Class 7 Maths - UP
Constructions and Tilings
In the Class 7 UP Board Mathematics chapter 'Constructions and Tilings', students explore the fascinating world of geometric drawing and spatial patterns. This chapter teaches you how to use a ruler, compass, and protractor to accurately draw line segments, angles, perpendiculars, and various types of triangles. Additionally, you will learn about tessellations or tilings—how different shapes can fit together to cover a flat surface completely without any gaps or overlaps, inspired by real-world art and architecture. Mastering this chapter is essential as it builds strong foundational drawing skills and spatial reasoning tested frequently in school examinations.
Start Learning FreeKey Concepts
Line Segment Bisector
Dividing a given line segment into two equal halves using a ruler and compass.
Angle Bisector
Drawing a ray that divides a given angle into two angles of equal measure.
Perpendicular Line
Constructing a line that meets another line at a right angle (90 degrees) using a compass.
Triangle Construction
Drawing triangles accurately when given specific measurements like SSS (Side-Side-Side) or SAS (Side-Angle-Side).
Tilings (Tessellation)
Covering a 2D plane using repeating geometric shapes without gaps or overlapping.
Important Formulas
Board Exam Info
In UP Board Class 7 examinations, this chapter typically carries around 6 to 8 marks. Question types usually include step-by-step construction of angles (like 30, 60, 90 degrees), perpendicular bisectors, and short conceptual questions on whether specific shapes can form valid tilings.
Frequently Asked Questions
Can all shapes be used for tiling a floor?
No, only shapes whose interior angles around a point add up exactly to 360 degrees can form a regular tiling without gaps.
Why do we use a compass and ruler instead of a protractor sometimes?
Compass and ruler constructions provide exact geometric accuracy without the potential rounding errors of a protractor.
What is the difference between a regular and irregular tiling?
A regular tiling uses only one type of regular polygon, while an irregular tiling uses a combination of different polygons.
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