Supplementary and Complementary Angels To understand supplementary and complementary angles, first we need to understand the adjacent angles.                          Adjacent angle Two angles that have a common vertex and a common side but not overlap, are known as adjacent angles.    Complementary Angles When the total of […]

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Vertically Opposite Angles Theorem Vertical angles theorem or Vertically opposite angles theorem states that, If two lines intersect each other, then vertically opposite angles are equal. Given: In the above statement, given that two lines intersect each other, so let AB and CD are two lines intersect each other at O as shown in figure so […]

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Square – Properties – Formula Here we will learn, about some geometrical properties of a square. In below figure ABCD is a square. Properties of a square 1. All four sides of a square are equal or congruent. 1. All four sides of a square are equal or congruent. AB  =  BC  =  CD  =  DA 2. All […]

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Measure an angle with Protractor What is a protractor Shape of a protractor The shape of a protractor is as a semi circle.  Protractor’s upper side is curved and lower side is a straight line.The curved edge is divided into 180 equal parts, and each part is equal to a degree. Most protractors have two […]

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Angle – Angle – Similarity If two angles of a triangle are respectively equal to two angles of another triangle, then the two triangles are similar. Given: Two △ABC and △PQR such that ∠B = ∠Q,    and   ∠C = ∠R  To prove: △ABC ~ △PQR  Proof: In △ABC, ∠A + ∠B +∠C =  1800….(1) by angle sum property In △PQR∠P + […]

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Prove that the angle in a semicircle is a right angle                           or Angle subtended by a diameter/Semicircle on any circle on any point of circle is 90º. Given: A circle O with centre O. BC is the diameter of circle subtending ∠BAC at […]

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