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Shapes Around Us

Angles in flat shapes

Sort flat shapes by the angles they have.

In your book, Maths Mela (Chapter 1), you sort flat shapes by their angles. Every corner of a flat shape is an angle, and every corner is where two sides meet. So a shape has as many angles as it has sides. A triangle has 3 sides and 3 angles. A four-sided shape has 4 angles. A pentagon has 5 sides and 5 angles.

Next, count the right angles. A rectangle has 4 angles and all 4 are right angles. A square has 4 right angles too. A triangle can have 1 right angle, like the corner of a book; we call it a right-angled triangle. Its other 2 angles are acute.

Your book also shows a parallelogram, a rhombus and a trapezium. They are four-sided shapes too, but the ones in the book are slanting: they have acute and obtuse angles. That is how a rectangle and a square are different: they have only right angles.

A square is a special rectangle: it has 4 right angles like every rectangle, and all four of its sides are equal as well. A triangle or a pentagon can never have only right angles: a triangle has at most 1 right angle, and a pentagon's corners cannot all be right angles either.

A flat shape has as many angles as sides; a rectangle and a square have 4 angles and all of them are right angles.

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