? select true or false for each statement.

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a. △aed ≅ △cda
a true b false
b. △bad ≅ △cda
a true b false
c. ab ≅ bc
a true b false

From trapezoid ABCD, with BC║AD and ∠BAD≡∠CDA, then:

a] ΔAED is not similar to ΔCDA this is because ΔAED is an isosceles triangle because ∠BAD≡∠CDA, but ΔCDA is not isposceles, thus they cannot be similar.

b]ΔBAD≡ΔCDA, this is true because, the ratio of the corresponding sides are equal since they have the same angle properties in that they share similar angles.

c] AB is not similar to BC, this is because BC=CE≠AE