LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

POLYGONS

**POLYGON -**

**A simple closed curve made of line segments only is called a polygon.**

**Rectangle, square, triangle, circle… are all polygons.**

**TYPES OF POLYGONS -**

**1. TRIANGLE :-**

**A polygon which is made of three line segments is called a triangle.**

**A triangle has three sides, three angles and three vertices (or corners).**

**Sides => Segment AB, BC, CA**

**Vertices => Points A, B, C**

**Angles => Angles A, B, C**

**2. QUADRILATERAL :-**

**A simple closed figure bounded by four line segments
is called a quadrilateral.**

**A quadrilateral has four sides, four angles, four vertices
(or corners) and two diagonals.**

**The line segment that joins the two opposite vertices of a quadrilateral is called a diagonal.**

**4 Sides => AB, BC, CD, DA**

**4 Angles => ∠A, ∠B, ∠C, ∠D**

**2 Diagonals => AC, BD**

__3. RECTANGLE :-__

**A quadrilateral whose opposite sides are equal and
all four angles
are equal is called
a rectangle.**

**The longer side of the rectangle
is called length while the shorter side of the rectangle is called width or breadth.**

**Each angle of the rectangle
measures 90°. The diagonals are equal.**

**4 Sides => AB, BC, CD, DA**

**2 Equal sides => AB, DC and AD, BC**

**2 Equal parallel sides are => AB ∥ DC & AD ∥ BC**

**4. SQUARE :-**

**A quadrilateral having all its sides equal and all its angles
equal is called a square.**

**Each angle of the square measures 90°. The diagonals
are equal.**

**4 Sides are equal => AB = BC = CD = DA**

__5. CIRCLE :-__

**A circle is
a simple closed curve with a center.**

__TYPES OF TRIANGLES : (BASED ON LENGTH OF THEIR SIDES) -__

__1. SCALENE TRIANGLE :-__

**A triangle of whose all sides are unequal, is called a scalene triangle.**

**Here, AB ≠ BC ≠ CA**

**2. ISOSCELES TRIANGLE :-**

**A triangle having two of its sides equal (congruent) is called an isosceles triangle.**

**Here, AB = AC, but BC ≠ AB, and BC ≠ AC**

**3. EQUILATERAL TRIANGLE :-**

**A triangle
in which all the three sides are equal (congruent) is called an equilateral triangle.**

**Here, AB = BC = CA**