ML Aggarwal Basic Geometrical Concept Mental Maths Class 6 ICSE Maths Solutions

ML Aggarwal Basic Geometrical Concept Mental Maths Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Mental Maths Questions for Basic Geometrical Concept as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

ML Aggarwal Basic Geometrical Concept Mental Maths Class 6 ICSE Maths Solutions

Board	ICSE
Publications	Avichal Publishig Company (APC)
Subject	Maths
Class	6th
Chapter-10	Basic Geometrical Concept
Writer	ML Aggarwal
Book Name	Understanding
Topics	Solution of Mental Maths Questions
Edition	2023-2024

Basic Geometrical Concept Mental Maths

ML Aggarwal Class 6 ICSE Maths Solutions

Page-221

Question 1. Fill in the blanks:

(i) There is exactly one line passing through ……….. distinct points in a plane.
(ii) Two different lines in a plane either ……….. at exactly one point or are parallel.
(iii) The curves which have different beginning and end points are called ……….. curves.
(iv) A curve which does not cross itself at any point is called a ……….. curve.
(v) A simple closed curve made up entirely of line segments is called a ………..
(vi) A quadrilateral has ……….. diagonals.
(vii) A lines segment has a ……….. length.

Answer:

(i) There is exactly one line passing through two distinct points in a plane. .
(ii) Two different lines in a plane either intersect at exactly one point or are parallel.
(iii) The curves which have different beginning and end points are called open curves.
(iv) A curve which does not cross itself at any point is called a simple curve.
(v) A simple closed curve made up entirely of line segments is called a polygon.
(vi) A quadrilateral has two diagonals.
(vii) A lines segment has a definite length.

Question 2. Fill in the blanks with correct word(s) to make the statement true.

(i) Radius of a circle is one-half of its ………..
(ii) A radius of a circle is a line segment with one end point at ……….. and the other end-point on
(iii) A chord of a circle is a line segment with its end points ………..
(iv) A diameter of a circle is a chord that ……….. the centre of the circle.
(v) All radii of a circle are ………..

Answer:

(i) Radius of a circle is one-half of its diameter.
(ii) A radius of a circle is a line segment with one end point at the centre and the other end-point on the circle.
(iii) A chord of a circle is a line segment with its end points on the circle.
(iv) A diameter of a circle is a chord that passes through the centre of the circle.
(v) All radii of a circle are equal.

Question 3. State whether the following statements are true (T) or false (F):

(i) The line segment AB is the shortest route from A to B.
(ii) A line cannot be drawn wholly on a sheet of paper..
(iii) A line segment is made of infinite (uncountable) number of points.
(iv) Two lines in a plane always intersect.
(v) Through a given point only one line can be drawn.
(vi) Two different lines can be drawn passing through two distinct points.
(vii) Every simple closed curve is a polygon.
(viii)Every polygon has atleast three sides.
(ix) A vertex of a quadrilateral lies in its interior.
(x) A line segment with its end-points lying on a circle is called a diameter of the circle.
(xi) Diameter is the longest chord of the circle.
(xii) The end-points of a diameter of a circle divide the circle into two points, each part is called a semi-circle.
(xiii) A diameter of a circle divides the circular region into two parts, each part is called a semi-circular region.
(xiv) The diameter’s of a circle are concurrent the centre of the circle is the point common to all diameters.
(xv) Every circle has unique centre and it lies inside the circle.
(xvi) Every circle has unique diameter.

Answer:

(i) The line segment $\overline{\mathrm{AB}}$ is the shortest route from A to B. True
(ii) A line cannot be drawn wholly on a sheet of paper. True
(iii) A line segment is made of infinite (uncountable) number of points. True
(iv) Two lines in a plane always intersect. False
(v) Through a given point only one line can be drawn. False
(vi) Two different lines can eb drawn passing through two distinct points. False
(vii) Every simple closed curve is a polygon. False
(viii)Every polygon has atleast three sides. True
(ix) A vertex of a quadrilateral lies in its interior. False
(x) A line segment with its end-points lying on a circle is called a diameter of the circle. False
(xi) Diameter is the longest chord of the circle. True
(xii) The end-points of a diameter of a circle divide the circle into two points, each part is called a semi-circle. True
(xiii) A diameter of a circle divides the circular region into two parts, each part is called a semi-circular region. True
(xiv)The diameter’s of a circle are concurrent the centre of the circle is the point common to all diameters. True
(xv) Every circle has unique centre and it lies inside the circle. True
(xvi) Every circle has unique diameter. False