SELF TEST

1. Construct an isosceles triangle whose base is 9 cm and altitude is 8 cm. Then construct another triangle whose sides are 3/4 of the corresponding sides of the first isosceles triangle.(3 mk )

2. Draw a line segment AB of length 7 cm. Taking A as centre draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2.5 cm. Construct tangents to each circle from the centre of the other circle. (3 mk )

3. Construct a Δ ABC in which BC = 6.5 cm, AB = 4.5 cm and ∠ABC = 60°. Construct a triangle similar to this triangle whose sides are 3/4 of the corresponding sides of the Δ ABC. (3 mk )

4. Draw a right triangle in which sides (other than hypotenuse) are of lengths 8 cm and 6 cm. Then construct another triangle whose sides are 3/4 times the corresponding sides of the first triangle. (2 mk )

5. Construct a triangle with sides 4 cm, 5 cm and 7 cm. Then construct a triangle similar to it whose sides are 2/3 of the corresponding sides of the given triangle. (2 mk )

6. Construct a ΔABC in which AB = 6.5 cm, ∠B = 60° and BC = 5.5 cm. Also construct a triangle AB’C’ similar to Δ ABC whose each side is 3/2 times the corresponding side of the Δ ABC. (2 mk )

7. Draw a ΔABC with side BC = 6 cm, AB = 5 cm and ∠ABC = 60°. Construct ΔAB’C’ similar to Δ ABC such that sides of Δ AB’C” are 3/4 of the corresponding sides of Δ ABC. (2 mk )

8. Construct a triangle whose perimeter is 13.5 cm and the ratio of the three sides is 2 : 3 : 4. (3 mk )