Name: Perpendicular Bisector of a Line Segment
Uploaded: 2019-07-19
Duration: 2 min 50 s
Description: A perpendicular bisector is a line segment that intersects another line and divides it into two equal parts. Here's how to construct the perpendicular bisect...

Question

Let's draw any angle

∠ PQR

. Now draw the bisector

Q X

of

∠ P Q R

by using compass and ruler. Now extend the line segment

R Q

to

S .

Again draw the bisector

Q Y

of

∠ P Q S

using scale, compass and ruler. Let's find out the angle between

Q X, Q Y

by using protractor.

Accepted Answer

Draw an angle $P Q R$ with pencil and compass.

By taking $Q$ as centre, taking some radius draw arcs on sides $P Q, P R$ which intersects at $A, B$ .

Now, again draw the arc by taking radius more than half of the length of $A B$ from point $A$ .

Again draw the arc from $B$ , which intersects the previous arc at $S$ .

Thus ray $Q X$ gives the angle bisector of $∠ P Q R$ .

Now extend the line $R Q$ to $S$ .

Now draw the arcs from point $Q$ to sides $P Q, P S$ intersects each other at $C, D$ .

Again draw the arcs from points $C, D$ .

Now ray $O Y$ is the angle bisector of $∠ P Q S$ .

From the above, figure, lies $Q X, Q Y$ are coincide to each other.

Therefore, the angle between two lines is $0 °$ .

Let's draw any angle $∠ PQR$ . Now draw the bisector $Q X$ of $∠ P Q R$ by using compass and ruler. Now extend the line segment $R Q$ to $S .$ Again draw the bisector $Q Y$ of $∠ P Q S$ using scale, compass and ruler. Let's find out the angle between $Q X, Q Y$ by using protractor.

Important Questions on Drawing of Different Geometrical Figures

Learn and Prepare for any exam you want !

Let's draw any angle ∠PQR. Now draw the bisector QX of ∠PQR by using compass and ruler. Now extend the line segment RQ to S. Again draw the bisector QY of ∠PQS using scale, compass and ruler. Let's find out the angle between QX, QY by using protractor.

Important Questions on Drawing of Different Geometrical Figures

Learn and Prepare for any exam you want !

Let's draw any angle $∠ PQR$ . Now draw the bisector $Q X$ of $∠ P Q R$ by using compass and ruler. Now extend the line segment $R Q$ to $S .$ Again draw the bisector $Q Y$ of $∠ P Q S$ using scale, compass and ruler. Let's find out the angle between $Q X, Q Y$ by using protractor.