OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11. We Provide Step by Step Answer of Exe-11(a), Exe-11(b), Exe-11(c), Exe-11(d),with Chapter Test of S Chand OP Malhotra Maths . Visit official Website CISCE for detail information about ICSE Board Class-9.

Board	ICSE
Publications	S. Chand
Subject	Maths
Class	9th
Chapter-11	Rectilinear Figures
Writer	OP Malhotra
Topics	Solution of Exe-11(a), Exe-11(b), Exe-11(c), Exe-11(d),with Chapter Test
Academic Session	2021-2022

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

-: Select Topics :-

Exercise-11(a)

Exercise-11(b)

Exercise-11(c) Exercise-11(d)

Chapter Test

Exercise-11

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Rectilinear figure :

Rectilinear means along a straight line or in a straight line or forming a straight line. Basically, it is a plane figure bounded by line segments.

Polygon :

Polygon is a closed rectilinear figure. The line segments by which it is bounded are called its sides, the points of intersection of consecutive sides are called its vertices, and the angle formed by the intersection of two consecutive sides is called an interior angle or simply an angle.

Quadrilaterals :

A quadrilateral can be defined as a closed, two-dimensional shape that has four straight sides.

Concave and Convex Polygons:
We know that each side of a polygon is connected by two consecutive vertices of the polygon. A diagonal is a line segment that connects the non-consecutive vertices of a polygon. If a diagonal lies outside a polygon, then the polygon is called a concave polygon. If all the diagonals lie inside the polygon, then the polygon is said to be a convex polygon.

Regular and Irregular Polygons:

A regular polygon is equiangular and equilateral. The word equiangular means, the interior angles of the polygon are equal to one another. The word equilateral means, the lengths of the sides are equal to one another. The polygon with unequal sides and unequal angles is called an irregular polygon.

Rectilinear Figures :

A plane figure bounded by line segments is called a rectilinear figure.
A closed plane geometrical figure bounded by at least 3 line segments is called a polygon.
The line segments forming a polygon intersect only at end-points and each end-point is shared by only two line segments.
On the basis of sides, the polygons are classified as triangles, quadrilaterals, pentagons, hexagons, etc.
A convex polygon is defined as a polygon with each of its interior angles less than 180°.
A concave polygon is defined as a polygon with one or more interior angles greater than 180°.
A polygon is said to be a regular polygon, if all its interior angles are equal, sides are equal and exterior angles are equal.
The sum of all the interior angles of a convex polygon of n sides is (2n – 4) right angles.

Exercise-11.(a)

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Calculate the angles marked with small letters in the diagrams drawn in the figure.

………………………….

Question 2:

Find each angle of a ………… in the ratio of 1 : 5.

Question 3:

………………………

………………………..

Question 16:

ABCD is a square. ABO is an equilateral triangle inside the square. Find angle DOC.

Exercise-11.(b)

Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

(i) If in a parallelogram, the diagonals are ……………. will be square.

(ii) Prove that in a rectangle ……… of equal lengths.

Question 2:

……………………..

………………………

……………………….

Question 15:

ABCD is a rhombus. RABS is a straight line ……………… at right angles.

Exercise-11.(c)

Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Construct a quadrilateral ABCD\, when AB = 4 cm, BC = 6 cm, CD = DA + 5.2 cm and AC = 8 cm

Question 2:

Construct a ………… Measure PR.

Question 3:

………………………

……………………….

Question 9:

Using ruler and compasses ………………. AC = 5.5 cm

Exercise-11.(d)

Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

AB = 6.5 cm, BC = 5.2 cm and angle B= 45 degree

Question 2:

Diagonals AC = 4.4 cm, ………….. = 60 degree.

Question 3:

………………………

……………………….

Question 24:

Hexagon on a side of 3.2 cm. Find out its area.

Chapter Test

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Which of the following terms best describes the figure below ?

…………………….

Question 2:

Give the quadrilateral below, what value of x would allow you to conclude that the figure is a parallelogram ?

Question 3:

…………………

…………………..

……………………

Question 6 :

Given : PQ and QR are mid segment of triangle ABC and AB = BC

— : End of Rectilinear Figures OP Malhotra S Chand Solutions :–

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OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Rectilinear figure :

Polygon :

Quadrilaterals :

Regular and Irregular Polygons:

Rectilinear Figures :

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Question 2:

Question 3:

Question 16:

Exercise-11.(b)

Question 1:

Question 2:

Question 15:

Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Question 2:

Question 3:

Question 9:

Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Question 2:

Question 3:

Question 24:

OP Malhotra Rectilinear Figures Class-9 S.Chand ICSE Maths Ch-11

Question 1:

Question 2:

Question 3:

Question 6 :

Given : PQ and QR are mid segment of triangle ABC and AB = BC

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