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 →Adjacent Angles If two angles have a common vertex, and a common side but do not overlap known as the “Adjacent Angles”. Adjacent angles are a pairs of angles. ∠ABC is adjacent angle to ∠CBD because they have a common side BC and a common vertex B. In above figure ∠x and ∠y are adjacent angles. They have […]
Read More →Vertical Angles When two lines are intersect they made four angles, angles are opposite to one another at the intersection of two lines. Each opposite pair of angles are called “Vertical Angles”, and vertical angles are always “Congruent” They are also called “Vertically Opposite Angles”. In above […]
Read More →Line segment, Line and Ray 1. Line segment A line segment is a part of a line, which has two end points, and contain all of the points between the two end points. In a sheet of a paper draw two points A and B, […]
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 →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 + […]
Read More →AAS Congruence Rule Angle-Angle-Side Two triangles are congruent, if two pairs of corresponding angles and one pair of opposite sides are equal in both triangles. In above figure there are two triangles, △CAB and △PQR △CAB and △PQR has two pairs of corresponding angles ∠A = ∠R, ∠C = ∠P and one pair of opposite sides side CB = side PQ. […]
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 →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 […]
Read More →