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 […]
Read More →Theorem The perpendicular from the center of a circle to a chord bisects the chord. Given: A circle with center O, AB is chord of a circle and OC perpendicular from the center to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB Both angles are 900. To prove: AC = CB (C is the mid point of chord AB) […]
Read More →The line drawn through the center of a circle to bisect a chord is perpendicular to the chord. Given: A circle with center O, AB is chord of a circle and OC bisect chord at C. i,e. AC = CB. To prove: OC ⊥ AB Construction: join OA and OB. Proof: In △ OCA and △ OCB OA = OB (Radius […]
Read More →Properties of a Rectangle A rectangle is a two dimensional four sided polygon(quadrilateral), in which the opposite sides are equal and parallel to each other and all four angles are right angles. In figure ABCD is a rectangle. Properties of a Rectangle A rectangle is a quadrilateral. 1. Each interior angle is a right angle. 2. […]
Read More →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 […]
Read More →If the diagonals of a Quadrilateral, bisect each other then that Quadrilateral is a Parallelogram Given: ABCD is a quadrilateral with AC and BD are diagonals and diagonals intersect each other at O. i.e. OA = OC and OB = OD To Prove: ABCD is a parallelogram. Proof: In △AOD and △COB […]
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