# RD Sharma solutions for Mathematics for Class 9 chapter 13 - Quadrilaterals [Latest edition]

## Solutions for Chapter 13: Quadrilaterals

Below listed, you can find solutions for Chapter 13 of CBSE RD Sharma for Mathematics for Class 9.

Exercise 13.1Exercise 13.2Exercise 13.3Exercise 13.4Exercise 13.5Exercise 13.6
Exercise 13.1 [Page 4]

### RD Sharma solutions for Mathematics for Class 9 Chapter 13 Quadrilaterals Exercise 13.1 [Page 4]

Exercise 13.1 | Q 1 | Page 4

Three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle

Exercise 13.1 | Q 2 | Page 4

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral

Exercise 13.1 | Q 3 | Page 4

The angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13 Find all the angles of the quadrilateral.

Exercise 13.1 | Q 4 | Page 4

In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that

∠COD = 1/2 (∠A+ ∠B).

Exercise 13.2 [Pages 19 - 20]

### RD Sharma solutions for Mathematics for Class 9 Chapter 13 Quadrilaterals Exercise 13.2 [Pages 19 - 20]

Exercise 13.2 | Q 1 | Page 19

Two opposite angles of a parallelogram are (3x – 2)° and (50 – x)°. Find the measure of each angle of the parallelogram .

Exercise 13.2 | Q 2 | Page 20

If an angle of a parallelogram is two-third of its adjacent angle, find the angles of the parallelogram .

Exercise 13.2 | Q 3 | Page 20

Find the measure of all the angles of a parallelogram, if one angle is 24° less than twice the smallest angle

Exercise 13.2 | Q 4 | Page 20

The perimeter of a parallelogram is 22 cm .  If the longer side measures 6.5 cm what is the measure of the shorter side?

Exercise 13.2 | Q 5 | Page 20

In a parallelogram ABCD, ∠D = 135°, determine the measures of ∠A and ∠B

Exercise 13.2 | Q 6 | Page 20

ABCD is a parallelogram in which ∠A = 70°. Compute ∠B, ∠C and ∠D .

Exercise 13.2 | Q 7 | Page 20

In Fig. below, ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°. Compute

Exercise 13.2 | Q 8.1 | Page 20

The following statement are true  and false .

In a parallelogram, the diagonals are equal

Exercise 13.2 | Q 8.2 | Page 20

The following statement are true  and false.

In a parallelogram, the diagonals bisect each other.

Exercise 13.2 | Q 8.3 | Page 20

The following statement are true  and false .

In a parallelogram, the diagonals intersect each other at right angles .

Exercise 13.2 | Q 8.4 | Page 20

The following statement are true  and false .

In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

Exercise 13.2 | Q 8.5 | Page 20

The following statement are true  and false .

If all the angles of a quadrilateral are equal, it is a parallelogram .

Exercise 13.2 | Q 8.6 | Page 20

The following statement are true  and false .

If three sides of a quadrilateral are equal, it is a parallelogram .

Exercise 13.2 | Q 8.7 | Page 20

The following statement are true  and false .

If three angles of a quadrilateral are equal, it is a parallelogram .

Exercise 13.2 | Q 8.8 | Page 20

The following statement are true  and false .

If all the sides of a quadrilateral are equal it is a parallelogram.

Exercise 13.2 | Q 9 | Page 20

In Fig., below, ABCD is a parallelogram in which ∠A = 60°. If the bisectors of ∠A and ∠B meet at P, prove that AD = DP, PC = BC and DC = 2AD.

Exercise 13.2 | Q 10 | Page 20

In below fig. ABCD is a parallelogram and E is the mid-point of side B If DE and AB when produced meet at F, prove that AF = 2AB.

Exercise 13.3 [Pages 42 - 43]

### RD Sharma solutions for Mathematics for Class 9 Chapter 13 Quadrilaterals Exercise 13.3 [Pages 42 - 43]

Exercise 13.3 | Q 1 | Page 42

In a parallelogram ABCD, determine the sum of angles ∠C and ∠D .

