Draw a triangle ABC with side BC = 7 cm,  Then, construct a triangle whose sides are \({4\over 3}\) times the corresponding sides of \(\triangle ABC\)

2

(a)

Construct a triangle ABC in which  \(AB=5\ cm, BC=6\ cm\) and \(AC=7cm.\) Construct another triangle similar to \(\triangle ABC\) such that its sides are \(3\over 5\) of the corresponding sides of \(\triangle ABC\).

2

(a)

Draw line segment AB of length 8 cm.  Taking A as centre, draw a circle of radius 4cm and taking B as centre, draw another circle of radius 3cm.  Construct tangents to each circle from the centre of the other circle.

2

(a)

Construct tangents to a circle of radius 3 cm from a point on concentric circle of radius 5 cm and measure its length.

2

(a)

Draw two tangents from the end points of the diameter of a circle of radius 3.5 cm. After these tangents parallel?

2

(a)

Draw an equilateral triangle of altitude 4 cm. Construct another triangle similar to it such that its sides are \(\frac { 2 }{ 3 } \) of the given triangle.

2

(a)

A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.

2

(a)

Write the two concepts used for justification in division of a line segment .

2

(a)

PQ is a line segment of length 6.4 cm. Geometrically, obtain point R on PQ such that \(\frac { QR }{ PQ } =\frac { 5 }{ 8 } \)

2

(a)

Draw a circle of radius 5 cm. Take a point P on it. Without using the centre of the circle, draw a tangent to the circle at point P.

2

(a)

To divide a line segment AB in the ratio 5 : 6, draw a ray AX such that \(\angle BAX\) is an acute angle. Then, draw a ray BY parallel to AX and the points A₁ , A₂ , A₃ ..... and B₁, B₂, B₃ are located at equal distances on rays AX and BY, respectively. Then, find the required joined points.

2

(a)

Draw a line segment of length 6 cm and divide it in the ratio 1 : 3. Measure the two parts.

2

(a)

Construct a triangle with sides 4 cm, 5 cm and 6 cm. Then, construct a similar triangle to it whose sides are \(\frac{2}{3}\) times of the corresponding sides of the given triangle.

2

(a)

Draw a circle of radius 1·5 cm. Take a point P outside it. Without using the centre draw two tangents to the circle from the point P

2

(a)