Question

in quadrilateral ABCD shown the two diagonals AC and BD intersect at point EWhich of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?A) AC 1 BDB) AB CE and BE DEC) AB CD and BS CED)m ABC + m/BAD - 180

Answer 1

Given the quadilateral ABCD

Diagonals: AC and BD

Point of intersection of diagonals: E

Let's select the correct statement that proves that quadilateral ABCD is a parallelogram.

Since AC and BD intersects at point E it means the point divides each diagonal into 2 equal parts, we have:

AE ≅ EC and BE ≅ ED

Also, the sum of two adjacent angles in a parallelogram are