# MCQs for Mathematics Class 9 with Answers Chapter 8 Quadrilaterals

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Quadrilaterals 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 8 Quadrilaterals MCQ with Answers Class 9 Mathematics**

MCQ Questions Class 9 Mathematics Quadrilaterals 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. The diagonals AC and BD of a parallelogram ABCD intersect each other at point O. If ∠BOA = 68° and ∠CAD = 25°, then ∠DBC is equal to**

(a) 40°

(b) 43°

(c) 68°

(d) 25°

## Answer

B

**Question. In a quadrilateral, three angles are in the ratio 3 : 3 : 1 and the fourth angle is 80°, then the other angles are**

(a) 100°, 100°, 80°

(b) 120°, 120°, 40°

(c) 100°, 110°, 70°

(d) 110°, 110°, 60°

## Answer

B

**Question. ABCD is a parallelogram. If its diagonals are equal, then the measure of ∠ABC is**

(a) 60°

(b) 90°

(c) 75°

(d) 120°

## Answer

B

**Question. The sides of a quadrilateral are extended in order to form exterior angles.The sum of these exterior angles is**

(a) 360°

(b) 270°

(c) 90°

(d) 180°

## Answer

A

**Question. ABCD is a parallelogram. If ∠A = (3x – 20)° and ∠C = (x + 40)°, then the value of x is**

(a) 30

(b) 40

(c) 50

(d) 60

## Answer

A

**Question. In a quadrilateral ABCD, if AB = BC and CD = DA, then quadrilateral ABCD is a**

(a) trapezium

(b) rhombus

(c) kite

(d) parallelogram

## Answer

C

**Question. P and Q are the mid-points of the sides AB and AC of ΔABC and O is any point on side BC. O is joined to A. If S and R are the mid-points of OB and OC respectively, then PQRS is**

(a) a square

(b) a rectangle

(c) a rhombus

(d) a parallelogram

## Answer

D

**Question. ABCD is a rhombus in which altitude from D to side AB bisects AB. Then the angles of the rhombus are**

(a) 100°, 80°, 100°, 80°

(b) 110°, 70°, 110°, 70°

(c) 120°, 60°, 120°, 60°

(d) 130°, 50°, 130°, 50°

## Answer

C

**Question. If bisectors of ∠P and ∠Q of a quadrilateral PQRS intersect each other at A, of ∠Q and ∠R at B, of ∠R and ∠S at C and of ∠S and ∠P at D, then ABCD is a**

(a) rectangle

(b) rhombus

(c) parallelogram

(d) quadrilateral whose opposite angles are supplementary

## Answer

D

**Question. ABCD is a parallelogram. P and Q are respectively the mid-points of AB and CD. PQ and diagonal AC intersect at M. If AM = 3 cm, then the length of diagonal AC is**

(a) 3 cm

(b) 4.5 cm

(c) 6 cm

(d) 7.5 cm

## Answer

C

**Question.** ABCD is a rhombus in which ∠BCD = 100°, then (x + y) equals

(a) 40°

(b) 60°

(c) 80°

(d) 70°

## Answer

C

**Question. PQRS is a parallelogram. A and B are respectively the mid-points of sides PQ and SR. AS and BQ meet the diagonal PR of length 12 cm at C and D respectively. Then, the length of CD is**

(a) 6 cm

(b) 3 cm

(c) 4 cm

(d) 5 cm

## Answer

C

**Question. D and E are the mid-points of the sides AB and AC respectively of ΔABC.DE is produced to F. To prove that DA is equal and parallel to FC, we need an additional information, which is**

(a) ∠DAE = ∠EFC

(b) AE = EF

(c) DE = EF

(d) ∠ADE = ∠ECF

## Answer

C

**Question. In a quadrilateral ABCD, AB ∥ DC and AD = BC = 5.5 cm, and one of the angles is 80°, then the other angles are**

(a) 90°, 90°, 100°

(b) 120°, 80°, 80°

(c) 80°, 100°, 100°

(d) 110°, 85°, 85°

## Answer

C

**Question. Diagonals AC and BD of a parallelogram ABCD intersect each other at O.If OA = 5 cm and OD = 4 cm, then the lengths of AC and BD respectively are**

(a) 5 cm, 4 cm

(b) 10 cm, 8 cm

(c) 2.5 cm, 2 cm

(d) 15 cm, 12 cm

## Answer

B

**Question. Which of the following is not true for a parallelogram?**

(a) Opposite sides are equal.

(b) Opposite angles are equal.

(c) Opposite angles are always bisected by the diagonals.

(d) Diagonals bisect each other.

