Question

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lesson 4: symmetries of quadrilaterals
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1. define a polygon.

1. fill in the names of each polygon based on the number of sides the polygon has.

number of sides	name of polygon
4
5
6
7
8
9
10

Explanation:

Question 1: Define a polygon.

A polygon is a closed - two - dimensional figure made up of straight line segments (sides) that are connected end - to - end. The sides do not cross each other, and it is formed by at least three line segments. For example, a triangle (with 3 sides) and a quadrilateral (with 4 sides) are polygons.

Answer:

A polygon is a closed, two - dimensional figure with straight - line sides (at least 3), where sides don't cross.

Question 2: Fill in the names of each polygon based on the number of sides the polygon has.

We use the standard naming conventions for polygons based on the number of sides:

• For 3 sides: A polygon with 3 sides is called a triangle.
• For 4 sides: A polygon with 4 sides is called a quadrilateral.
• For 5 sides: A polygon with 5 sides is called a pentagon.
• For 6 sides: A polygon with 6 sides is called a hexagon.
• For 7 sides: A polygon with 7 sides is called a heptagon.
• For 8 sides: A polygon with 8 sides is called an octagon.
• For 9 sides: A polygon with 9 sides is called a nonagon.
• For 10 sides: A polygon with 10 sides is called a decagon.

Number of Sides	Name of Polygon
4	Quadrilateral
5	Pentagon
6	Hexagon
7	Heptagon
8	Octagon
9	Nonagon
10	Decagon