Chapter: Maths Constructions and Tilings…

✓ Free notes Class 7 Mathematics 1 study file

About these notes

Class 7 Mathematics Maths Constructions and Tilings (CBSE / Bihar Board) notes give step-by-step ruler-and-compass constructions with clear diagrams, plus concise revision points. Main sub-topics: angle bisector, perpendicular bisector and midpoint, perpendicular from a point to a line, triangle constructions using SSS/SAS/ASA, tessellations (tiling) with squares, equilateral triangles and hexagons, and compass‑and‑ruler accuracy tips. Designed for Class 7 students of CBSE and Bihar Board who want quick revision, practise chapter test questions and prepare for school tests and board-pattern mock tests on Merit Spring ROH.

Key points you will learn

Class 7 Mathematics Maths Constructions and Tilings notes — stepwise ruler-and-compass constructions
Constructing an angle bisector: equal arcs from vertex and joining intersection
Perpendicular bisector of a segment to find midpoint and equal divisions
Drop a perpendicular from a point to a line (external and on-line cases)
Triangle constructions by SSS, SAS and ASA rules with precise steps
Tessellation examples: tiling with squares, equilateral triangles and regular hexagons
Compass and ruler tips: measure arcs, avoid changing compass width mid-step
Exam tip: draw neat labelled diagrams and write construction steps clearly

What is inside this chapter

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Maths Constructions and Tilings Notes (Class 7 Maths)

Class 7 Maths Maths Constructions and Tilings handwritten-style revision notes for CBSE and Bihar Board students.

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Questions students ask

What is covered in Class 7 Maths Constructions and Tilings notes?

The notes cover stepwise constructions (angle bisector, perpendicular bisector, perpendiculars from a point), triangle constructions by SSS/SAS/ASA, and tiling (tessellation) examples with regular shapes. They also include diagrams and quick revision points.

How to construct an angle bisector quickly?

Draw two equal arcs from the vertex cutting both arms, then draw equal arcs from those two points and join the vertex to their intersection; that line is the angle bisector. Practice steady compass handling for accuracy.

Where to find Class 7 Maths Constructions and Tilings important questions and MCQ?

Check the chapter test and board-pattern mock tests on Merit Spring ROH for important questions and MCQ practice. First revise steps from the notes, then use tests to build speed and accuracy.

How to practise chapter question answer and revision for constructions?

Revise one construction at a time from the notes, draw it repeatedly under a time limit, and then attempt chapter tests and mock tests to check error types and time management.

Difference between perpendicular bisector and perpendicular from a point to a line?

A perpendicular bisector cuts a segment into two equal parts at 90° and is found using arcs from endpoints; a perpendicular from a point meets the line at 90° and may not bisect the segment.

More Mathematics chapters

Chapter 1: Large Numbers Around Us Chapter 2: Arithmetic Expressions Chapter 3: A Peek Beyond the Point Chapter 4: Expressions Using Letter Numbers Chapter 5: Parallel and Intersecting Lines Chapter 6: Number Play All chapters →

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