O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Exercise 3: Exercise

Construct a quadrilateral $\mathrm{ABCD}$, when $\mathrm{AB}=4 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}, \mathrm{CD}=\mathrm{DA}=5.2 \mathrm{cm}$ and $\mathrm{AC}=8 \mathrm{cm}$.

Construct a quadrilateral $\mathrm{PQRS}$, where $\mathrm{PQ}=3.5 \mathrm{cm}, \mathrm{QR}=5.5 \mathrm{cm}, \mathrm{QS}=5.5 \mathrm{cm}, \mathrm{PS}=4.5 \mathrm{cm}$ and $\mathrm{SR}=4.5 \mathrm{cm}$. Measure $\mathrm{PR}$.

Construct a quadrilateral $\mathrm{ABCD}$, when $\mathrm{AB}=5 \mathrm{cm}, \mathrm{BC}=4.2 \mathrm{cm}, \mathrm{AD}=3.3 \mathrm{cm}, \mathrm{AC}=5.5 \mathrm{cm}$ and $\mathrm{BD}=4.8 \mathrm{cm}$. Measure side $\mathrm{CD}$ .

Construct a quadrilateral $\mathrm{ABCD}$, in which $\mathrm{AB}=\mathrm{BC}=4 \mathrm{cm}, \mathrm{AD}=\mathrm{CD}=6 \mathrm{cm}$ and $\angle ABC=120°$.

Construct a quadrilateral $\mathrm{ABCD}$, in which $\mathrm{AB}=4.6 \mathrm{cm}, \mathrm{BC}=6.5 \mathrm{cm}, \mathrm{CD}=6 \mathrm{cm}, \angle \mathrm{B}=130°$ and $\angle C=75°$.

Construct a quadrilateral $\mathrm{PQRS}$, where $\mathrm{PQ}=3.8 \mathrm{cm}, \mathrm{QR}=6.8 \mathrm{cm}, \angle \mathrm{P}=\angle \mathrm{R}=105°$ and $\angle S=75°$.

Using ruler and compasses only construct the quadrilateral $\mathrm{ABCD}$ having given $\mathrm{AB}=5 \mathrm{cm}, \mathrm{BC}=2.5 \mathrm{cm}, \mathrm{CD}=6 \mathrm{cm}, \angle \mathrm{BAD}=90°$ and the diagonal $\mathrm{AC}=5.5 \mathrm{cm}$.

Draw a quadrilateral $\mathrm{ABCD}$ with $\mathrm{AB}=6 \mathrm{cm}, \mathrm{BC}=4 \mathrm{cm}, \mathrm{CD}=4 \mathrm{cm}$, and $\angle \mathrm{ABC}=\angle \mathrm{BCD}=90°$.