Exploring Polygons

What is a polygon?

• A polygon is an open figure with straight sides.

• A polygon is a three-dimensional shape.

• A polygon is a figure with curved sides.

• A polygon is a closed figure with straight sides.

How many sides does a triangle have?

• 2

• 3

• 5

• 4

What is the name of a polygon with four sides?

• Triangle

• Hexagon

• Pentagon

• Quadrilateral

What do you call a polygon with five sides?

• pentagon

• octagon

• quadrilateral

• hexagon

What is the sum of the interior angles of a hexagon?

• 360 degrees

• 540 degrees

• 720 degrees

• 1080 degrees

How do you calculate the interior angle of a regular polygon?

• The interior angle of a regular polygon is (n - 2) * 180 / n degrees.

• The interior angle is always 90 degrees regardless of the number of sides.

• The interior angle is (n + 2) * 180 / n degrees.

• The interior angle is calculated as n * 180 / (n - 2) degrees.

What is the measure of each interior angle in a regular pentagon?

• 90 degrees

• 135 degrees

• 120 degrees

• 108 degrees

What is the relationship between the number of sides and the sum of the exterior angles of a polygon?

• The sum of the exterior angles is equal to the number of sides.

• The sum of the exterior angles is always 180 degrees.

• The sum of the exterior angles of a polygon is always 360 degrees.

• The sum of the exterior angles varies depending on the polygon type.

What is the difference between a regular and an irregular polygon?

• Irregular polygons are always three-sided shapes.

• Regular polygons can have varying angles but equal sides.

• The difference is that regular polygons have equal sides and angles, whereas irregular polygons do not.

• Regular polygons are only found in three dimensions.

Can a polygon have curved sides? Why or why not?

• Polygons can have sides that are partially curved.

• Some polygons can have one curved side.

• Yes, polygons can have curved sides.

• No, a polygon cannot have curved sides.