Constructions — Chapter Summary
ICSE · Class 10 · Mathematics
Summary of Constructions for ICSE Class 10 Mathematics. Key concepts: Two tangents can be drawn, If a point lies on and If a point lies inside.
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Construction in geometry uses a ruler and compass to create accurate figures. This chapter focuses on classical constructions such as drawing two tangents to a circle from an external point and constructing a circle around or inside a triangle and a regular hexagon. The main idea is to build shapes
Key Concepts
Two tangents can be drawn
Two tangents can be drawn to a circle from a point outside the circle.
If a point lies on
If a point lies on the circle, only one tangent can be drawn.
If a point lies inside
If a point lies inside the circle, no tangent can be drawn.
The construction starts with a circle
The construction starts with a circle having centre O and an external point P.
First
First, join O and P, then draw the perpendicular bisector of OP to locate midpoint M.
Learning Objectives
- Construct two tangents to a circle from an external point
- Identify the number of tangents possible from different positions of a point relative to a circle
- Use ruler and compass for standard geometric constructions
- Understand the steps for finding tangent points using an auxiliary circle
- Recognise the difference between circumscribing and inscribing a circle on a triangle and a regular hexagon
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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