The proof that ABCD is a parallelogram is as given in the 6 statements and Reasons below.
How to carry out two column proofs?
According to properties of Parallelogram side, The opposite sides of a parallelogram are equal and parallel to each other.
We are given that, ABCD is a parallelogram.
Thus;
Statement 1; ∠BAC = ∠DCA
Reason 1; Alternate interior angles.
Statement 2; AB||CD and BC||DA.
Reason 2; Properties of Parallelogram
Statement 3; ∠BCA = ∠DAC.
Reason 3; Alternate interior angles.
Statement 4; AC = AC
Reason 4; Reflexive Property
Statement 5; ΔABC ≅ ΔCDA
Reason 5; ASA congruency Postulate.
Statement 6; AB ≅ CD and BC = DA
Reason 6; CPCTC
Read more about two column proofs at; https://brainly.com/question/1788884
#SPJ1
