Triangles (MCQs)

1.) D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is

(A) 2.5
(B) 3
(C) 5
(D) 6

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

(A) 9 cm
(B) 10 cm
(C) 8 cm
(D) 20 cm

3.) If ∆ABC~∆EDF and ∆ABC is not similar to ∆DEF, then which of the following is not true?

(A) BC . EF = A C. FD
(B) AB . EF = AC . DE
(C) BC . DE = AB . EF
(D) BC . DE = AB . FD

4.) If in two triangles ABC and PQR, AB/QR = BC/PR = CA/PQ ,then

(A) ∆PQR ~ ∆CAB
(B) ∆PQR ~ ∆ABC
(C) ∆CBA ~ ∆PQR
(D) ∆BCA ~ ∆PQR

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

(A) EF/PR = DF/PQ
(B) DE/PQ = EF/RP
(C) DE/QR = DF/PQ
(D) EF/RP = DE/QR

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

(A) congruent but not similar
(B) similar but not congruent
(C) neither congruent nor similar
(D) congruent as well as similar

7.) It is given that ∆ABC ~ ∆PQR, with BC/QR = 1/3. Then, ar(PRQ)/ar(BCA) is equal to

(A) 9
(B) 3
(C)1/3
(D) 1/9

8.) 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:

(A) DE = 12 cm, ∠F = 50°
(B) DE = 12 cm, ∠F = 100°

9.) If in triangles ABC and DEF, AB/DE = BC/FD, then they will be similar, when

(A) ∠B = ∠E
(B) ∠A = ∠D

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

(A) 10 cm
(B) 12 cm
(C)20/3 cm
(D) 8 cm

11.) If S is a point on side PQ of a ∆PQR such that PS = QS = RS, then

(A) PR.QR = RS²

(B) QS² + RS² = QR²

(D) PS² + RS² = PR²

1.) B 2.) B 3.) C 4.) A 5.) B 6.) B 7.) A 8.) B 9.) C 10.) A 11.) C

Class 10

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Triangles (MCQs)