Question

Given: AD∥BC and AB∥CD
Prove: AD≅BC and AB≅CD

Answer 1

I’m guessing SSS because they are both sharing the side in the middle

Answer 2

BC || AD and AB || CD (given)

∠BCA ≅ ∠DAC 2. As alt.interior angles with parallel lines

∠BAC ≅ ∠DCA 3. As alt.interior angles with parallel lines

AC ≅ AC (identity)

△ABC ≅ △CDA (ASA)

AB = CD (CPCT C)