91Ó°ÊÓ

Prove that both pairs of opposite sides of a parallelogram are congruent.

Prove that the diagonals of a parallelogram bisect each other

In parallelogram \(\mathrm{ABCD}\), if the measure of \(\angle \mathrm{B}\) exceeds the measure of \(\angle \mathrm{A}\) by \(50^{\circ}\), find the measure of \(\angle \mathrm{B}\).

If the diagonals of a parallelogram meet at right angles, prove that the parallelogram is a rhombus.

Prove that the lines joining the midpoints of a rectangle form a rhombus.

We are given rhombus ABCD with its diagonals drawn. F is the midpoint of \(\underline{D E}, G\) is the midpoint of \(\underline{B E}\) and \(H\) is a point on \(\underline{\mathrm{AE}} .\), Prove that \(\Delta \mathrm{FGH}\) is an isosceles triangle.

Prove that a rectangle is a parallelogram.

Given: \(\triangle \mathrm{ABC}\) with median \(\mathrm{BE} ; \mathrm{AE}=\mathrm{BE}\). Prove: \(\mathrm{m} \angle \mathrm{ABC}=90^{\circ}\).

Prove that the bisectors of the angles of a rectangle enclose a square