Construction of Polygons — Chapter Summary
ICSE · Class 9 · Mathematics
Summary of Construction of Polygons for ICSE Class 9 Mathematics. Part of the ICSE Class 9 Mathematics syllabus.
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Overview
Construction of polygons by ruler and compass is based on locating vertices accurately from the given measurements. A rough free-hand sketch should always be drawn before starting actual construction. The chapter mainly covers construction of quadrilaterals, parallelograms, trapeziums, rectangles, r
Key Concepts
Constructing a quadrilateral means locating its
Constructing a quadrilateral means locating its four vertices. A rough sketch helps fix the shape before the ruler-and-compass steps begin.
One side is drawn first
One side is drawn first, then the given angle is constructed, the next side is marked, and the remaining two vertices are found by arcs from the known
A base side is drawn
A base side is drawn, the two given consecutive angles are constructed at the correct vertices, and the remaining side is fixed using an arc from the
Using given dimensions
Using given dimensions; first of all construct triangle ABC and then triangle ADC .
A first triangle is built
A first triangle is built, then the second triangle is built using the other diagonal, and finally the remaining vertices are joined.
Learning Objectives
- Understand what construction of a quadrilateral means
- Use given sides, angles, diagonals, and height to construct quadrilaterals
- Apply special properties of parallelograms, rectangles, rhombuses, squares, and hexagons
- Choose the correct construction method for a given set of measurements
- Avoid common mistakes in triangle choice, diagonal length, and order of steps
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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