Exercise 13.3 | Q 2 | Page 42

In a parallelogram ABCD, if ∠B = 135°, determine the measures of its other angles .

Exercise 13.3 | Q 3 | Page 42

ABCD is a square. AC and BD intersect at O. State the measure of ∠AOB.

Exercise 13.3 | Q 4 | Page 42

ABCD is a rectangle with ∠ABD = 40°. Determine ∠DBC .

Exercise 13.3 | Q 5 | Page 42

The sides AB and CD of a parallelogram ABCD are bisected at E and F. Prove that EBFD is a parallelogram.

Exercise 13.3 | Q 6 | Page 42

P and Q are the points of trisection of the diagonal BD of a parallelogram AB Prove that CQ is parallel to AP. Prove also that AC bisects PQ.

Exercise 13.3 | Q 7 | Page 43

ABCD is a square E, F, G and H are points on AB, BC, CD and DA respectively, such that AE = BF = CG = DH. Prove that EFGH is a square.

Exercise 13.3 | Q 8 | Page 43

ABCD is a rhombus, EABF is a straight line such that EA = AB = BF. Prove that ED and FC when produced meet at right angles

Exercise 13.3 | Q 9 | Page 43

ABCD is a parallelogram, AD is produced to E so that DE = DC and EC produced meets AB produced in F. Prove that BF = BC.

Exercise 13.4 [Pages 62 - 65]

### RD Sharma solutions for Mathematics for Class 9 Chapter 13 Quadrilaterals Exercise 13.4 [Pages 62 - 65]

Exercise 13.4 | Q 1 | Page 62

In a ∆ABC, D, E and F are, respectively, the mid-points of BC, CA and AB. If the lengths of side AB, BC and CA are 7 cm, 8 cm and 9 cm, respectively, find the perimeter of ∆DEF.

Exercise 13.4 | Q 2 | Page 62

In a triangle ∠ABC, ∠A = 50°, ∠B = 60° and ∠C = 70°. Find the measures of the angles of

the triangle formed by joining the mid-points of the sides of this triangle.

Exercise 13.4 | Q 3 | Page 63

In a triangle, P, Q and R are the mid-points of sides BC, CA and AB respectively. If AC =
21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.

Exercise 13.4 | Q 4 | Page 63

In a ΔABC median AD is produced to X such that AD = DX. Prove that ABXC is a
parallelogram.

Exercise 13.4 | Q 5 | Page 63

In a ΔABC, E and F are the mid-points of AC and AB respectively. The altitude AP to BC
intersects FE at Q. Prove that AQ = QP.

Exercise 13.4 | Q 6 | Page 63

In a ΔABC, BM and CN are perpendiculars from B and C respectively on any line passing
through A. If L is the mid-point of BC, prove that ML = NL.

Exercise 13.4 | Q 7 | Page 63

In Fig. below, triangle ABC is right-angled at B. Given that AB = 9 cm, AC = 15 cm and D,
E are the mid-points of the sides AB and AC respectively, calculate
(i) The length of BC (ii) The area of ΔADE.

Exercise 13.4 | Q 8 | Page 63

In Fig. below, M, N and P are the mid-points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, calculate BC, AB and AC.

Exercise 13.4 | Q 9 | Page 63

In Fig. below, AB = AC and CP || BA and AP is the bisector of exterior ∠CAD of ΔABC.
Prove that (i) ∠PAC = ∠BCA (ii) ABCP is a parallelogram

Exercise 13.4 | Q 10 | Page 63

ABCD is a kite having AB = AD and BC = CD. Prove that the figure formed by joining the
mid-points of the sides, in order, is a rectangle.

