1. If △ ABC ~ △ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.

2. O is the point of intersection of two equal chords AB and CD such that OB = OD, then triangles OAC and ODB are

3. In the figure, PB and QA are perpendicular to segment AB. If OA = 5 cm, PO = 7cm and area (ΔQOA) = 150 cm2, find the area of ΔPOB.

4. Two isosceles triangles have equal angles and their areas are in the ratio 16: 25. The ratio of corresponding heights is:

5. In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of QR?

6. The lengths of the diagonals of a rhombus are 16 cm and 12cm. Then, the length of the side of the rhombus is

7. A tower of height 24m casts a shadow 50m and at the same time, a girl of height 1.8m casts a shadow. Find the length of the shadow of girl.

8. If the distance between the top of two trees 20 m and 28 m tall is 17 m, then the horizontal distance between the trees is :

9. A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then the distance by which the top of the ladder would slide upwards on the wall is:

10. △ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.△ DEF is similar to △ABC.
If EF = 4 cm, then the perimeter of △DEF is –
(A) 7.5 cm
(B) 15cm
(C) 30cm
(D) 22.5cm