Prove that opposite sides of a parallelogram are congruent. Be sure to create and name the appropriate geometric figures.

Question

anonymous · Answer

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anonymous · Answer

ok?

campbell_st · Answer

well I'd say you need to prove it using congruent triangles... so you need to draw a diagonal.

anonymous · Answer

ok then what?

campbell_st · Answer

then use the property of congruent shapes... corresponding sides in congruent triangles are equal.

anonymous · Answer

ok cool! thanks! #DRAGONSFORLIFE!!

anonymous · Answer

wait, wats the proprty of congruent shapes?

anonymous · Answer

god this is harder than dragon eggs coated in a foot of diamond

anonymous · Answer

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anonymous · Answer

The diagonal is congruent to both triangles. Opposite angles are congruent.  So now you know a side and one angle. To use the AAS theorem, you need one more congruent angle. 

Hint, the word parallel in parallelogram and the diagonal.