Exercise 13.4 | Q 11 | Page 64

Let Abc Be an Isosceles Triangle in Which Ab = Ac. If D, E, F Be the Mid-points of the Sides Bc, Ca and a B Respectively, Show that the Segment Ad and Ef Bisect Each Other at Right Angles.

Exercise 13.4 | Q 12 | Page 64

Show that the line segments joining the mid-points of the opposite sides of a quadrilateral
bisect each other.

Exercise 13.4 | Q 13.1 | Page 64

Fill in the blank to make the following statement correct

The triangle formed by joining the mid-points of the sides of an isosceles triangle is

Exercise 13.4 | Q 13.2 | Page 64

Fill in the blank to make the following statement correct:

The triangle formed by joining the mid-points of the sides of a right triangle is

Exercise 13.4 | Q 13.3 | Page 64

Fill in the blank to make the following statement correct:

The figure formed by joining the mid-points of consecutive sides of a quadrilateral is

Exercise 13.4 | Q 14 | Page 64

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively
intersecting at P, Q and R. Prove that the perimeter of ΔPQR is double the perimeter of
ΔABC

Exercise 13.4 | Q 15 | Page 64

In Fig. below, BE ⊥ AC. AD is any line from A to BC intersecting BE in H. P, Q and R are
respectively the mid-points of AH, AB and BC. Prove that ∠PQR = 90°.

Exercise 13.4 | Q 16 | Page 64

ABC is a triang D is a point on AB such that AD = 1/4 AB and E is a point on AC such that AE = 1/4 AC. Prove that DE = 1/4 BC.

Exercise 13.4 | Q 17 | Page 64

In below Fig, ABCD is a parallelogram in which P is the mid-point of DC and Q is a point on AC such that CQ = 1/4 AC. If PQ produced meets BC at R, prove that R is a mid-point of BC.

Exercise 13.4 | Q 18 | Page 64

In the below Fig, ABCD and PQRC are rectangles and Q is the mid-point of Prove thaT

i) DP = PC (ii) PR = 1/2 AC

Exercise 13.4 | Q 19 | Page 65

ABCD is a parallelogram, E and F are the mid-points of AB and CD respectively. GH is any line intersecting AD, EF and BC at G, P and H respectively. Prove that GP = PH

Exercise 13.4 | Q 20 | Page 65

BM and CN are perpendiculars to a line passing through the vertex A of a triangle ABC. If
L is the mid-point of BC, prove that LM = LN.

Exercise 13.5 [Pages 68 - 70]

### RD Sharma solutions for Mathematics for Class 9 Chapter 13 Quadrilaterals Exercise 13.5 [Pages 68 - 70]

Exercise 13.5 | Q 1 | Page 68

In a parallelogram ABCD, write the sum of angles A and B.

Exercise 13.5 | Q 2 | Page 68

In a parallelogram ABCD, if ∠D = 115°, then write the measure of ∠A.

Exercise 13.5 | Q 3 | Page 68

PQRS is a square such that PR and SQ intersect at O. State the measure of ∠POQ.

Exercise 13.5 | Q 4 | Page 68

If PQRS is a square, then write the measure of ∠SRP.

Exercise 13.5 | Q 5 | Page 68

If ABCD is a rhombus with ∠ABC = 56°, find the measure of ∠ACD.

Exercise 13.5 | Q 6 | Page 68

The perimeter of a parallelogram is 22 cm. If the longer side measures 6.5 cm, what is the measure of shorter side?

Exercise 13.5 | Q 7 | Page 68

If the angles of a quadrilateral are in the ratio 3 : 5 : 9 : 13, then find the measure of the smallest angle.

Exercise 13.5 | Q 8 | Page 68

In a parallelogram ABCD, if ∠A = (3x − 20)°, ∠B = (y + 15)°, ∠C = (x + 40)°, then find the values of xand y.

Exercise 13.5 | Q 9 | Page 69

If measures opposite angles of a parallelogram are (60 − x)° and (3x − 4)°, then find the measures of angles of the parallelogram.

