Draw a line l and a point X on it. Through X, draw a line segment XY perpendicular to l.
Now draw a perpendicular to XY at Y. (use ruler and compasses)

Solution:

With the help of a ruler and a compass, we can draw a line segment by following steps:

Let us do construction step by step.

Step 1: First step is to draw a line l and then mark a point X on it

Step 2: Now, we need to take X as a center and with a convenient radius, let's draw an arc intersecting the line l at points A and B, respectively

Step 3: After that, With A and B as centers and a radius more than AX, we need to construct two arcs such that they must intersect each other at point Y.

Step 4: Last step is to join XY. Here we got XY which is perpendicular to l

In the same way, by taking C and D as centers and radius more than CY, construct two arcs intersecting at point Z. Join ZY. The line ZY obtained is perpendicular to XY at Y.

NCERT Solutions for Class 6 Maths Chapter 4 Exercise 14.4 Question 3

Draw a line l and a point X on it. Through X, draw a line segment XY perpendicular to l. Now draw a perpendicular to XY at Y. (use ruler and compasses)

Summary:

A line segment XY is drawn perpendicular to L with the help of a ruler and compass.

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