Monicaa Abhijit Solutions for Chapter: Understanding Quadrilaterals, Exercise 3: EXERCISE 14.3

$\mathrm{TALK}$ is a parallelogram. Diagonals $\mathrm{AK}$ and $\mathrm{TL}$ meet at $\mathrm{O}$. $\mathrm{BX}$ is a line segement through $\mathrm{O}$. Give reasons for the following:

$\mathrm{OA}=\mathrm{OK}$

$\mathrm{TALK}$ is a parallelogram. Diagonals $\mathrm{AK}$ and $\mathrm{TL}$ meet at $\mathrm{O}$. $\mathrm{BX}$ is a line segement through $\mathrm{O}$. Give reasons for the following:

$\angle \mathrm{OAX}=\angle \mathrm{OKB}$

$\mathrm{TALK}$ is a parallelogram. Diagonals $\mathrm{AK}$ and $\mathrm{TL}$ meet at $\mathrm{O}$. $\mathrm{BX}$ is a line segement through $\mathrm{O}$. Give reasons for the following:

$\angle \mathrm{AOX}=\angle \mathrm{KOB}$

Diagonals $\mathrm{UK}$ and $\mathrm{HS}$ of a rhombus $\mathrm{HUSK}$ are of the length $10 \mathrm{cm}$ and $24 \mathrm{cm}$. Find its sides.

One diagonal of a rhombus is equal to its side. Find all the angles of the rhombus.

Find $x$ and $y$ for the parallelogram given below:

Some parallelograms are given below. Find $x$ and $y$.

A parallelogram is given below. Find $x$ and $y$.