Class 7 Maths - HARYANA
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Mathematics helps students explore the fascinating world of geometry through hands-on drawing and pattern making. Students learn to use essential geometric tools like the ruler, compass, protractor, and set-squares to accurately construct parallel lines, perpendicular bisectors, and various angles. Additionally, the chapter introduces the concept of tilings or tessellations, showing how shapes fit together without gaps or overlaps. This chapter is vital for the Haryana (BSEH) board exams as it tests both precision in drawing and logical reasoning, usually contributing significant marks to the geometry section.
Start Learning FreeKey Concepts
Perpendicular Bisector
A line that divides a given line segment into two equal halves at a 90-degree right angle, constructed using a compass.
Parallel Lines Construction
Drawing a line parallel to a given line through a point outside it, using the property of alternate interior angles or corresponding angles.
Angle Bisector
A ray that divides an angle into two angles of exactly equal measure, drawn accurately with the help of a compass.
Tessellation / Tiling
Covering a flat surface using one or more geometric shapes (tiles) with no overlaps and no gaps.
Regular Tessellation
A tiling pattern made up of only one type of regular polygon, such as equilateral triangles, squares, or regular hexagons.
Important Formulas
Board Exam Info
In the Haryana (BSEH) Class 7 Mathematics examination, this chapter typically carries around 6 to 8 marks. Common question types include step-by-step construction of specific angles or perpendicular bisectors using a compass, and identifying whether a given shape can form a valid tiling pattern.
Frequently Asked Questions
Why is it important to use a sharp pencil for geometric constructions?
A sharp pencil ensures fine, accurate lines and points of intersection, which prevents errors in measurement and drawing.
Can any shape be used to make a tiling pattern?
No, shapes can only tile a plane if the sum of the angles meeting at each vertex equals exactly 360 degrees.
Are freehand drawings accepted in construction questions?
No, BSEH board exams require clear construction steps and accurate diagrams drawn strictly using geometric instruments like a ruler and compass.
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