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RD Sharma solutions for Mathematics [English] Class 8 chapter 16 - Understanding Shapes-II (Quadrilaterals) [Latest edition]

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RD Sharma solutions for Mathematics [English] Class 8 chapter 16 - Understanding Shapes-II (Quadrilaterals) - Shaalaa.com
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Solutions for Chapter 16: Understanding Shapes-II (Quadrilaterals)

Below listed, you can find solutions for Chapter 16 of CBSE RD Sharma for Mathematics [English] Class 8.


Exercise 16.1
Exercise 16.1 [Pages 15 - 17]

RD Sharma solutions for Mathematics [English] Class 8 16 Understanding Shapes-II (Quadrilaterals) Exercise 16.1 [Pages 15 - 17]

1.1Page 15

Define the following term Quadrilateral .

 

1.2Page 15

Define the following term Convex Quadrilateral .

2.01Page 15

In a quadrilateral, define of the following Sides.

2.02Page 15

In a quadrilateral, define of the following   Vertices .

2.03Page 15

In a quadrilateral, define of the following  Angles .

2.04Page 15

In a quadrilateral, define of the following Diagonals .

2.05Page 15

In a quadrilateral, define of the following Adjacent angles .

2.06Page 15

In a quadrilateral, define of the following  Adjacent sides .

2.07Page 15

In a quadrilateral, define of the following Opposite sides .

2.08Page 15

In a quadrilateral, define of the following  Opposite angles .

2.09Page 15

In a quadrilateral, define of the following Interior .

2.1Page 15

In a quadrilateral, define of the following  Exterior .

3.01Page 15

Complete of the following, so as to make a true statement:

A quadrilateral has ....... sides.

3.02Page 15

Complete of the following, so as to make a true statement:

 A quadrilateral has ...... angles.

3.03Page 15

Complete of the following, so as to make a true statement:

A quadrilateral has ..... vertices, no three of which are .....

3.04Page 15

Complete of the following, so as to make a true statement:

A quadrilateral has .... diagonals.

3.05Page 15

Complete of the following, so as to make a true statement:

 The number of pairs of adjacent angles of a quadrilateral is .......

3.06Page 15

Complete of the following, so as to make a true statement:

The number of pairs of opposite angles of a quadrilateral is .......

3.07Page 15

Complete of the following, so as to make a true statement:

 The sum of the angles of a quadrilateral is ......

3.08Page 15

Complete of the following, so as to make a true statement:

A diagonal of a quadrilateral is a line segment that joins two ...... vertices of the quadrilateral.

3.09Page 15

Complete of the following, so as to make a true statement: 

The sum of the angles of a quiadrilateral is .... right angles.

3.1Page 15

Complete of the following, so as to make a true statement:

The measure of each angle of a convex quadrilateral is ..... 180°.

3.11Page 15

Complete of the following, so as to make a true statement:

In a quadrilateral the point of intersection of the diagonals lies in .... of the quadrilateral.

3.12Page 15

Complete of the following, so as to make a true statement:

 A point is in the interior of a convex quadrilateral, if it is in the ..... of its two opposite angles.

3.13Page 15

Complete of the following, so as to make a true statement:

A quadrilateral is convex if, for each side, the remaining ______ lie on the same side of the line containing the side. 

4.1Page 16

In Fig. 16.19, ABCD is a quadrilateral.

Name a pair of adjacent sides.

4.2Page 16

In Fig. 16.19, ABCD is a quadrilateral. 

 Name a pair of opposite sides.

4.3Page 16

In Fig. 16.19, ABCD is a quadrilateral.

How many pairs of adjacent sides are there?

4.4Page 16

In Fig. 16.19, ABCD is a quadrilateral.

How many pairs of opposite sides are there?

4.5Page 16

In Fig. 16.19, ABCD is a quadrilateral.

 Name a pair of adjacent angles.

4.6Page 16

In Fig. 16.19, ABCD is a quadrilateral.

Name a pair of opposite angles.

4.7Page 16

In Fig. 16.19, ABCD is a quadrilateral.

How many pairs of adjacent angles are there?

4.8Page 16

In Fig. 16.19, ABCD is a quadrilateral.

How many pairs of opposite angles are there?

5Page 16

The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.

 
6Page 16

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

7Page 16

A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?

8Page 16

A quadrilateral has all its four angles of the same measure. What is the measure of each?

9Page 16

Two angles of a quadrilateral are of measure 65° and the other two angles are equal. What is the measure of each of these two angles?

 
10Page 16

Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.

 
11Page 16

The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.

 
12Page 16

If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?

 
13Page 16

In Fig. 16.20, find the measure of ∠MPN

 

14Page 16

The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?

 
15Page 16

In Fig. 16.21, the bisectors of ∠A and ∠B meet at a point P. If ∠C = 100° and ∠D = 50°, find the measure of ∠APB

16Page 17

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

 
17Page 17

In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\] 

 
18.1Page 17

Find the number of side of a regular polygon, when of its angle has a measure of 160° .

18.2Page 17

Find the number of side of a regular polygon, when of its angle has a measure of 135° .

18.3Page 17

Find the number of side of a regular polygon, when of its angle has a measure of 175° .

18.4Page 17

Find the number of side of a regular polygon, when of its angle has a measure of 162° .

18.5Page 17

Find the number of side of a regular polygon, when of its angle has a measure of 150° .

19Page 17

Find the number of degrees in each exterior exterior angle of a regular pentagon.

 
20Page 17

The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.

 
21Page 17

In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.

22Page 17

The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.

23Page 17

Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.

 
24Page 17

PQRSTU is a regular hexagon. Determine each angle of ΔPQT.

 

Solutions for 16: Understanding Shapes-II (Quadrilaterals)

Exercise 16.1
RD Sharma solutions for Mathematics [English] Class 8 chapter 16 - Understanding Shapes-II (Quadrilaterals) - Shaalaa.com

RD Sharma solutions for Mathematics [English] Class 8 chapter 16 - Understanding Shapes-II (Quadrilaterals)

Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 8 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 [English] Class 8 CBSE 16 (Understanding Shapes-II (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 [English] Class 8 chapter 16 Understanding Shapes-II (Quadrilaterals) are Properties of Trapezium, Properties of Kite, Classification of Polygons, Properties of a Parallelogram, Concept of Curves, Basic Concept of Polygons, Quadrilaterals, Property: The diagonals of a rhombus are perpendicular bisectors of one another., Properties of Rhombus, Property: The Opposite Sides of a Parallelogram Are of Equal Length., Property: The Opposite Angles of a Parallelogram Are of Equal Measure., Property: The adjacent angles in a parallelogram are supplementary., Property: The diagonals of a parallelogram bisect each other. (at the point of their intersection), Sum of Interior Angles of a Polygon, Property: The Diagonals of a Rectangle Are of Equal Length., Properties of Rectangle, Properties of a Square, Property: The diagonals of a square are perpendicular bisectors of each other., Properties of Quadrilateral, Different Types of Curves - Closed Curve, Open Curve, Simple Curve., Sum of Exterior Angles of a Polygon.

Using RD Sharma Mathematics [English] Class 8 solutions Understanding Shapes-II (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 [English] Class 8 students prefer RD Sharma Textbook Solutions to score more in exams.

Get the free view of Chapter 16, Understanding Shapes-II (Quadrilaterals) Mathematics [English] Class 8 additional questions for Mathematics Mathematics [English] Class 8 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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