## Answer

C

**Question. If the angle between two altitudes of a parallelogram through the vertex of an obtuse angle of the parallelogram is 60°, then the angles of the parallelogram are**

(a) 105°, 75°, 105°, 75°

(b) 115°, 65°, 115°, 65°

(c) 120°, 60°, 120°, 60°

(d) 110°, 70°, 110°, 70°

## Answer

C

**Question. Given a trapezium PQRS such that PQ = 12 cm, RS = 5 cm, PQ ∥ SR,PS = QR = 8 cm. If ∠R = 130°, then ∠P is**

(a) 130°

(b) 50°

(c) 150°

(d) 120°

## Answer

B

**Question. If the diagonals of a rhombus are 18 cm and 24 cm respectively, then its side is equal to**

(a) 16 cm

(b) 15 cm

(c) 20 cm

(d) 17 cm

## Answer

B

**Question. In parallelogram ABCD, AB = 3 cm and the diagonals AC and BD are 5.8 cm and 4.2 cm respectively. If the diagonals AC and BD intersect at O, then the perimeter of ΔAOB is**

(a) 10 cm

(b) 8.8 cm

(c) 7.2 cm

(d) 8 cm

## Answer

D

**Question. In a parallelogram, if ∠A = 60°, then ∠D is equal to**

(a) 110°

(b) 140°

(c) 120°

(d) 130°

## Answer

C

**Question. Four angles of a quadrilateral are (2x + 20)°, (3x – 30)°, (x + 10)° and (2x)°. Value of x is**

(a) 40

(b) 45

(c) 50

(d) 55

## Answer

B

**Question. In ΔABC, ∠A = 30°, ∠B = 40° and ∠C = 110°. Then, the angles of the triangle formed by joining the mid-point of the sides of this triangle are**

(a) 70°, 70°, 40°

(b) 60°, 40°, 80°

(c) 30°, 40°, 110°

(d) 60°, 70°, 50°

## Answer

C

**Question. In rhombus PQRS, PQ = 3x cm, QR = 2(x + 3) cm. Each side of the rhombus is**

(a) 17 cm

(b) 19 cm

(c) 18 cm

(d) 28 cm

## Answer

C

**Question. Given a quadrilateral ABCD such that ∠C = 90° and diagonal AC and BD bisect each other at right angles, then the quadrilateral is a**

(a) trapezium

(b) kite

(c) rectangle

(d) square

## Answer

D

**Question.. One angle of a quadrilateral is 114° and the remaining three angles are equal. Then, the measure of each of the three equal angles is**

(a) 82°

(b) 84°

(c) 86°

(d) 92°

## Answer

A

**Question. In a parallelogram PQRS, PQ = 9 cm and PS = 5 cm. The bisector of ∠P meets SR in A. PA and QR produced meet at B. Then, the length of RB is**

(a) 5 cm

(b) 4 cm

(c) 9 cm

(d) 6 cm

## Answer

B

**Question.** The value of x in the given figure is

(a) 10°

(b) 20°

(c) 30°

(d) 40°

## Answer

B

**Question. M is the mid-point of side CD of a parallelogram ABCD. A line through C parallel to MA intersects AB at P and DA produced at R. If DA = 3.5 cm, then the length of DR is**

(a) 3.5 cm

(b) 5 cm

(c) 7 cm

(d) 10.5 cm

## Answer

C

**Question. P is the mid-point of side BC of a parallelogram ABCD such that ∠BAP = ∠DAP. If AD = 10 cm, then length of CD is**

(a) 10 cm

(b) 5 cm

(c) 6 cm

(d) 8 cm

## Answer

B

**Question. ABCD is a trapezium in which AB ∥ DC. M and N are the mid-points of AD and BC respectively. If AB = 12 cm, MN = 14 cm, then the length of CD is**

(a) 16 cm

(b) 14 cm

(c) 12 cm

(d) 10 cm

## Answer

A

**Question. Three angles of a quadrilateral are 60°, 86° and 110°. The fourth angle is**

(a) 104°

(b) 124°

(c) 94°

(d) 84°

## Answer

A

**Question. The side AB of the parallelogram ABCD is produced to X and the bisector of ∠CBX meets DA produced and DC produced at E and F respectively. If DE = 10 cm, then the length of DF is**

(a) 5 cm

(b) 10 cm

(c) 7.5 cm

(d) 15 cm

## Answer

B

**Question. ABCD is a rectangle where BC = (4x – 5) cm and AD = (2x + 3) cm. Then, BC is**

(a) 11 cm

(b) 12 cm

(c) 10 cm

(d) 15 cm

## Answer

A

**Question. If an angle of a parallelogram is four-fifths of its adjacent angle, then the angles of the parallelograms are**

(a) 70°, 110°, 70°, 110°

(b) 80°, 100°, 80°, 100°

(c) 72°, 108°, 72°, 108°

(d) 60°, 120°, 60°, 120°

## Answer

B

We hope the above multiple choice questions for Class 9 Mathematics for Chapter 8 Quadrilaterals provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Quadrilaterals 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.