Interior & Exterior angle of a polygon In this lesson we will learn the, (1) Solutions of problems on interior and exterior angles of a polygon. Example 1: Find the sum of all interior angles in a regular triangle (3-sided). Solution: Step 1: Write the formula Sum of interior angles of a polygon = (n-2) […]
Read More →Convex Polygons: Definition – Examples and Properties All polygons is either convex or concave. A polygon will be convex or concave, it depends on the measure of their angles. If the measures of all interior angles is less 1800 than the polygon is convex, otherwise the polygon is concave. […]
Read More →Type of Polygons Definition A polygon is a two-dimensional shape form with more than three straight lines. In a polygon each side must be intersect exactly two other sides, but only at their end points and have a common endpoint. The sides have must noncollinear. The name of a polygon usually depends on how […]
Read More →Angle Bisector – Definition -Examples The angle(interior) bisector of an angle is a line or line segment that divides the angle into two (congruent)equal parts. The angle bisector is also called the internal angle bisector. In ∠ABC, BD is angle bisector of ∠ABC. In above figure BD is bisect the ∠ABC. ∵ ∠ABC = 900∴ ∠ABD = 450and ∠DBC = 450 ∠ABD and ∠DBC […]
Read More →Law of Tangents – Definition – Formula – Proof and Examples In trigonometry, the law of tangents describes the relationship between the sum and difference of sides of a right triangle and tangents of half of the sum and difference of the angles opposite to the sides. Formulas for law of tangents The law of tangents […]
Read More →We use many objects in our daily life, which are round in shape, such as wheels of a vehicle, sun, moon, a dinner plate, button of shirts etc. These are real examples of a circle. Let’s study about circle and it’s parts. Definition: 1. Circle A circle is a collection of […]
Read More →Diagonals of Polygon’s In geometry, a line segment joining two vertices of a polygon or polyhedron, when those vertices are not adjacent is known as Diagonal. Diagonals of Polygon’s A polygon’s diagonal’s are line segments, that joining from one corner to another corner. Formula for number of diagonals = n(n-3)/2 where n is number of sides or […]
Read More →Polygon – Interior and Exterior & Central Angles Interior angle of a regular polygon A regular polygon has all the interior angles same in measure, and all interior angles of polygon formed by each pair of adjacent sides. When a polygon has n sides n vertices and n interior angles. Interior angle = 1800 – Central angle […]
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 →Axis of Symmetry – Symmetrical Figures Definition – Axis of Symmetry: A line is drawn from the middle of the figure that acts like a mirror is known as Axis of Symmetry or Linear Symmetry. The line divides the figure into two symmetrical parts, then figure on one side is the mirror image of the figure on […]
Read More →