# MCQs for Mathematics Class 9 with Answers Chapter 7 Triangles

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Triangles with answers provided here which is an important chapter in Class 9 Mathematics NCERT textbook. These MCQ for Class 9 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 9 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming Class 9 Mathematics examination

## Chapter 7 Triangles MCQ with Answers Class 9 Mathematics

MCQ Questions Class 9 Mathematics Triangles provided below have been prepared by expert teachers of grade 9. These objective questions with solutions are expected to come in the upcoming Standard 9 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question. In the given figure, DE ∥ BC, BP and CP are bisectors of ∠B and ∠C respectively. If BD = 2 cm and CE = 3 cm, then DE is equal to

(a) 3 cm
(b) 2 cm
(c) 5 cm
(d) 7 cm

C

Question. Choose the correct option:
(a) A triangle has two right angles.
(b) All angles of a triangle are more than 60°.
(c) An exterior angle of a triangle is always greater than opposite interior angle.
(d) All the angles of a triangle are less than 60°.

C

Question. The sides of a triangle are of length 7 cm and 3.5 cm. The length of the third side cannot be
(a) 3.6 cm
(b) 4.1 cm
(c) 3.4 cm
(d) 3.8 cm

C

Question. In triangles ABC and DEF, ∠A = ∠D, ∠B = ∠E and AB = EF, then are the two triangles congruent? If yes, by which congruency criterion?
(a) yes by AAS
(b) no
(c) yes by ASA
(d) yes by RHS

B

Question. ABCD is a square. P is the mid-point of AB and Q is the mid-point of BC. If PD and AQ intersect at O, then the measure of ∠POQ is

(a) 100°
(b) 90°
(c) 75°
(d) 60°

B

Question. In DABC and DPQR, AB = AC, ∠C = ∠P and ∠B = ∠Q.
The two triangles are
(a) isosceles but not necessarily congruent.
(b) neither congruent nor isosceles.
(c) isosceles and congruent.
(d) congruent but not isosceles.

A

Question. ABCD is a square. P, Q and R are points on the sides AB, BC and CD such that AP = BQ = CR and ∠PQR = 90°. Then, the measure of ∠RPQ is

(a) 60°
(b) 30°
(c) 45°
(d) 75°

C

Question. In triangles ABC and DEF, AB = DF and ∠A = ∠D. The two triangles will be congruent by SAS axiom if
(a) BC = DE
(b) AC = EF
(c) BC = EF
(d) AC = DE

D

Question. Which of the following is not a criterion for congruence of triangles?
(a) SAS
(b) SSA
(c) ASA
(d) SSS

B

Question. It is given that ΔABC ≅ ΔFDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?
(a) DF = 5 cm, ∠F = 60°
(b) DE = 5 cm, ∠E = 60°
(c) DF = 5 cm, ∠E = 60°
(d) DE = 5 cm, ∠D = 40°

C

Question. In DPQR if ∠R > ∠Q then
(a) QR > PR
(b) PQ > PR
(c) PQ < PR
(d) QR < PR

B

Question. In the given figure, if AB = 3 cm and AC = 5 cm,then CD is equal to

(a) 4 cm
(b) 2 cm
(c) 3 cm
(d) 5 cm

A

Question. In the given figure, ∠B < ∠A and ∠D > ∠C, then

C

Question. Two angles measure (30 – a)° and (125 + 2a)°. If each one is a supplement of the other then the value of a is
(a) 45°
(b) 25°
(c) 35°
(d) 65°

B

Question. In right ΔABC, right angled at B, ∠ACB is twice ∠CAB (as shown in the figure). If BC = 2 cm, then hypotenuse AC is equal to

(a) 3 cm
(b) 4 cm
(c) 5 cm
(d) 6 cm

B

Question. In DABC, if BC = AB and ∠B = 80° then ∠A will be equal to
(a) 80°
(b) 40°
(c) 50°
(d) 100°

C

Question. ABC is a triangle in which AB = AC. D is any point on AB. Through D, a line parallel to AC intersects BC at E.If DB = 1.5 cm, then DE is equal to

(a) 3 cm
(b) 2 cm
(c) 2.5 cm
(d) 1.5 cm

D

Question. In the given figure, if AB = 7.5 cm, BC = 5 cm and CA = 6.3 cm, then x, y, z arranged in ascending order are

(a) x < z < y.
(b) y < x < z.
(c) x < y < z.
(d) z < y < x.

D

Question. In the given figure, if ∠P = 25°, then the measure of ∠R is

(a) 25°
(b) 50°
(c) 75°
(d) 60°

C

Question. In the given figure, BD ⊥ AC and CE ⊥ AB. If BD = CE = 3.5 cm and AB = 5 cm, then the measure of AC is

(a) 3.5 cm
(b) 4.5 cm
(c) 5 cm
(d) 5.5 cm