Exercise 13.5 | Q 10 | Page 69

In a parallelogram ABCD, the bisector of ∠A also bisects BC at X. Find AB : AD.

Exercise 13.5 | Q 11 | Page 69

In the given figure, PQRS is an isosceles trapezium. Find x and y.

Exercise 13.5 | Q 12 | Page 69

In the given figure, ABCD is a trapezium. Find the values of x and y.

Exercise 13.5 | Q 13 | Page 69

In the given figure, ABCD and AEFG are two parallelograms. If ∠C = 58°, find ∠F.

Exercise 13.5 | Q 14.1 | Page 69

Complete the following statement by means of one of those given in brackets against each:

If one pair of opposite sides are equal and parallel, then the figure is ........................

• parallelogram

• rectangle

• trapezium

Exercise 13.5 | Q 14.2 | Page 69

Complete the following statement by means of one of those given in brackets against each:

If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is ................

• square

• rectangle

•  trapezium

Exercise 13.5 | Q 14.3 | Page 69

Complete the following statement by means of one of those given in brackets against each:

A line drawn from the mid-point of one side of a triangle .............. another side intersects the third side at its mid-point.

• perpendicular to parallel to

• to meet

Exercise 13.5 | Q 14.4 | Page 69

Complete the following statement by means of one of those given in brackets against each:

If one angle of a parallelogram is a right angle, then it is necessarily a .................

• rectangle

• square

• rhombus

Exercise 13.5 | Q 14.5 | Page 69

Complete the following statement by means of one of those given in brackets against each:

Consecutive angles of a parallelogram are ...................

• supplementary

• complementary

Exercise 13.5 | Q 14.6 | Page 69

Complete the following statement by means of one of those given in brackets against each:

If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily a ...............

• rectangle

• parallelogram

• rhombus

Exercise 13.5 | Q 14.7 | Page 69

Complete the following statement by means of one of those given in brackets against each:

If opposite angles of a quadrilateral are equal, then it is necessarily a ....................

• parallelogram

•  rhombus

•  rectangle

Exercise 13.5 | Q 14.8 | Page 69

Complete the following statement by means of one of those given in brackets against each:

f consecutive sides of a parallelogram are equal, then it is necessarily a ..................

• kite

• rhombus

• square

Exercise 13.5 | Q 15 | Page 69

In a quadrilateral ABCD, bisectors of angles A and B intersect at O such that ∠AOB = 75°, then write the value of ∠C + ∠D.

Exercise 13.5 | Q 16 | Page 69

The diagonals of a rectangle ABCD meet at O, If ∠BOC = 44°, find ∠OAD.

Exercise 13.5 | Q 17 | Page 70

If ABCD is a rectangle with ∠BAC = 32°, find the measure of ∠DBC.

Exercise 13.5 | Q 18 | Page 70

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that ∠C + ∠D = k ∠AOB, then find the value of k.

Exercise 13.5 | Q 19 | Page 70

In the given figure, PQRS is a rhombus in which the diagonal PR is produced to T. If ∠SRT = 152°, find x, y and z.

Exercise 13.5 | Q 20 | Page 70

In the given figure, ABCD is a rectangle in which diagonal AC is produced to E. If ∠ECD = 146°, find ∠AOB.

Exercise 13.6 [Pages 70 - 73]

### RD Sharma solutions for Mathematics for Class 9 Chapter 13 Quadrilaterals Exercise 13.6 [Pages 70 - 73]

Exercise 13.6 | Q 1 | Page 70

Mark the correct alternative in each of the following:
The opposite sides of a quadrilateral have

•  no common point

•  one common point

•  two common points

• infinitely many common points

Exercise 13.6 | Q 2 | Page 70

The consecutive sides of a quadrilateral have

•  no common point

• one common point

•  two common points

•  infinitely many common points

Exercise 13.6 | Q 3.1 | Page 71

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

∠P = 100°, ∠Q = 80°, ∠R = 95°

Exercise 13.6 | Q 3.2 | Page 71

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

∠P =85°, ∠Q = 85°, ∠R = 95°

Exercise 13.6 | Q 3.3 | Page 71

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

PQ = 7 cm, QR = 7 cm, RS = 8 cm, SP = 8 cm

Exercise 13.6 | Q 3.4 | Page 71

PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?

