R K Bansal Solutions for Exercise 2: EXERCISE

Using Ruler and Compass only, Construct the Quadrilateral $ABCD,$ the dimensions of quadrilateral is given as$AB=5 \text{cm}, BC=2.5\text{ cm}, CD=6\text{ cm}, \angle BAD=90°\text{ and the diagonal} AC=5.5 \text{cm}$

Using Ruler and Compass only, Construct the Trapezium $ABCD,$ in which the parallel sides $AB$ and $DC$ are $3.3\text{ cm}$ apart,$AB=4.5 \text{cm}, BC=3.6\text{ cm}, \angle A=120°$ and angle $B$ is Obtuse.

Using Ruler and Compass only, Construct the Quadrilateral $ABCD,$ the dimensions of quadrilateral is given as$AB=5 \text{cm}, BC=2.5\text{ cm}, CD=6\text{ cm}, \angle BAD=90°\text{ and the diagonal} BD=5.5 \text{cm}$

Using Ruler and compasses only, construct a parallelogram $ABCD$, using the given following dimensions, $AB=6\text{ cm}, AD=3 \text{cm}, \angle DAB=45°.$ If the bisector of $\angle DAB$ meets $DC$ at $P$, prove that the angle $APB$ is right-angled triangle.

The perpendicular distances between the pair of opposite sides of the parallelogram $ABCD$ are $3\text{ cm}$ and $4 \text{cm}$, one of its angles measures $60°$. With the given dimensions using ruler and compasses only, construct the figure of parallelogram $ABCD$.

Draw the figure of Parallelogram $ABCD$ with the following data given, $AB=6 cm, AD=5 cm, \angle DAB=45°.$ Let the sides $AC$ and $DB$ meet at point $O$ and let $E$ be the mid-point of $BC$. Join $OE.$ Prove that $OE\parallel AB.$

Draw the figure of Parallelogram $ABCD$ with the following data given, $AB=6 cm, AD=5 cm, \angle DAB=45°.$ Let the sides $AC$ and $DB$ meet at point $O$ and let $E$ be the mid-point of $BC$. Join $OE.$ Prove that $OE=\frac{1}{2}AB.$

By Using ruler and compasses only, construct the figure of rectangle $ABCD$ and given each of the diagonals measures $6 \text{cm}$ and the diagonals intersect at an angle of $45°.$