S.N. Chhibber Solutions for Chapter: Construction of Quadrilaterals, Exercise 3: Revision Time

Construct a rectangle $\mathrm{ABCD}$ if: $\mathrm{AB}=5.5 \mathrm{cm} \mathrm{and} \mathrm{BC}=4.5 \mathrm{cm}$.

Draw a square whose diagonal measure is $8.2\mathrm{cm}.$

Construct a parallelogram of diagonals $8.2 \mathrm{cm}$ and $11.9 \mathrm{cm}$ and one angle between them is $22.5°.$

Construct a rhombus $\mathrm{ABCD}$ when $\mathrm{AB}=2.3 \mathrm{cm}, \mathrm{\angle }\mathrm{A}=22.5°$

Construct a rhombus $\mathrm{ABCD}$ when $\mathrm{AB}=5.9 \mathrm{cm}, \mathrm{BD}=6.3 \mathrm{cm}$.

Construct a trapezium $\mathrm{ABCD}$, where $\mathrm{AB}\parallel \mathrm{CD}$, $\mathrm{AB}=\mathrm{BC}=4 \mathrm{cm}$, $\mathrm{AD}=6.4 \mathrm{cm}$, $\mathrm{CD}=9.5 \mathrm{cm}$ and $\angle \mathrm{D}=60°$.

Construct a quadrilateral $\mathrm{ABCD}$ when $\mathrm{BC}=6 \mathrm{cm},$ $\mathrm{CD}=5 \mathrm{cm}, \mathrm{\angle }\mathrm{B}=60°, \mathrm{\angle }\mathrm{C}=90° \mathrm{and} \mathrm{\angle }\mathrm{D}=120°.$ Find $\mathrm{\angle }\mathrm{A}.$

Construct a quadrilateral $PQRS$ when $\mathrm{PQ}=4.5 \mathrm{cm}, \mathrm{QR}=4 \mathrm{cm}, \mathrm{RS}=3.9 \mathrm{cm}, \mathrm{PS}=3.2 \mathrm{cm} \text{and} \mathrm{\angle }\mathrm{Q}=60°$.