Please refer to the MCQ Questions for Class 9 Mathematics Chapter 7 Triangles with Answers. The following Triangles Class 9 Mathematics MCQ Questions have been designed based on the latest syllabus and examination pattern for Class 9. Our experts have designed MCQ Questions for Class 9 Mathematics with Answers for all chapters in your NCERT Class 9 Mathematics book.

## Triangles Class 9 MCQ Questions with Answers

See below Triangles Class 9 Mathematics MCQ Questions, solve the questions and compare your answers with the solutions provided below.

**Question. In the given figure, ΔABC ~ ΔDCB, then**

AB × DB =

(A) OA × OD

(B) OB × OC

(C) AB × DC

(D) DC × AC

## Ans.

D

**Question.** In rhombus ABCD, AB^{2} + BC^{2} + CD^{2} + DA^{2} =

(A) OA^{2} + OB^{2 }

(B) OB^{2} + OC^{2}

(C) OC^{2} + OD^{2}

(D) AC^{2} + BD^{2}

## Ans.

D

**Question.** In the given figure, ∠BAC = ∠ADC, then CA/CB is

(A) CB × CD

(B) CA^{2}

(C) DC/AC

(D) CD^{2}

## Ans.

C

**Question.** P and Q are points on sides AB and AC respectively of DABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, then BC =

(A) PQ

(B) 2PQ

(C) 3PQ

(D) 4PQ

## Ans.

C

**Question.** In the given figure, AD ⊥ BC, BE ⊥ AC, CF ⊥ AB, then AF^{2} + BD^{2} + CE^{2} =

(A) OA^{2} + OB^{2} + OC^{2}

(B) OD^{2} + OE^{2} + OF^{2}

(C) AB^{2} + BC^{2} + AC^{2}

(D) AE^{2} + BF^{2} + CD^{2}

## Ans.

D

**Question.****ABC is right triangle, right angled at C. If p is the length of the perpendicular from C to AB and a, b, c have the usual meaning, then 1/a ^{2} + 1/b^{2}**

(A) 1/p^{2}

(B) 2/p^{2}

(C) p^{2}

(D) 2p^{2}

## Ans.

A

**Question.** In the given ΔABC, AD ⊥ BC and ∠A is right angled. Then AD^{2} =

(A) AB × AC

(B) BD × CD

(C) BC × AC

(D) AB × BC

## Ans.

B

**Question.** ΔABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm. If ΔDEF ~ ΔABC and EF = 4 cm, then perimeter of ΔDEF is

(A) 7.5 cm

(B) 15 cm

(C) 22.5 cm

(D) 30 cm

## Ans.

B

**Question.** In the given figure, ∠ABC = 90° and BD ⊥ AC. If BD = 8 cm, AD = 4 cm, then CD =

(A) 16 cm

(B) 14 cm

(C) 15 cm

(D) 17 cm

## Ans.

A

**Question**. In the given trapezium ABCD, AB||CD and AB = 2CD. If area of ΔAOB = 84 cm^{2}, then the area of ΔCOD is

(A) 22 sq.cm

(B) 25 sq.cm

(C) 21 sq.cm

(D) 24 sq.cm

## Ans.

C

**Question.** If a tree casts a 18 feet shadow and at the same time, a child of height 3 feet casts a 2 feet shadow, then the height of the tree is

(A) 27 feet

(B) 32 feet

(C) 45 feet

(D) 36 feet

## Ans.

A

**Question.** Two poles of height 9 m and 14 m stand on a plane ground. If the distance between their feet is 12 m, then the distance between their tops is

(A) 13 m

(B) 12 m

(C) 14 m

(D) 15 m

## Ans.

A

**Question.** A 12 cm rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.

(A) 75 cm

(B) 96 cm

(C) 48 cm

(D) 60 cm

## Ans.

C

**Question.** An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1/2X1 hours?

(A) 300 √67 km

(B) 400 √61 km

(C) 200 √61 km

(D) 300 √61 km

## Ans.

D

**Question.** Mason Construction wants to connect two parks on opposite sides of town with a road. Surveyors have laid out a map as shown. The road can be built through the town or around town through point R. The roads intersect at a right angle at point R. The line joining Park A to Park B is parallel to the line joining C and D.

(i) What is the distance between the parks through town?

(ii) What is the distance from Park A to Park B through point R?

(i) (ii)

(A) 9 m 13 m

(B) 8 m 12.5 m

(C) 8.75 m 12 m

(D) 9 m 14 m

## Ans.

C

**Question.** In the given figure, ABC is a right triangle right-angled at B. AD and CE are the two medians drawn from A and C respectively. If AC = 5 cm and AD = 3 √5 / 2 cm, then the length of CE is

(A) 4 cm A

(B) 2 5cm

(C) 3 5cm

(D) 5 cm

## Ans.

B

**Question.** Match the following

(A) (P)→(1), (Q)→(2), (R)→(3), (S)→(4)

(B) (P)→(2), (Q)→(1), (R)→(3), (S)→(4)

(C) (P)→(4), (Q)→(2), (R)→(1), (S)→(3)

(D) (P)→(3), (Q)→(1), (R)→(4), (S)→(2)

## Ans.

B

**Question.** Which of the following statements is CORRECT?

(A) The ratio of the areas of two similar triangles is equal to the ratio of their corresponding sides.

(B) If a line is drawn parallel to one side of the triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio.

(C) All similar figures are congruent.

(D) If in two triangles, two angles of one triangle is equal to the two angles of the other triangle then two triangles may or may not be congruent.

## Ans.

B

**Question** P and Q are the mid-points of the sides CA and CB respectively of a ΔABC, right angled at C, then find :

(i) 4AC^{2 }+ BC^{2}

(ii) 4BC^{2} + AC^{2}

(iii) 4(AQ^{2} + BP^{2})

(i) (ii) (iii)

(A) 4AQ^{2} 4BP^{2} 5AB^{2}

(B) 5AQ^{2 }5BP^{2 }4AB^{2}

(C) 4AQ^{2} 5BP^{2} 5AB^{2}

(D) 5AQ^{2} 4BP^{2} 4AB^{2}

## Ans.

A

**Question.** In the given figure, the line segment XY is parallel to side AC of ΔABC and it divides the triangle into two parts of equal area. Then, find

**(i) AX : AB (ii) AC/XY****(i) (ii)**(A) (2 + √2): 2 √2 − 2

(B) (2 − √2): 2 √2 −1

(C) (2 − √3): 3 3

(D) (2 + √2): 3 √2 − 3

## Ans.

B