#### Chapters

Chapter 2: Parallel lines and transversals

Chapter 3: Indices and Cube root

Chapter 4: Altitudes and Medians of a triangle

Chapter 5: Expansion formulae

Chapter 6: Factorisation of Algebraic expressions

Chapter 7: Variation

Chapter 8: Quadrilateral : Constructions and Types

Chapter 9: Discount and Commission

Chapter 10: Division of Polynomials

Chapter 11: Statistics

Chapter 12: Equations in one variable

Chapter 13: Congruence of triangles

Chapter 14: Compound interest

Chapter 15: Area

Chapter 16: Surface area and Volume

Chapter 17: Circle : Chord and Arc

## Chapter 8: Quadrilateral : Constructions and Types

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 8 Quadrilateral : Constructions and Types Exercise Practice Set 8.1 [Page 43]

Construct the following quadrilateral of given measures.

In ☐ MORE, l(MO) = 5.8 cm, l(OR) = 4.4 cm, m∠M = 58°, m∠O = 105°, m∠R = 90° .

Construct the following quadrilateral of given measures.

Construct ☐ DEFG such that l(DE) = 4.5 cm, l(EF) = 6.5 cm, l(DG) = 5.5 cm, l(DF) = 7.2 cm, l(EG) = 7.8 cm.

Construct the following quadrilateral of given measures.

In ☐ ABCD l(AB) = 6.4 cm, l(BC) = 4.8 cm, m∠A = 70° , m∠B = 50° , m∠C = 140°.

Construct the following quadrilateral of given measures.

Construct ☐ LMNO such that l(LM) = l(LO) = 6 cm, l(ON) = l(NM) = 4.5 cm, l(OM) = 7.5 cm.

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 8 Quadrilateral : Constructions and Types Exercise Practice Set 8.2 [Pages 46 - 47]

Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.

Draw a square WXYZ with side 5.2 cm.

Draw a rhombus KLMN such that its side is 4 cm and m∠K = 75° .

If diagonal of a rectangle is 26 cm and one side is 24 cm, find the other side.

Lengths of diagonals of a rhombus ABCD are 16 cm and 12 cm. Find the side and perimeter of the rhombus.

Find the length of diagonal of a square with side 8 cm .

Measure of one angle of a rhombus is 50° .find the measures of remaining three angles.

#### Balbharati solutions for Maharashtra state board Class 8 Mathematics Chapter 8 Quadrilateral : Constructions and Types Exercise Practice Set 8.3 [Pages 49 - 50]

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

Referring the adjacent figure of a parallelogram, write the answer of questions given below.

(1) If l(WZ) = 4.5 cm then l(XY) = ?

(2) If l(YZ) = 8.2 cm then l(XW) = ?

(3) If l(OX) = 2.5 cm then l(OZ) = ?

(4) If l(WO) = 3.3 cm then l(WY) = ?

(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?

Construct a parallelogram ABCD such that l(BC) = 7 cm, m∠ABC = 40° , l(AB) = 3 cm.

Ratio of consecutive angles of a quadrilateral is 1:2:3:4. Find the measure of its each angle. Write, with reason, what type of a quadrilateral it is.

Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm

Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110° , m∠R = 70° . If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

## Chapter 8: Quadrilateral : Constructions and Types

## Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 8 - Quadrilateral : Constructions and Types

Balbharati solutions for Maharashtra state board Class 8 Mathematics chapter 8 (Quadrilateral : Constructions and Types) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Maharashtra state board Class 8 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Maharashtra state board Class 8 Mathematics chapter 8 Quadrilateral : Constructions and Types are Construction of a Quadrilateral, Concept of a Rectangle, Concept of a Square, Concept of Rhombus, Concept of Parallelogram, Concept of Trapezium, Concept of Kite.

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