Theorems Related to Quadrilaterals

Prove diagonals of rhombus are perpendicular to each other.

Prove that diagonals of rectangle are of equal length.

Prove that each of the angles of a square is a right angle and each of the four sides is of same length.

Prove: Each of the four sides of rhombus is of same length.

Prove that each of the four angles of a rectangle is a right angle.

Given an isosceles trapezoid $TRAP$ with $\angle T=115°$, if $k°$ is the value of $\angle A$, then find the value of $k$.

Given an isosceles trapezoid with $\angle B=38°$, find the missing angles.

The base angles of an isosceles trapezoid are equal.

If the length of parallel sides of a parallelogram is $\mathrm{m}$ and $\mathrm{n}$, each, then the perimeter is equal to:

The interior opposite angles of a parallelogram are:

Observe the kite given below and answer the following question:

If $\angle KJM=130°$, then find the value of $\angle KLM$.

Observe the kite given below and answer the following question:

If $\angle KJM=120°$, then find the value of $\angle KLM$.

Why every parallelogram is not a trapezium.

In a quadrilateral $ABCD$, $AB=CD$ and $\angle B=\angle C$. Prove that $AD\parallel BC$.

The angles at the end points of the parallel sides of an isosceles trapezium are _____.

The diagonals of a trapezium divide each other into proportional segments.

$ABCD$ is a rhombus such that one of its diagonals is equal to its side. Then the angles of rhombus $ABCD$ are