You are here
Question 2 - Perpendicular bisector of a line segment - Practical Geometry
Last updated at April 16, 2024 by Teachoo
Practical Geometry
Concept wise
- Basics
- Construction of a circle when its radius is known
- Construction of a line segment of a given length
- Constructing a copy of a given line segment
- Perpendicular to a line through a point on it
- Perpendicular to a line through a point not on it
-
Perpendicular bisector of a line segment
- Constructing an angle using protractor
- Bisector of an angle
- Constructing angles using compass
- Constructing a copy of a given angle
Transcript
Question 2 Draw a line segment of length 9.5 cm and construct its perpendicular bisector. Let’s first draw a line segment of length 9.5 cm We follow these steps 1. Draw a line l mark point A on it 2. Since length is 9.5 cm, we measure 9.5 cm using ruler and compass 3. Now keeping compass opened the same length. We keep pointed end at point A, and draw an arc on line l So, the required line segment is (𝐴𝐵) ̅ = 9.5 cm Now, we need to make its perpendicular bisector Let’s follow these steps to make perpendicular bisector of AB 1. Given a line segment AB. 2. Now with A as center, and radius more than half AB, draw an arc on top and bottom of AB 3. Now with B as center, and same radius, draw an arc on top and bottom of AB 4. Where the two arcs intersect above AB is point C and where the two arcs intersect below AB is point D Join CD ∴ CD is the perpendicular bisector of AB
