Polygons

What is a polygon?

• A polygon is a closed shape with straight sides.

• A polygon is an open shape with straight sides.

• A polygon is a shape with both straight and curved sides.

• A polygon is a shape with curved sides.

Name three types of polygons.

• Hexagon

• Nonagon

• Octagon

• Triangle, Quadrilateral, Pentagon

What are the properties of a polygon?

• The properties of a polygon include having straight sides, vertices where the sides meet, interior angles, exterior angles, and the sum of interior angles formula (180 * (n - 2) where n is the number of sides).

• A polygon has no interior angles

• A polygon has curved sides

• A polygon has an exterior angle of 90 degrees

Define regular polygons.

• Regular polygons have sides of different lengths and angles of varying measures.

• Regular polygons are polygons with all sides and angles equal.

• Regular polygons are always concave in shape.

• Regular polygons can have both acute and obtuse angles.

Differentiate between regular and irregular polygons.

• Regular polygons have all angles equal but sides different, while irregular polygons have sides and angles of different lengths and measures.

• Regular polygons have all sides equal but angles different, while irregular polygons have sides and angles of different lengths and measures.

• Regular polygons have all sides and angles equal, while irregular polygons have sides and angles of different lengths and measures.

• Regular polygons have all sides and angles equal, while irregular polygons have sides and angles of the same lengths and measures.

What are interior angles of a polygon?

• The interior angles of a polygon decrease as the number of sides increases

• The interior angles of a polygon are measured in radians

• The interior angles of a polygon are always equal

• The interior angles of a polygon can be calculated using the formula (n-2) * 180 / n degrees, where n is the number of sides of the polygon.

How do you calculate the sum of interior angles of a polygon?

• n^2 * 180 degrees

• (n-2) * 180 degrees

• n * 180 degrees

• (n+2) * 180 degrees

What are exterior angles of a polygon?

• Exterior angles of a polygon are equal to 180 degrees when summed together.

• Exterior angles of a polygon are equal to 360 degrees when summed together.

• Exterior angles of a polygon are always acute angles.

• Exterior angles of a polygon are always congruent to each other.

How do you calculate the sum of exterior angles of a polygon?

• 90 degrees

• 360 degrees

• 270 degrees

• 180 degrees

How many sides does a hexagon have?

• 3

• 8

• 10

• 6