Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac{3}{5}\) of the corresponding sides of the triangle PQR (scale factor \(\frac { 3 }{ 5 } <1\)) 

Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 7 }{ 4 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 7 }{ 4 } \)>1)

Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 2 }{ 3 } \) of the corresponding sides of the triangle PQR (scale factor \(\frac { 2 }{ 3 } <1\)).

Construct a triangle similar to a given triangle LMN with its sides equal to \(\frac { 4 }{ 5 } \) of the corresponding sides of the triangle LMN (scale factor \(\frac { 4 }{ 5 }<1\)).

Construct a triangle similar to a given triangle ABC with its sides equal to \(\frac { 6 }{ 5 } \) of the corresponding sides of the triangle ABC (scale factor \(\frac { 6 }{ 5 } >1\)).

Construct a triangle similar to a given triangle PQR with its sides equal to \(\frac { 7 }{ 3 } \) of thecorresponding sides of the triangle PQR (scale factor\(\frac { 7 }{ 3 } >1\))

Draw a triangle ABC of base BC = 8 cm, \(\angle\)A = 60^o and the bisector of \(\angle\)A meets BC at D such that BD = 6 cm.

Construct a △PQR which the base PQ = 4.5 cm,∠R = 35^oand the median RG  from R to PG is 6 cm

Construct a \(\triangle\)PQR in which QR = 5 cm, \(\angle\)P = 40^o and the median PG from P to QR is 4.4 cm. Find the length of the altitude from P to QR.

Construct a \(\triangle\)PQR such that QR = 6.5 cm,\(\angle\)P = 60^oand the altitude from P to QR is of length 4.5 cm.

Construct a \(\triangle\)ABC such that AB = 5.5 cm, \(\angle\)C = 25^o and the altitude from C to AB is 4 cm.

Draw a triangle ABC of base BC = 5.6 cm, \(\angle\)A = 40^o and the bisector of \(\angle\)A meets BC at D such that CD = 4 cm.

Draw \(\angle\)PQR such that PQ = 6.8 cm, vertical angle is 50° and the bisector of the vertical angle meets the base at D where PD = 5.2 cm.

Draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.

Draw a circle of radius 4 cm. At a point L on it draw a tangent to the circle using the alternate segment.

Draw a circle of diameter 6 cm from a point P, which is 8 cm away from its centre. Draw the two tangents PA and PB to the circle and measure their lengths.

Draw a tangent at any point R on the circle of radius 3.4 cm and centre at P ?

Draw a circle of radius 4.5 cm. Take a point on the circle. Draw the tangent at that point using the alternate segment theorem.

Draw the two tangents from a point which is 10 cm away from the centre of a circle of radius 5 cm. Also, measure the lengths of the tangents.

Take a point which is 11 cm away from the centre of a circle of radius 4 cm and draw the two tangents to the circle from that point.

Draw the two tangents from a point which is 5 cm away from the centre of a circle of diameter 6 cm. Also, measure the lengths of the tangents

Draw a tangent to the circle from the point P having radius 3.6 cm, and centre at O. Point P is at a distance 7.2 cm from the centre.

A circle ls touching the side BC of a \(\triangle\)ABC at P and touching AB and AC produced at Q and R. Prove that \(\left.A Q=\frac{1}{2} \text { (Perimeter of } \triangle A B C\right)\)