CBSE Class 9 Mathematics Triangles Assignment Set 03

Question. If ΔABC ≅ ΔPQR, which of the following is true?
(A) AB = RP
(B) CA = RP
(C) AC = RQ
(D) CB = QP
Answer : B

Question. Which of the following statements is true?
(A) Two line segments having the same length are congruent.
(B) Two squares having the same side length are congruent.
(C) Two circles having the same radius are congruent.
(D) All the above .
Answer : D

Question.  In the figure given, find ∠x.

(A) 40°
(B) 110°
(C) 45°
(D) 65°
Answer : C

Question. Which of the following statement(s) is/ are false?
(A) Two triangles having the same area are congruent.
(B) If two sides and one angle of a triangle are equal to the corresponding two sides and the angle of another triangle, then the two triangles are congruent.
(C) If the hypotenuse of one right triangle is equal to the hypotenuse of another triangle, then the triangles are congruent.
(D) All the above. 
Answer : D

Question. It is not possible to construct a triangle with which of the following sides?
(A) 8.3 cm , 3.4 cm , 6.1 cm
(B) 5.4 cm , 2.3 cm, 3.1 cm
(C) 6 cm, 7 cm, 10 cm
(D) 3 cm, 5 cm, 5 cm
Answer : B

Question.  In Δ LMN, if ∠M = 90°, which of the following is true?

(A) NL is the longest side.
(B) LM is the longest side.
(C) MN is the longest side.
(D) NL is the shortest side.
Answer : A

Question. In ΔABC, AB = 5 em, BC = 6 em and CA = 7 cm. Identify the relation between the angles.
(A) ∠B > ∠A > ∠C
(B) ∠A > ∠B > ∠C
(C) ∠B > ∠C > ∠A
(D) ∠B > ∠A > ∠C
Answer : A

Question. Which of the following is true about the difference of any two sides of a triangle?
(A) It is greater than the third side.
(B) It is zero.
(C) It is lesser than the third side
(D) It is lesser than zero.
Answer : C

Question. Which of the following is incorrect?
(A) If two triangles have their corresponding sides equal, then they are congruent.
(B) If two triangles have their corresponding angles equal, then they are congruent.
(C) If two circles have the same radii, then they are congruent.
(D) If two squares have the same length of their sides, then they are congruent .
Answer : B

Question. If ΔABC = 6 DEF by S.A.S. congruence rule, which of the following could be the equivalent measures?
(A) AB = DE, BC = EF, ∠B = ∠E
(B) AB = DE, BC = EF, ∠D = ∠A
(C) AB = DE, BC = EF, ∠C = ∠F
(D) AB = DE, BC = EF, CA = FD
Answer : A

Question. If ΔABC = ΔDEF by S.S.S. congruence rule, which of the following options holds true?
(A) ∠A > ∠D
(B) ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
(C) ∠B < ∠E
(D) ∠C = ∠F
Answer : B

Question. In ΔABD, if ∠B = ∠C, which of the following is true?
(A) BC = AB
(B) AC = BC
(C) AB = AC
(D) AB > AC
Answer : C

Question. In ΔABC, ∠A = 50°. ∠B = 60°. What is the ascending order of the sides of the triangle?
(A) AB < BC < CA
(B) CA < AB < BC
(C) BC < CA < AB
(D) BC < AB < CA
Answer : C

Question. A :Two triangles are said to be congruent if two sides and an angle of one triangle are respectively equal to the two sides and an angle of the other.
R :Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of the other. Which of the following statements is correct?
(A) A is false and R is the correct explanation of A.
(B) A is true and R is the correct explanation of A.
(C) A is true and R is false.
(D) A is false and R is false.
Answer : A

Question. In triangles ABC and DEF, AB = FD and ∠A = ∠D. Which of the following is true if the two t riangles are congruent by S.A.S. axiom?
(A) BC = EF
(B) AC = DE
(C) AC = EF
(D) BC = DE
Answer : B

Question. In ΔABC, if AB = BC, which of the following statements is necessarily true?
(A) ∠B = ∠C
(B) ∠A = ∠C
(C) ∠A = ∠B
(D) ∠A < ∠C
Answer : B

Question. In ΔDEF, which of the following statement s is true?
(A) DE + EF = FD
(B) DE + EF < FD
(C) DE > EF + FD
(D) DE + EF > FD
Answer : D

Question. An exterior angle of a triangle is 120° and the two interior opposite angles are equal.
Find the value of each interior angle.
(A) 60°
(B) 100°
(C) 120°
(D) 180°
Answer : A

Question. In a right triangle, the two acute angles are in the ratio 4 : 5. Find them respectively.
(A) 50°, 40°
(8) 40°, 50°
(C) 45°, 55°
(D) 30°, 60°
Answer : B

Question. Which of the following statements is correct?
(A) A triangle can have two right angles.
(8) A triangle can have two obtuse angles.
(C) A triangle can have all angles more than 60°.
(D) A triangle can have two acute angles.
Answer : D

Question. In ΔABC, if AB > BC, which of the following is true?
(A) ∠C < ∠A
(B) ∠C = ∠A
(C) ∠C > ∠A
(D) ∠A = ∠B
Answer : C

Question. ΔABC ≅ ΔPQR, if AB = 5 cm, ∠B = 40° and ∠A = 80°, which of the following is true?
(A) QP = 5 cm, ∠P = 60°
(B) QP = 5 cm, ∠R = 60°
(C) QP = 5 cm, ∠R = 60°
(D) QP = 5 cm, ∠Q = 40°
Answer : D

Question. In ΔABC, if AD is the perpendicular bisector of BC, which of the following is true?
(A) AB > AC
(B) AD= AB
(C) AB = AC
(D) AD = AC
Answer : C

Question. In the given figure, ABCD is a quadrilateral in which AB = BC and AD = DC

Find the measure of ∠BCD.
(A) 150°
(B) 30°
(C) 105°
(D) 72°
Answer : C

Question. If ΔABC ≅ ΔDEF by S.S.S. congruence rule, which of the following stat ements is true?
(A) AB = EF, BC = FD, CA = DE
(B) AB = FD, BC = DE, CA = EF
(C) AB = DE, BC = EF,CA = FD
(D) AB = DE, BC = EF, ∠C = ∠F
Answer : C

Question. In ΔABC, if ∠A= 50° and ∠B = 60°, what is the greatest side?
(A) AB
(B) BC
(C) AC
(D) Cant be detennined
Answer : A

Question. In ΔABC, if AD is a median, what is the relation between the sides?
(A) AB + AC > AD
(B) AB + AC < 2AD
(C) AB + AC = 2AD
(D) AB + AC > 2AD
Answer : D
 

Click on link below to download CBSE Class 9 Mathematics Triangles Assignment Set C