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

Draw an angle of measure

135 °

and bisect it.

Accepted Answer

Steps of construction:

(a) Draw a ray $\vec{O A} .$

(b) Place the center of the protractor at $O$ . Note that the ray $\vec{O A}$ must coincide with $0 °$ line of the protractor.

(c) Construct an angle of $135 °$ at $O$ using the protractor. Mark point $B$ on it.

(d) Taking center $O$ and any convenient radius, draw an arc which intersects the arms $\bar{O A}$ and $\bar{O B}$ at $C$ and $D$ respectively.

(e) Taking $C$ as center and radius more than half of $C D,$ draw an arc.

(f) Taking $D$ as center and with the same radius, draw another arc which intersects the previous arc.

(g) Let the point of intersection be $E$ . Join $O E$ and produce it.

(h) Thus, $\vec{O E}$ is the required bisector of $∠ A O B .$

Draw an angle of measure $135 °$ and bisect it.

Important Questions on Practical Geometry

Learn and Prepare for any exam you want !

Draw an angle of measure 135° and bisect it.

Important Questions on Practical Geometry

Learn and Prepare for any exam you want !

Draw an angle of measure $135 °$ and bisect it.