In the figure, AB || DC and ?B ? ?D. Prove that AD || BC

Prove the following statements using either a paragraph proof or a two-column proof. Be sure to justify your conclusions.




(Outline) ?BAC ? ?ACD (alternate interior angles) and AC ? AC. So ?ABC ? ?CDA by AAS. Then ?BCA ? ?CAD by C.P. and then AD || BC, since alternate interior angles are congruent.

Mathematics

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What will be an ideal response?

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Mathematics