Polygons are 2D shapes with multiple straight sides and angles. They are closed figures made of n line segments connected at their endpoints. Key parts of polygons include vertices (where lines meet), edges (the line segments), interior angles, and exterior angles. There are different types of polygons categorized by the number of sides, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), and polygons with 6 or more sides. Special polygons have names corresponding to their number of sides, such as triangles, quadrilaterals, pentagons, etc. Triangles specifically are three-sided polygons where the sum of the interior angles is always 180 degrees.

1. POLYGONS-I
Dr. Farhana Shaheen

2. What are
polygons?
• “Poly” means
Many…and
“Gons” means
“Angles”.
Polygons (Many
Angles) is a closed
2D figure, made
with n lines and n
angles.

3. Note:
• The point
where two
line-segments
meet is called
a Vertex.

4. POLYGONS
• “Poly” means
Many…and
“Gons” means
“Angles”.
• Polygons is a closed
n sided figure with
n angles.

5. POLYGON
PARTS
• EDGES
• VERTICES
• DIAGONALS
• INTERIOR ANGLES
• EXTERIOR ANGLES

7. DIFFERENTIATE

8. FAMILY OF
POLYGNS
• TRIANGLES
• QUADRILATERALS
• PENTAGONS
• HEXAGONS
• HEPTAGONS
• OCTAGONS
• NONAGONS
• DECAGONS, ….ETC

9. SPECIAL
POLYGONS
• Tri means Three
• Quad means Four
• Penta means Five
• Hexa means Six
• Hepta means Seven
• Octa means Eight
• Nona means Nine
• Deca means Ten

10. TRIANGLES
• TRI means Three…
• A Triangle is a Three-
sided figure.

18. Ques: 2 Find x?

19. Practice
TEST-I
• Note: Sum of
three angles in
a Triangle is
always equal
to 180 degrees.

20. Example.1 : Find y?
• Note: The Exterior angle in a Triangle is equal to the sum of the
opposite interior angles.

21. Ques-2:

23. • Find x?

24. Ques:3 Find the
missing angles.

25. Ques:4 Find the
missing angles.

26. Ques:5 Find the
missing angles.

27. Ques:6 Find the
missing angles.

28. POLYGONAL
FAMILY