Definition, Properties, Examples – Cyclic Quadrilaterals What is a Cyclic Quadrilateral A cyclic quadrilateral is a four sided polygon that is inscribed in a circle. The vertices are said concyclic. The center of the circle is called circumcenter and radius of the circle is called circumradius. Definition: A Cyclic Quadrilateral is a quadrilateral, whose all four vertices […]
Read More →If the angles subtended by chords of a circle at the center are equal, then the chords are equal. Given: A circle with center O, AB and CD are chords of circle that subtend equal angles at center O. i,e. ∠AOB = ∠COD. To prove: chord AB = chord CD Proof: In △AOB and △ CODOA = OC (Radius of circle)∠AOB […]
Read More →Equal chords of a circle subtend equal angles at the center. Given: Two equal chords AB and CD of a circle with center O. i,e. AB = CD. To prove: ∠AOB = ∠COD Proof: In △AOB and △ COD OA = OC (Radius of circle)OB = OD (Radius of circle)AB = CD (Given) Hence, △AOB ≅ △ COD (SSS Congruence rule) ∴ ∠AOB […]
Read More →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 […]
Read More →Tangent of a Circle Definition & Example In this lesson we will learn about tangent of a circle, before understanding the concept of a circle, let us know about circle. Circle Definition: A circle is a collection of all the points in a plane, whose all points are same distance from a fix point, is called “Circle”. […]
Read More →Vertex – Definition and Examples Vertex – Latin word Vertex meaning, “highest point”. What is Vertex? Vertex is a point where two or more rays or line segments are meet. When two rays or line segments meet, simply it is a corner, they form an angle. Definition: A vertex is a point on a polygon, where […]
Read More →2D – Shapes – Definition – Properties Here is a detailed explanation of common 2D shapes, including their definitions, examples, diagrams, and properties: Definition: 2D shapes are flat and also known as plane shapes, ‘2D’ stands for 2-dimensional. These shapes can be drawn on paper and have length and width. We can measure length and […]
Read More →The angle at the centre of a circle is twice the angle at the circumference, when both are subtended by the same arc. Given: A circle with centre at O, arc BC of this circle subtends angles ∠BOC at centre O and ∠BAC at a point A remaining part of the circle. To Proof: ∠BOC […]
Read More →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 […]
Read More →2D Shapes – Names and Properties Definition and Properties 2-dimensional shapes have 2 dimensions length and width. Rectangle A rectangle is a 2-dimensional 4 sided polygon. A rectangle have 4 sides, 4 angles and 4 vertices. The total of 4 angles is 360 degree. Square A square is a 2-dimensional 4 sided polygon. A square have 4 sides, 4 angles and 4 vertices. The total of […]
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