Understanding the Area of Regular Polygons

What is a regular polygon?

• A polygon with only equal angles

• A polygon with only equal sides

• A polygon with no equal sides or angles

• A polygon with all sides and angles equal

Which of the following is an example of a regular polygon?

• Rectangle

• Equilateral triangle

• Irregular pentagon

• Scalene triangle

How do you find the area of a regular polygon?

• By measuring its perimeter

• By dividing it into congruent triangles

• By using the Pythagorean theorem

• By calculating the sum of its angles

What is the apothem in a regular polygon?

• The height from the center to a side

• The angle between two sides

• The side length of the polygon

• The perimeter of the polygon

If a regular pentagon is divided into congruent triangles, how many triangles are formed?

• 4

• 3

• 6

• 5

What is the area of one triangle in a regular pentagon with a side of 20 and height of 14?

• 210 cm²

• 140 cm²

• 280 cm²

• 70 cm²

How many congruent triangles are formed in a regular hexagon?

• 4

• 5

• 7

• 6

What is the area of a regular hexagon if one triangle has an area of 7.56 m²?

• 52.92 m²

• 45.3 m²

• 30.24 m²

• 60.48 m²

How many congruent triangles can a regular decagon be divided into?

• 9

• 11

• 8

• 10

Why can't the method of dividing into congruent triangles be used for irregular polygons?

• Because their sides and angles are not equal

• Because they are not polygons

• Because they have more sides

• Because they have no center