Similarity

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Similarity

1. If in two triangles ABC and PQR,

2 points

∆PQR ~ ∆CAB

∆CBA ~ ∆PQR

∆PQR ~ ∆ABC

∆BCA ~ ∆PQR

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2. In ∆ABC and ∆DEF, ∠B = ∠E, ∠F = ∠C and AB = 3 DE. Then, the two triangles are

2 points

congruent but not similar

similar but not congruent

neither congruent nor similar

congruent as well as similar

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3. In the given figure, DE ‖ BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN = 24 cm.Find lengths of ME and DM.

2 points

4.2 cm, 10 cm

3.75 cm, 15 cm

3 cm, 15.2 cm

5 cm, 15 cm

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4. It is given that ∆ABC ~ ∆PQR with BC/QR=13 then ar(ΔPRQ) / ar(ΔBCA) equal to

2 points

1/3

1/9

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5. It is given that ∆ABC ~ ∆DFE, ∠A =30°, ∠C = 50°, AB = 5 cm, AC = 8 cm and DF= 7.5 cm. Then, the following is true

2 points

DE= 12 cm, ∠F= 50°

DE= 12 cm, ∠F= 100°

EF= 12 cm, ∠D = 30°

EF= 12 cm, ∠D = 100°

Clear selection

6. In the adjoining figure, PQ||BC, then the values of AQ and QC are

2 points

3 cm and 6 cm

2 cm and 6 cm

3 cm and 4 cm

1 cm and 6 cm

Clear selection

7. Find the value of x for which DE || AB in given figure

2 points

Clear selection

8. Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PQ = 3 RS. Find the ratio of the areas of ∆POQ and ∆ROS

2 points

3:1

5:2

2:5

9:1

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9. If ∆ABC ~ ∆DEF, AB = 4 cm, DE = 6 cm, EF = 9 cm and FD = 12 cm, find the perimeter of ∆ABC

2 points

18 cm

16 cm

25 cm

22 cm

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10. Corresponding sides of two similar triangles are in the ratio of 2 : 3. If the area of the smaller triangle is 48 cm2, find the area of the larger triangle.

2 points

108 cm²

98 cm²

74 cm²

115 cm²

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