Lines of Symmetry In Regular Polygons What is line of symmetry? An object is considered to be symmetrical, if when folded or sliced in half, both halves are mirror images of one another. An object is said to have a line of symmetry when one half of it is the mirror image of the other. […]

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Right Angle Triangle – Definition – Formula – Properties What is a Right Angle Triangle? A right angle triangle is a type of triangle. A right angle triangle plays an important role in trigonometry. A triangle in which one of the interior angle is 90º or a right angle is a right triangle. Right Triangle […]

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 Parallelograms – Properties   A parallelogram is a special type of a polygon. it is a quadrilateral with both pair of opposite sides are parallel. Properties 1. Opposite sides are equal.       Opposite sides, AB = CD and AC = BD 2. Opposite angles are equal.      Opposite angles are ∠A = ∠D and ∠B […]

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Given: Two triangles △ ABC and △ ABD are on same base (or equal bases) AB, and area of △ ABC and △ ABD are equal. Proof: CD ∥ AB Construction: Draw CE and DF perpendicular to AB.So DF is the height of △ ADB, and CE is the height of △ABC. CE perpendicular to AB and DF perpendicular to AB.Since, lines perpendicular to same line […]

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Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]

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The sum of the angles of a triangle is 180º Given: A triangle △ PQR and ∠1, ∠2, and ∠3 are angles of triangle △ PQR.  To prove:  ∠1 + ∠2 + ∠3 = 1800 Construction: Draw a line XPY parallel to QR passing through P.  Proof: XPY ∥ QR and PQ is transversal ∴ ∠2 = ∠4 (Alternate angles) ….(1) XPY ∥ QR and PR […]

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  Acute Angle When two rays are joined together at a common point, an angle is formed. Definition: Acute angle: A angle whose measure is more than 0 degree and less than 90 degree is called a acute angle. ∠AOB is a acute angle, it’s measure 45º, which is less then 90 degree and more then […]

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Polygons – Classification We classify polygons to the number of side orvertices based they have. A polygon can be classified by it’s number of a sides and measure of angles. First, we classify by it’s number of a sides.               Classified by measuring the sides The name of a polygon usually […]

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