Perpendicular bisector of a line segment

Chapter 14 Class 6 Practical Geometry
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### Transcript

Ex 14.5, 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 