1.) If ∆ ABC ≅ ∆ PQR and ∆ ABC is not congruent to ∆ RPQ, then which of the following is not true:
(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?
(A) SAS
(B) ASA
(C) SSA
(D) SSS
3.) If AB = QR, BC = PR and CA = PQ, then
(A) ∆ ABC ≅ ∆ PQR
(B) ∆ CBA ≅ ∆ PRQ
(C) ∆ BAC ≅ ∆ RPQ
(D) ∆ PQR ≅ ∆ BCA
4.) 3. In ∆ ABC, AB = AC and ∠B = 50°. Then ∠C is equal to
(A) 40°
(B) 50°
(C) 80°
(D) 130°
5.) In ∆ ABC, BC = AB and ∠B = 80°. Then ∠A is equal to
(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
(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
(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?
(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
(A) 3.6 cm
(B) 4.1 cm
(C) 3.8 cm
(D) 3.4 cm
10.) In ∆ PQR, if ∠R > ∠Q, then
(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
(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
(A) BC = EF
(B) AC = DE
(C) AC = EF
(D) BC = DE
Answer Keys
1.) (A) BC = PQ
2.) (C) SSA
3.) (B) ∆ CBA ≅ ∆ PRQ
4.) (B) 50°
5.) (C) 50°
6.) (A) 4 cm
7.) (A) BD = CD
8.) (B) DF = 5 cm, ∠E = 60°
9.) (D) 3.4 cm
10.) (B) PQ > PR
11.) (A) isosceles but not congruent
12.) (B) AC = DE