Given:In quadrilateral WXYZ , WY and XZ bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram.

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08-05-2018
Mathematics

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Given:In quadrilateral WXYZ , WY and XZ bisect each other at point A. Prove: Quadrilateral WXYZ is a parallelogram.

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sarkhan2018 sarkhan2018 · Answer 1 · 2018-05-16T21:37:18+02:00

sarkhan2018 sarkhan2018

16-05-2018

These bisectors intersect each-other at 90 degrees. And it means that they are perpendicular. Since they are perpendicular, we find that there 4 congruent triangles and XY is parallel to WZ and WX is parallel to YZ. Additionally, opposite angles are equal. These two latter findings are the characteristics of the parallelogram.

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