S Purkayastha Solutions for Chapter: Revision Exercise – 3, Exercise 1: Exercise 1

In the following figure, $PQRS$ a parallelogram, $\angle ORQ=25°$ and $\angle OPQ=45°$, find $\angle PQR$.

Construct a quadrilateral $ABCD$ such that $AB=BC=5.5 \mathrm{cm}, CD=4 \mathrm{cm}, DA=6.3 \mathrm{cm}$ and $AC=9.4 \mathrm{cm}$. Measure $BD$.

Construct a parallelogram $PQRS$ such that $PQ=5.2 \mathrm{cm}, PR=6.8 \mathrm{cm}$ and $QS=8.2 \mathrm{cm}$.

Construct a rhombus $ABCD$ with side $4.7 \mathrm{cm}$ and $\angle BCD=60°$.

Construct a quadrilateral $EFGH$ in which $EF=5 \mathrm{cm}, FG=4 \mathrm{cm}, GH=6 \mathrm{cm}, \angle F=40°$ and $\angle G=140°$. Measure $EH$.

Construct a square whose diagonal is $7.2 \mathrm{cm}$.

A polyhedron has $10$ edges and $6$ vertices. How many faces does the polyhedron have?

How many vertices, faces and edges does an octagonal pyramid have?