Corresponding Angles – Definition – Examples Two angles that are corresponding are those that are located on the same side of a transversal in identical relative position. They typically result from a transversal cutting two lines, whether they are parallel or not. In other words corresponding angles formed when a transversal line cuts across two […]

Read More →

Alternate Angles: Definition and Types In this tutorial we will learn definition and types of alternate angles. In geometry, alternate angles are a special kind of angles. Alternate interior angles are formed when a transversal intersect two parallel or non-parallel lines. If a straight line intersects two lines, in the same plane at two distinct […]

Read More →

Alternate Exterior Angles – Definition – Examples and Properties What are alternate exterior angles? The term alternate exterior angles is often used when two lines are intersected by a third line(transversal). Alternate exterior angles are formed when two lines are intersected by a third line. The third line is known as the transversal line. Alternate […]

Read More →

Two triangles on the same base (or equal bases) and between the same parallels are equal in area. Given: △ ABC and △ PBC are two triangles on same base (or equal bases) BC and between the same parallels, BC and AP. To prove: ar △ ABC = ar △ PBC Construction: Through B, draw BD ∥ CA intersecting PA produced at D, and […]

Read More →

 Co – Prime Numbers What are Co-prime Numbers? The pairs of numbers that do not have any common factor other than one are co-prime numbers. Let a and b are two positive integers are called co-prime numbers, if the only one 1 as their common factor. (a, b) is said to be a co-prime pair. […]

Read More →

Plot Points on Cartesian Coordinate System Example: Plot the point (2, 3) and identify its position in which quadrant is located. First we will place a dot at the intersection of X and Y axis, which is the center of the Cartesian coordinate and known as the origin. From the origin, move 2 units going right. Our point is […]

Read More →

Theorem – The line segment joining the mid-points of two sides of a triangle is parallel to the third side. Given: A triangle △ABC, in which D and E are mid points of sides AB and AC respectively. DE is joined. To prove: Line joining the mid points D and E (DE) is parallel to the third line […]

Read More →

 Theorem – Alternate Interior Angles are Equal  If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Given: Two parallel Lines AB and CD, and PS be transversal intersecting AB at Q and CD at R. To Prove: Each pair of alternate interior angles are equal. i.e. ∠BQR = ∠CRQ and ∠AQR = ∠QRD […]

Read More →

History of Coordinate Geometry The Cartesian system or the rectangular coordinate system was invented in seventeenth century by Rene Descartes, the great French philosopher and mathematician. The coordinate system is also called the Cartesian system. Geometry was well developed to describe the dimension of an object, but it does not describe the position of an object. So, to […]

Read More →

What is Ordinate Ordinate is the value of the Y coordinate on a coordinate plane. or Ordinate is the value of the Y axis on a coordinate plane. In a coordinate plane, the Ordinate is the Y coordinate of a point. The Vertical line is called the Y axis. The distance of a point from the X axis is called its Y coordinate or Ordinate. The Ordinate always comes […]

Read More →