Mathematics, 16.08.2020 01:01 officialrogerfp3gf2s
Given: AE โ CE ; DE โ BE Prove: ABCD is a parallelogram. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. Line segments A E and E C are congruent. Line segments D E and E B are congruent. We have that AB || DC. By a similar argument used to prove that โณAEB โ โณCED, we can show that โณ โ โณCEB by. So, โ CAD โ โ by CPCTC. Therefore, AD || BC by the converse of the theorem. Since both pair of opposite sides are parallel, quadrilateral ABCD is a parallelogram.
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Given: AE โ
CE ; DE โ
BE Prove: ABCD is a parallelogram. Parallelogram A B C D is shown. Diagonals a...
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