Q. Construct an isosceles triangle whose base is $8cm$ and altitude $4cm$ and then another triangle whose sides are $1\frac{1}{2}$ times the corresponding sides of the isosceles triangle.

Q. Draw a $△ABC$ with side $BC=7cm$, $\angle B={45}^{\circ },\angle A={105}^{\circ }$. Then, construct a triangle whose sides are $\frac{4}{3}$ times the corresponding sides of $△ABC$.

Q. Draw a line segment of length $7.6cm$ and divide it in the ratio $5:8$.

Q. Construct a triangle of sides $4cm,5cm$ and $6cm$ and then a triangle similar to it whose sides are $\frac{2}{3}$ of the corresponding sides of the first triangle.

Q. Construct a triangle with sides $5cm,6cm$ and $7cm$ and then another triangle whose sides are $\frac{7}{5}$ of the corresponding sides of the first triangle.

Q.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths $4cm$ and $3cm$. Then construct another triangle whose sides are $\frac{5}{3}$ times the corresponding sides of the given triangle.

Q. Draw a triangle $ABC$ with side $BC=6cm,AB=5cm$ and $\angle ABC={60}^o$. Then construct a triangle whose sides are $\frac{3}{4}$ of the corresponding sides of the triangle $ABC$.

Q. Draw a circle of radius $3cm$. Take two points $P$ and $Q$ on one of its extended on both sides of its centre, each at a distance of $7cm$ on opposites of its centre. Draw tangents to the circle from each of these two points $P$ and $Q$

Q.

Draw a circle of radius $6cm$. From a point $10cm$ away from its centre, construct the pair of tangents to the circle and measure their lengths.

Q. Draw a pair of tangents to a circle of radius $5cm$ which are inclined to each other at an angle of ${60}^o$.

Q. Draw a line segment $AB$ of length $10cm$ with $A$ as centre and $4cm$ radius draw a circle and with $B$ as centre and $3cm$ radius draw another circle. Draw tangent from centre of each circle to the other circle.

Q.

Construct a tangent to a circle of radius $4cm$ from a point on the concentric circle of radius $6cm$ and measure its length. Also verify the measurement by actual calculation.

Q. Let $ABC$ be right triangle in which $AB=6cm,BC=8cm$ and $\angle B={90}^o$, $BD$ is the perpendicular from $B$ on $AC$. The circle through $B,C,D$ is drawn. Construct the tangents from $A$ to this circle.

Q. Draw a circle with the help of a bangle. Take a point $P$ outside the circle. Construct the pair of tangents from this point $P$ to the circle.