Class 7 Maths - MP
Constructions and Tilings
In the chapter 'Constructions and Tilings' for Class 7 MP Board Mathematics, students explore the fascinating world of geometric shapes and spatial patterns. This chapter teaches you how to accurately draw fundamental geometric figures using tools like a ruler, compass, protractor, and set-squares. You will learn the step-by-step methods to construct parallel lines, perpendicular bisectors, and various types of triangles. Additionally, the chapter introduces you to tilings or tessellations—covering surfaces completely with shapes without gaps or overlaps. Mastering these practical skills is essential for scoring well in your MP Board exams.
Start Learning FreeKey Concepts
Line Segment Bisector
A line or ray that divides a given line segment into two equal halves at a 90-degree angle, constructed using a compass.
Perpendicular Line
A line constructed at a specific point on another line such that the angle formed between them is exactly 90 degrees.
Parallel Lines Construction
Drawing a second line that remains equidistant from a given line at all points, often using alternate interior angles or equal corresponding angles.
Triangle Construction (SSS, SAS, ASA)
Drawing triangles accurately when given either three sides (SSS), two sides and the included angle (SA), or two angles and the included side (ASA).
Tessellation / Tiling
Arranging a repeating pattern of geometric shapes to cover a flat plane completely without any gaps or overlapping parts.
Important Formulas
Board Exam Info
In the MP Board Class 7 Mathematics annual examination, this chapter typically carries around 6 to 8 marks. Questions usually include step-by-step construction of triangles or perpendicular lines using geometric tools (carrying 4 marks) and objective or short-answer questions based on the properties of tilings and basic geometrical definitions (carrying 1 to 2 marks).
Frequently Asked Questions
Why is it important to keep the pencil sharp while doing geometric constructions?
A sharp pencil ensures fine, accurate lines and precise intersections, which prevents errors in measurement and helps you score full marks.
Can any shape be used for tiling a floor?
No, shapes can only tile a floor without gaps if the sum of the angles meeting at any single vertex (corner point) equals exactly 360 degrees.
Do I need to leave my construction arcs visible on the MP Board exam paper?
Yes! Never erase your construction arcs and lines. Examiners look for these marks to verify that you used the correct geometrical method.
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