Telangana Board Solutions for Chapter: Quadrilaterals, Exercise 3: EXERCISE

In the adjacent figure $\mathrm{ABCD}$ is a parallelogram and $\mathrm{ABEF}$ is a rectangle show that $\mathrm{\Delta AFD}\cong \mathrm{\Delta BEC}$.

Show that the diagonals of a rhombus divide it into four congruent triangles.

In a quadrilateral $\mathrm{ABCD}$, the bisector of $\angle \mathrm{C}$ and $\angle \mathrm{D}$ intersect at $\mathrm{O}$.

Prove that $\angle \mathrm{COD}=\frac{1}{2}(\angle \mathrm{A}+\angle \mathrm{B})$.