OP = 6.5 cm, OQ = 6.5 cm, OR = 5.2 cm, OS = 5.2 cm

Exercise 13.6 | Q 4 | Page 71

Which  of the following quadrilateral is not a rhombus?

• All four sides are equal

• Diagonals bisect each other

• Diagonals bisect opposite angles

• One angle between the diagonals is 60°

Exercise 13.6 | Q 5 | Page 71

Diagonals necessarily bisect opposite angles in a

• rectangle

• parallelogram

• isosceles trapezium

• square

Exercise 13.6 | Q 6 | Page 71

The two diagonals are equal in a

• parallelogram

•  rhombus

•  rectangle

• trapezium

Exercise 13.6 | Q 7 | Page 71

We get a rhombus by joining the mid-points of the sides of a

• parallelogram

• rhombus

• rectangle

• triangle

Exercise 13.6 | Q 8 | Page 71

The bisectors of any two adjacent  angles of a parallelogram intersect at

• 30°

• 45°

• 60°

• 90°

Exercise 13.6 | Q 9 | Page 71

The bisectors of the angle of a parallelogram enclose a

• parallelogram

•  rhombus

•  rectangle

• square

Exercise 13.6 | Q 10 | Page 71

The figure formed by joining the mid-points of the adjacent sides of a quadrilateral is a

• parallelogram

• rectangle

• square

• rhombus

Exercise 13.6 | Q 11 | Page 71

The figure formed by joining the mid-points of the adjacent sides of a rectangle is a

• square

• rhombus

• trapezium

• none of these

Exercise 13.6 | Q 12 | Page 71

The figure formed by joining the mid-points of the adjacent sides of a rhombus is a

•  square

• rectangle

• trapezium

• none of these

Exercise 13.6 | Q 13 | Page 71

The figure formed by joining the mid-points of the adjacent sides of a square is a

• rhombus

• square

• rectangle

• parallelogram

Exercise 13.6 | Q 14 | Page 71

The figure formed by joining the mid-points of the adjacent sides of a parallelogram is a

• rectangle

• parallelogram

• rhombus

• square

Exercise 13.6 | Q 15 | Page 71

If one angle of a parallelogram is 24° less than twice the smallest angle, then the measure of the largest angle of the parallelogram is

• 176°

• 68°

•  112°

• 102°

Exercise 13.6 | Q 16 | Page 71

In a parallelogram ABCD, if ∠DAB = 75° and ∠DBC = 60°, then ∠BDC =

• 75°

• 60°

•  45°

• 55°

Exercise 13.6 | Q 17 | Page 71

ABCD is a parallelogram and E and F are the centroids of triangles ABD and BCDrespectively, then EF =

• AE

• BE

• CE

• DE

Exercise 13.6 | Q 18 | Page 72

ABCD is a parallelogram, M is the mid-point of BD and BM bisects ∠B. Then ∠AMB =

• 45°

• 60°

• 90°

•  75°

Exercise 13.6 | Q 19 | Page 72

If an angle of a parallelogram is two-third of its adjacent angle, the smallest angle of the parallelogram is

• 108°

• 54°

• 72°

• 81°

Exercise 13.6 | Q 20 | Page 72

If the degree measures of the angles of quadrilateral are 4x, 7x, 9x and 10x, what is the sum of the measures of the smallest angle and largest angle?

