# 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

## Answer

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°.

## Answer

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

## Answer

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

## Answer

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°

## Answer

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.

## Answer

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°

## Answer

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

## Answer

D

**Question.** Which of the following is not a criterion for congruence of triangles?

(a) SAS

(b) SSA

(c) ASA

(d) SSS

## Answer

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°

## Answer

C

**Question.** In DPQR if ∠R > ∠Q then

(a) QR > PR

(b) PQ > PR

(c) PQ < PR

(d) QR < PR

## Answer

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

## Answer

A

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

(a) AD > BC

(b) AD = BC

(c) AD < BC

(d) AD = 2BC

## Answer

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°

## Answer

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

## Answer

B

**Question.** In DABC, if BC = AB and ∠B = 80° then ∠A will be equal to

(a) 80°

(b) 40°

(c) 50°

(d) 100°

## Answer

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

## Answer

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.

## Answer

D

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

(a) 25°

(b) 50°

(c) 75°

(d) 60°

## Answer

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

## Answer

C

We hope the above multiple choice questions for Class 9 Mathematics for Chapter 7 Triangles provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Triangles is an important chapter in Class 9 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of Class 9 students. Please go through these and let us know if you have any feedback in the comments section.