NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.3

NCERT Solutions for Class 6 Maths Chapter 14 Exercise 14.3 (Ex. 14.3) Practical Geometry study online or download in PDF file format to use it offline. All the contents are updated according to latest CBSE Syllabus 2020-2021 for CBSE and State board students.

Class 6 math exercise 14.3 contains questions of drawing a new line equivalent to the given line without measuring from scale. Here we have to learn the use of compass and divider.

Class 6 Maths Chapter 14 Exercise 14.3 Solution

Class: 6Mathematics
Chapter: 14Practical Geometry
Exercise: 14.3English and Hindi Medium Solutions

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Class 6 Maths Chapter 14 Exercise 14.3 Solution in Videos

Construction of a Line Perpendicular to a Given Line at a Given Point Using a Set-Square and a Ruler

Let l be the given line and P be a given point on it. In order to construct a line perpendicular to l at point P, we take the following steps:
Step-1: Place the ruler so that one of its longer edges lies along the line l.
Step-2: Holding the ruler fixed, place a set-square ABC with the arm AC of its right angle A in contact with the ruler.
Step-3: Slide the set-square along the edge of the ruler until A coincides with P.
Step-4: Holding the set-square fixed in this position, we draw a line PQ along the edge AB with a sharp pencil.

Construction of a Line Perpendicular to a Given Line at a Given Point Using Ruler and Compasses

Let l be the given line and P be a given point on it. In order to construct a line perpendicular to l at point P, we follow the following steps:
Step-1: With P as centre and a convenient radius construct an arc intersecting the line l at two points A and B.
Step-2: With A and B as centres and a radius greater than PA construct two arcs cutting each other at Q.
Step-3: Join PQ and produce it in both directions to get a line perpendicular to l.

Construction of a Line Perpendicular to a Given Line and Passing Through a Given Point Not Lying on it by Using a Set-Square and a Ruler

In order to construct a line perpendicular to a given line l and passing through a given point P not lying on it, we take the following steps:
Step-1: Place either of the set-squares so that one edge AC of the right angle alies along.
Step-2: Now hold the set-square fixed and place a ruler along the edge opposite to the right angle of the set-square.
Step-3: Holding the ruler firmly, slide the set-square along the ruler until the edge AB passes through the given point P.
Step-4: Draw line PQ along the edge AB of the set-square.
Step-5: Then PQ is the required line perpendicular to the given line l, through the point P not lying on it.

Which of these constructions is possible using ruler and compass?

We are allowed to construct points, (straight) lines, and circles (or arcs thereof) from our initial data consisting of the two given points, by means of the given tools (the ruler and compass), according to the rules specified below. Points, lines, and circles thus constructed are termed construct

How do you construct a line segment using a ruler and a compass?

Line Segment Bisector, Right Angle
(i) Place the compass at one end of line segment.
(ii) Adjust the compass to slightly longer than half the line segment length.
(iii) Draw arcs above and below the line.
(iv) Keeping the same compass width, draw arcs from other end of line.
(v) Place ruler where the arcs cross, and draw the line segment.

What is the importance of geometrical construction?

Geometric construction allows you to construct lines, angles, and polygons with the simplest of tools. You will need paper, a sharpened pencil, a straightedge to control your lines (to make a straight edge), and a drawing compass to swing arcs and scribe circles.

Class 6 Maths Chapter 14 Exercise 14.3
6 Maths Chapter 14 Exercise 14.3 Solutions