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9 TRIANGLES (2.09.23)
Quiz 1 Class IX Made by Mrs. Pintu Prasad
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9 A
9 B
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1. If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ,then which of the following is not true:
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(A) BC = PQ
B) AC = PR
(C) QR = BC
(D) AB = PQ
2. Which of the following is not a criterion for congruence of triangles?
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(A) SAS
(B) ASA
(C) SSA
(D) SSS
3. If AB = QR, BC = PR and CA = PQ, then
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(A) ∆ ABC ≅ ∆ PQR
(B) ∆ CBA ≅ ∆ PRQ
(C) ∆ BAC ≅ ∆ RPQ
(D) ∆ PQR ≅ ∆ BCA
4. In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to
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(A) 40°
(B) 50°
(C) 80°
(D) 130°
5. In ∆ ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
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(A) 80°
(B) 40°
(C) 50°
(D) 100°
6. In ∆ PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is
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(A) 4 cm
(B) 5 cm
(C) 2 cm
(D) 2.5 cm
7. D is a point on the side BC of a ∆ ABC such that AD bisects ∠BAC. Then
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(A) BD = CD
(B) BA > BD
(C) BD > BA
(D) CD > CA
8. It is given that ∆ ABC ≅ ∆ FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
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(A) DF = 5 cm, ∠F = 60°
(B) DF = 5 cm, ∠E = 60°
(C) DE = 5 cm, ∠E = 60°
(D) DE = 5 cm, ∠D = 40°
9. Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
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(A) 3.6 cm
(B) 4.1 cm
(C) 3.8 cm
(D) 3.4 cm
10. In ∆ PQR, if ∠R > ∠Q, then
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(A) QR > PR
(B) PQ > PR
(C) PQ < PR
(D) QR < PR
11. In triangles ABC and PQR, AB = AC, ∠C = ∠P and ∠B = ∠Q. The two triangles are
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A) isosceles but not congruent
(B) isosceles and congruent
(C) congruent but not isosceles
(D) neither congruent nor isosceles
12. . In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
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(A) BC = EF
(B) AC = DE
(C) AC = EF
(D) BC = DE
13. In the given figure, AD is the median then ∠BAD is
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(a) 35°
(b) 70°
c) 110°
(d) 55°
14. In the given figure, find PM
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(a) 3 cm
(b) 5 cm
(c) 4 cm
(d) 2cm
15. In Fig., if l || m , then the value of x is
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(A) 60
(B) 80
(C) 40
(D) 140
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