Rupesh Pathak and Vaishali Bhatia Solutions for Chapter: Construction of Quadrilaterals, Exercise 4: Exercise 10.2

Construct the following, if possible.
A trapezium $\mathrm{MNOP}$ in which $\mathrm{MN}\parallel \mathrm{PO}, \angle \mathrm{M}=60°, \mathrm{MN}=2.8 \mathrm{cm}, \mathrm{PM}=4.2 \mathrm{cm}, \angle \mathrm{O}=125°$

A trapezium$\mathrm{ABCD}$  in which the parallel side $\mathrm{AB}$ and $\mathrm{CD}$ are $6 \mathrm{cm}$ and $7.5 \mathrm{cm}$, respectively. One of the non parallel side $\mathrm{BC}$ is $2.5 \mathrm{cm}$ and other is double of $\mathrm{BC}$. Also, $\angle C=45°$.

Construct a parallelogram in which two adjacent sides are of length $5.5 \mathrm{cm} \mathrm{and} 4 \mathrm{cm}$ and diagonal is of length $6.5 \mathrm{cm}$.

Construct a rectangle in which a diagonal of length equal to $10 \mathrm{cm}$ and the longer side of length $8 \mathrm{cm}$.

Construct a rhombus whose diagonals are $8.5 \mathrm{cm}$ and $6.2 \mathrm{cm}$.

Construct a square in which a diagonal of length $9 \mathrm{cm}$.

Construct a rectangle in which one side of length is $6 \mathrm{cm}$ and the other side is $1.5$ times the first side.

Construct a rhombus with side of length $6.5 \mathrm{cm}$ and one of the angle is $60°.$