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 O to the chord AB. i.e. OC ⊥ AB therefore ∠OCA and ∠OCB, Both angles are 900. To prove: AC = CB Construction: join OA and OB. Proof: In △OCA and △ OCB ∠OCA = ∠OCB […]
Read More →Parallel Intersecting and Perpendicular Lines Definition: Parallel Lines Two or more lines in a plane that never intersect or touch each other are called “Parallel lines”. The symbol “∥” is used to denote parallel lines. Example- PQ ∥ RS denoted that line PQ parallel to line RS. Intersecting lines […]
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 →Transversal A “transversal” is a line or line segment, that intersects two or more lines or line segments. In above figure, line x and line y are transversal. In figure line l, intersects lines m and n at the point p and q […]
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 →Point When by a sharp tip of the pencil, mark a dot on the paper it will be the point. A point has only position, It has no size and an exact location. It is almost invisible. Drag three points on a paper, they are show as dots, so we can see them […]
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 →Trapezium – Definition – Properties Altitude – Midsegment – Angles – Formula Definition: A trapezium is a flat closed quadrilateral with 4 straight sides with one pair of parallel sides. The sides can be vertical, horizontal or slanting.A trapezium is also known as a trapezoid. The parallel sides is called the base and the non […]
Read More →Bar Notation – Definition & Examples Definition: Bar notation Bar notation is a easier way of writing the same repeating digits or decimals after the decimal point. A bar notation shows that the number pattern […]
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