Constructions
NIOS · Class 10 · Maths
Summary of Constructions for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.
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Constructions is a fundamental chapter in geometry that teaches us to draw accurate geometrical figures using only a compass and ruler. This chapter builds upon your previous knowledge of basic constructions and extends to more complex figures including line segment division, triangle construction w
Key Concepts
To divide line segment AB internally
To divide line segment AB internally in ratio m:n, draw ray AC at acute angle, mark (m+n) equal points on AC, join last point to B, and draw parallel
When three sides are given
When three sides are given, draw one side as base, then use compass to draw arcs with remaining two sides as radii from endpoints of base. Intersectio
When two sides and included angle
When two sides and included angle are given, draw one side as base, construct the given angle at one endpoint, mark the second side along the angle ra
When two angles and included side
When two angles and included side are given, draw the given side, construct both angles at its endpoints, and their intersection forms the third verte
For right triangles when hypotenuse
For right triangles when hypotenuse and one side are given, draw the given side, construct 90° angle at one end, then use hypotenuse length to locate
Learning Objectives
- Divide a line segment internally in a given ratio using compass and ruler
- Construct triangles using different given conditions (SSS, SAS, ASA, RHS)
- Construct triangles when perimeter and base angles are given
- Construct triangles when sum or difference of sides and an angle are given
- Construct triangles when two sides and a median are given
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