Class 7 Maths - KERALA
Constructions and Tilings
The chapter 'Constructions and Tilings' in Class 7 Kerala SCERT Mathematics bridges the gap between geometry and art. Students learn how to use a ruler and compass to construct basic geometric figures accurately, including perpendicular bisectors, angle bisectors, and specific triangles. The second part explores tilings or tessellations, teaching how different shapes fit together without gaps or overlaps to cover a plane. This chapter is essential for board exams as it tests both precision in drawing and logical reasoning about angles and symmetry, usually appearing as high-scoring construction and pattern-based questions.
Start Learning FreeKey Concepts
Perpendicular Bisector
A line that divides a given line segment into two equal halves at a 90-degree angle, constructed using a compass.
Angle Bisector
A line that divides a given angle into two equal parts, drawn accurately using an arc method with a compass.
Triangle Construction
Drawing triangles when specific measurements like side lengths (SSS) or angles and sides (SAS) are given.
Tiling (Tessellation)
Covering a flat surface using one or more geometric shapes without leaving any gaps or overlapping them.
Angle Sum at a Vertex in Tiling
For shapes to tile a plane around a single point, the sum of the angles meeting at that vertex must be exactly 360 degrees.
Important Formulas
Board Exam Info
In Kerala (SCERT) Class 7 examinations, this chapter typically carries around 6 to 10 marks. Common question types include step-by-step geometric construction problems (like drawing a perpendicular bisector or a specific triangle) and conceptual questions identifying whether a given regular shape can form a tiling pattern based on vertex angles.
Frequently Asked Questions
Why do my construction lines not meet properly?
This usually happens if the pencil is not sharp, the compass slips, or the measurements taken from the scale are slightly off. Always use a well-sharpened pencil and hold the compass firmly from the top.
Which regular polygons can tile a floor on their own?
Only regular triangles, squares, and regular hexagons can tile a floor by themselves because their interior angles are factors of 360 degrees.
Do I need to write the steps of construction in the exam?
Yes, for construction questions, writing brief steps of construction along with the neat geometric drawing is often required to get full marks.
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