Playing with Constructions
CBSE · Class 6 · Mathematics
Summary of Playing with Constructions for CBSE Class 6 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Geometric construction uses a ruler and a compass to draw figures accurately. A compass helps draw circles and arcs with a fixed radius, and a rough diagram helps plan the steps before starting the construction. The chapter develops the ideas of circles, squares, rectangles, diagonals, and special c
Key Concepts
All points on a circle
All points on a circle are at the same distance from its centre. That fixed distance is called the radius. A point 4 cm from a fixed point P traces a
Curves include straight lines
Curves include straight lines, circles, and other figures that can be drawn on paper with a pencil. A compass can draw circles and parts of circles ac
A rectangle has opposite sides equal
A rectangle has opposite sides equal in length and all angles equal to 90°. The opposite sides AB and CD lie across from each other, and so do AD and
A square has all sides equal
A square has all sides equal and all angles equal to 90°. A square satisfies both the equal-sides property and the right-angle property.
A valid name follows the order
A valid name follows the order of travel around the figure, starting from any corner. Names such as ABCD, BCDA, CDAB, DABC, ADCB, DCBA, CBAD, and BADC
Learning Objectives
- Understand what a compass can draw and how a circle is formed.
- Identify the centre and radius of a circle.
- Recognise the properties of squares and rectangles.
- Use correct names for rectangles and squares by following the order of corners.
- Construct squares and rectangles using given side lengths or a side and a diagonal.
Frequently Asked Questions
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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