F3 Math Polygons Revision

Identify the type of polygon with 6 sides.

• Octagon

• Hexagon

• Decagon

• Pentagon

Answer explanation

A polygon with 6 sides is called a Hexagon, making it the correct choice among the options provided.

Calculate the interior angle of a regular pentagon.

• 108 degrees

• 135 degrees

• 120 degrees

• 90 degrees

Answer explanation

The interior angle of a regular pentagon can be calculated using the formula: (n-2) * 180 / n, where n is the number of sides. For a pentagon, it would be (5-2) * 180 / 5 = 108 degrees.

What are the properties of a regular hexagon?

• A regular hexagon has six equal sides and six equal angles. The interior angles measure 120 degrees each, and the sum of all angles is 720 degrees.

• A regular hexagon has seven equal sides and seven equal angles.

• A regular hexagon has five equal sides and five equal angles.

• A regular hexagon has four equal sides and four equal angles.

Answer explanation

A regular hexagon has six equal sides and six equal angles. The interior angles measure 120 degrees each, and the sum of all angles is 720 degrees.

Apply the polygon angle sum theorem to find the sum of interior angles in a heptagon.

• 720 degrees

• 900 degrees

• 1080 degrees

• 540 degrees

Answer explanation

The sum of interior angles in a heptagon can be found using the formula (n-2) * 180, where n is the number of sides. For a heptagon (7 sides), the sum is (7-2) * 180 = 900 degrees.

Solve a problem involving the exterior angles of a polygon with 8 sides.

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Answer explanation

The sum of exterior angles of any polygon is always 360 degrees. Therefore, each exterior angle of an 8-sided polygon is 45 degrees (360 degrees / 8 sides).

Classify a polygon with 4 sides and 4 right angles.

• Triangle

• Pentagon

• Circle

• Square

Answer explanation

A polygon with 4 sides and 4 right angles is a square, as it meets the criteria of having equal sides and right angles.

Calculate the exterior angle of a regular octagon.

• 30 degrees

• 75 degrees

• 60 degrees

• 45 degrees

Answer explanation

The exterior angle of a regular octagon is calculated by dividing 360 degrees by the number of sides, giving 45 degrees. Therefore, the correct answer is 45 degrees.

Identify the type of polygon with 10 sides.

• Hexagon

• Octagon

• Heptagon

• Decagon

Answer explanation

A polygon with 10 sides is called a Decagon, making it the correct choice among the options provided.

Determine the interior angle of a regular nonagon.

• 120 degrees

• 100 degrees

• 140 degrees

• 160 degrees

Answer explanation

The interior angle of a regular nonagon can be calculated using the formula (n-2) * 180 / n, where n is the number of sides. For a nonagon (9 sides), the interior angle is (9-2) * 180 / 9 = 140 degrees. Therefore, the correct answer is 140 degrees.

What are the properties of a regular decagon?

• A regular decagon has 8 equal sides and 8 equal angles.

• The sum of interior angles of a regular decagon is 180 degrees.

• A regular decagon has 12 equal sides and 12 equal angles.

• A regular decagon has 10 equal sides and 10 equal angles. The sum of its interior angles is 1440 degrees.

Answer explanation

A regular decagon has 10 equal sides and 10 equal angles. The sum of its interior angles is 1440 degrees, making this the correct choice.