Given: ABCD is a parallelogram.


Prove: ∠A ≅ ∠C and ∠B ≅ ∠D


Parallelogram A B C D is shown.


By the definition of a ▱, AD∥BC and AB∥DC.


Using, AD as a transversal, ∠A and ∠

are same-side interior angles, so they are

. Using side

as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.


Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠

answers: d, supplementary, bc, d

Given ABCD is a parallelogramProve A C and B DParallelogram A B C D is shownBy the definition of a ADBC and ABDCUsing AD as a transversal A and are sameside int class=

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Answer:

Step-by-step explanation:

The diagram has been made as per the information provided in the question.

From the statements in the question we can see that:[

1] is the angle 

[2] is Supplementary

[3] is the segment bcThus, the above are the words or names that correctly fill in the blanks to complete the proof.

Answer:

E2020

Step-by-step explanation:

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