• 140°

• 150°

• 168°

•  180°

Exercise 13.6 | Q 21 | Page 72

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

• 16 cm

• 15 cm

• 20 cm

• 17 cm

Exercise 13.6 | Q 22 | Page 72

ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC = 35°, then ∠ABC =

• 70°

• 110°

• 90°

• 120°

Exercise 13.6 | Q 23 | Page 72

In a rhombus ABCD, if ∠ACB = 40°, then ∠ADB =

•  70°

• 45°

• 50°

• 60°

Exercise 13.6 | Q 24 | Page 72

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

• 70°, 70°, 40°

• 60°, 40°, 80°

• 30°, 40°, 110°

• 60°, 70°, 50°

Exercise 13.6 | Q 25 | Page 72

The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB =

• 40°

• 50°

• 10°

• 90°

Exercise 13.6 | Q 26 | Page 72

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

• 10 cm

• 12 cm

• 14 cm

• 16 cm

Exercise 13.6 | Q 27 | Page 72

Diagonals of a quadrilateral ABCD bisect each other. If ∠A= 45°, then ∠B =

• 115°

• 120°

• 125°

• 135°

Exercise 13.6 | Q 28 | Page 72

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

• 5 cm

• 6 cm

• 8 cm

•  10 cm

Exercise 13.6 | Q 29 | Page 72

In ΔABC, E is the mid-point of median AD such that BE produced meets AC at F. IF AC = 10.5 cm, then AF =

•  3 cm

• 3.5 cm

• 2.5 cm

•  5 cm

Exercise 13.6 | Q 30 | Page 72

ABCD is a parallelogram and E is the mid-point of BC. DE and AB when produced meet at F. Then, AF =

• $\frac{3}{2}AB$

• 2 AB

• 3 AB

• $\frac{5}{4}AB$

Exercise 13.6 | Q 31 | Page 73

In a quadrilateral ABCD, ∠A + ∠C is 2 times ∠B + ∠D. If ∠A = 140° and ∠D = 60°, then ∠B=

• 60°

• 80°

• 120°

• 80°

• None of these

Exercise 13.6 | Q 32 | Page 73

The diagonals  AC and BD of a rectangle ABCD intersect each other at P. If ∠ABD = 50°, then ∠DPC =

•  70°

• 90°

• 80°

• 100°

## Solutions for Chapter 13: Quadrilaterals

Exercise 13.1Exercise 13.2Exercise 13.3Exercise 13.4Exercise 13.5Exercise 13.6

## RD Sharma solutions for Mathematics for Class 9 chapter 13 - Quadrilaterals

Shaalaa.com has the CBSE Mathematics Mathematics for Class 9 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. RD Sharma solutions for Mathematics Mathematics for Class 9 CBSE 13 (Quadrilaterals) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. RD Sharma textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Mathematics for Class 9 chapter 13 Quadrilaterals are Concept of Quadrilaterals - Sides, Adjacent Sides, Opposite Sides, Angle, Adjacent Angles and Opposite Angles, Angle Sum Property of a Quadrilateral, Types of Quadrilaterals, Theorem of Midpoints of Two Sides of a Triangle, Property: The Opposite Sides of a Parallelogram Are of Equal Length., Theorem: A Diagonal of a Parallelogram Divides It into Two Congruent Triangles., Theorem : If Each Pair of Opposite Sides of a Quadrilateral is Equal, Then It is a Parallelogram., Property: The Opposite Angles of a Parallelogram Are of Equal Measure., Theorem: If in a Quadrilateral, Each Pair of Opposite Angles is Equal, Then It is a Parallelogram., Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection), Theorem : If the Diagonals of a Quadrilateral Bisect Each Other, Then It is a Parallelogram, Another Condition for a Quadrilateral to Be a Parallelogram.

Using RD Sharma Mathematics for Class 9 solutions Quadrilaterals exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in RD Sharma Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics for Class 9 students prefer RD Sharma Textbook Solutions to score more in exams.

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