Introduction You know that the paper is a model for a plane surface. When you join a number of points without lifting a pencil from the paper (and without retracing any portion of the drawing othe
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Regular and irregular polygons A regular polygon is both ‘equiangular’ and ‘equilateral’. For example, a square has sides of equal length and angles of equal measure.
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Sum of the Measures of the Exterior Angles of a Polygon On many occasions a knowledge of exterior angles may throw light on the nature of interior angles and sides. DO THIS Draw a polygon on
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Kinds of Quadrilaterals Based on the nature of the sides or angles of a quadrilateral, it gets special names. Trapezium Trapezium is a quadrilateral with a pair of parallel sides Stu
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Parallelogram A parallelogram is a quadrilateral. As the name suggests, it has something to do with parallel lines. Study these figures and try to describe in your own words what we mean by
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Angles of a parallelogram We studied a property of parallelograms concerning the (opposite) sides. What can we say about the angles? Property: The opposite angles of a parallelogram are of equa
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Diagonals of a parallelogram The diagonals of a parallelogram, in general, are not of equal length. (Did you check this in your earlier activity?) However, the diagonals of a parallelogram have an
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Some Special Parallelograms Rhombus We obtain a Rhombus (which, you will see, is a parallelogram) as a special case of kite (which is not a a parallelogram). Note that the sides of rhombus
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A rectangle A rectangle is a parallelogram with equal angles (Fig). What is the full meaning of this definition? Discuss with your friends. If the rectangle is to be equiangular,
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A square A square is a rectangle with equal sides. BELT is a square, BE = EL = LT = TB ∠B, ∠E, ∠L, ∠T are right angles. BL = ET and \(\overline{BL}||
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