Jammu and Kashmir Board Solutions for Chapter: Practical Geometry, Exercise 1: THINK, DISCUSS AND WRITE

Aslam has five measurements of a quadrilateral $ABCD$. These are $AB=5 \mathrm{cm},\angle A=50°,AC=4 \mathrm{cm},BD=5 \mathrm{cm}$ and $AD = 6 \mathrm{cm}$. Can he construct a unique quadrilateral? Give reasons for your answer.

We saw that $5$ measurements of a quadrilateral can determine a quadrilateral uniquely. Do you think any five measurements of the quadrilateral can do this?

Can you draw a parallelogram $\mathrm{BATS}$ where $\mathrm{BA}=5 \mathrm{cm}$, $\mathrm{AT}=6 \mathrm{cm}$ and $\mathrm{AS}=6.5 \mathrm{cm}$? Why? 

Can you draw a rhombus $\mathrm{ZEAL}$ where $\mathrm{ZE}=3.5 \mathrm{cm}$, diagonal $\mathrm{EL}=5 \mathrm{cm}$? Why? 
 

A student attempted to draw a quadrilateral $PLAY$ given that $PL=3 \mathrm{cm},LA=4 \mathrm{cm},AY=4.5 \mathrm{cm},PY=2 \mathrm{cm}$ and $LY=6 \mathrm{cm}$
But he was not able to draw it. What is the reason?