Question

if the diagonals of a Quadrilateral bisect each other then the quadrilateral is a parallelgram.

true or false

Answer 1

True


I marked the segments that are equal. You know opposite angles in the center are congruent because they are vertical angles. Therefore the triangles opposite each other are congruent from SAS. Because they opposite triangles are congruent, you know that the opposing sides are congruent, which is means it is a parallelogram