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Question 5 - Construction of a line segment of a given length - Practical Geometry
Last updated at August 14, 2026 by Teachoo
Construction of a line segment of a given length
Practical Geometry
Concept wise
- Basics
- Construction of a circle when its radius is known
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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 5 Given (π΄π΅) Μ of length 7.3 cm and (πΆπ·) Μ of length 3.4 cm, construct a line segment (ππ) Μ such that the length of (ππ) Μ is equal to the difference between the lengths of (π΄π΅) Μ and (πΆπ·) Μ . Verify by measurement. Given (π΄π΅) Μ = 7.3 cm (πΆπ·) Μ = 3.4 cm We need to make line segment (ππ) Μ such that XY = AB β CD Letβs see how we do it Letβs follow these steps 1. Draw a line l mark point X on it 2. Measure (π΄π΅) Μ = 7.3 cm using compass 3. Now keeping compass opened the same length. We keep pointed end at point X, and draw an arc on line l So, (ππ΅β²) Μ = (π΄π΅) Μ = 7.3 cm. 4. Measure (πΆπ·) Μ = 3.4 cm using compass 5. Now keeping compass opened the same length. We keep pointed end at point Bβ, and draw an arc on line l So, (ππ΅β²) Μ = (πΆπ·) Μ = 3.4 cm. Thus, required line segment (ππ) Μ = 3.9 cm
