The diagonals of an isosceles trapezium 

$\mathrm{SIDE}$ is a kite in which diagonals $\mathrm{SD}$ and $\mathrm{EI}$ intersect at point $\mathrm{O}$. Give reasons for the following:

$\angle \mathrm{DEO}=\angle \mathrm{SEO}$

In an isosceles trapezium $ABCD$, find the length of $AB$. Give reason for your answer.

$\mathrm{TURN}$ is a kite in which diagonals $\mathrm{TR}$ and $\mathrm{NU}$ intersects at point $\mathrm{O}$. Find the value of $x$ and $y$

Which of the following is true for a kite?

Identify all the quadrilaterals that have four right angles.