# Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 8 - Quadrilateral : Constructions and Types [Latest edition]

## Solutions for Chapter 8: Quadrilateral : Constructions and Types

Below listed, you can find solutions for Chapter 8 of Maharashtra State Board Balbharati for Mathematics 8th Standard Maharashtra State Board.

Practice Set 8.1Practice Set 8.2Practice Set 8.3
Practice Set 8.1 [Page 43]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 8 Quadrilateral : Constructions and Types Practice Set 8.1 [Page 43]

Practice Set 8.1 | Q 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° .

Practice Set 8.1 | Q 2 | Page 43

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.

Practice Set 8.1 | Q 3 | Page 43

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°.

Practice Set 8.1 | Q 4 | Page 43

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.

Practice Set 8.2 [Pages 46 - 47]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 8 Quadrilateral : Constructions and Types Practice Set 8.2 [Pages 46 - 47]

Practice Set 8.2 | Q 1 | Page 46

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

Practice Set 8.2 | Q 2 | Page 46

Draw a square WXYZ with side 5.2 cm.

Practice Set 8.2 | Q 3 | Page 46

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

Practice Set 8.2 | Q 4 | Page 46

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

Practice Set 8.2 | Q 5 | Page 47

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

Practice Set 8.2 | Q 6 | Page 47

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

Practice Set 8.2 | Q 7 | Page 47

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

Practice Set 8.3 [Pages 49 - 50]

### Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 8 Quadrilateral : Constructions and Types Practice Set 8.3 [Pages 49 - 50]

Practice Set 8.3 | Q 1 | Page 49

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

Practice Set 8.3 | Q 2 | Page 50

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 = ?

Practice Set 8.3 | Q 3 | Page 50

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

Practice Set 8.3 | Q 4 | Page 50

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.

Practice Set 8.3 | Q 5 | Page 50

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

Practice Set 8.3 | Q 6 | Page 50

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?

## Solutions for Chapter 8: Quadrilateral : Constructions and Types

Practice Set 8.1Practice Set 8.2Practice Set 8.3

## Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 8 - Quadrilateral : Constructions and Types

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 8 Quadrilateral : Constructions and Types are Constructing a Quadrilateral, Properties of a Parallelogram, Properties of Trapezium, Properties of Kite, Properties of Rectangle, Properties of a Square, Properties of Rhombus, Constructing a Quadrilateral When Three Sides and Two Included Angles Are Given, Constructing a Quadrilateral When the Lengths of Four Sides and a Diagonal Are Given, Constructing a Quadrilateral When Two Diagonals and Three Sides Are Given, Constructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known.

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