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