1. D is a point on side QR of ΔPQR such that PD ⊥ QR. Will it be correct to say that ΔPQD ~

ΔRPD? Why?

2. If ΔABC ~ΔDFE, ∠A = 30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and OF = 7.5 cm. Then, which

of the following is true?

3. Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle?

4. If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of

the other triangle. Can you say

that two triangles will be similar?

5. In figure, BD and CE intersect each other at the point P. Is ΔPBC ~ ΔPDE?

6. Is it true to say that, if in two triangles, an angle of one triangle is equal to an angle of

another triangle and two sides of one triangle are proportional to the two sides of the other

triangle, then the triangles are similar?

7. If in two Δ AB/QR = BC/PR = CA/PQ, then

8. In Δ ABC and ΔDEF, ∠B = ∠E, ∠F = ∠C and AB = 30E Then, the two triangles are

9. In figure, two line segments AC and BD intersect each other at the point P such that PA = 6

cm, PB = 3 cm, PC = 2.5 cm, PD = 5 cm, ∠APB = 50° and ∠CDP = 30°. Then, ∠PBA is

equal to

10. In figure, if ∠BAC =90° and AD⊥BC. Then,

11. A and B are respectively the points on the sides PQ and PR of a ΔPQR such that PQ = 12.5

cm, PA = 5 cm, BR = 6 cm and PB = 4 cm. Is AB || QR ?

12. The ratio of the corresponding altitudes of two similar triangles is . Is it

correct to say that ratio of their areas is 6/5 ?

13. If ΔABC ~ ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?

14. It is given that ΔDEF ~ ΔRPQ. Is it true to say that ∠D = ∠R and ∠F = ∠P ? Why?

15. If ∆ABC ~∆QRP, ar(∆ABC)/ar(∆PQR) = 9/4, AB = 18 cm and BC = 15cm , then PR is

16. If the lengths of the diagonals of rhombus are 16 cm and 12 cm. Then, the length of the

sides of the rhombus is

17. Is the following statement true? Why? “Two quadrilaterals are similar, if their corresponding angles are equal”.

18. Two sides and the perimeter of one triangle are respectively three times the corresponding

sides and the perimeter of the other triangle. Are the two triangles similar?

19. If in two Δ DEF and Δ PQR,∠D =∠Q and ∠R = ∠E,then which of the following is not true?

20. If in ΔABC and ΔDEF, , then they will be similar, when