Flashcard 6-1 to 6-3 Polygons and Parallelograms

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Front

What is the formula to calculate the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon with n sides is given by the formula: (n - 2) × 180°.

Front

Calculate the sum of the interior angles of a hexagon (6-gon).

Back

The sum of the interior angles of a hexagon is (6 - 2) × 180° = 720°.

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal. 2. Opposite angles are equal. 3. The diagonals bisect each other.

Front

If one angle of a parallelogram is 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the adjacent angles are 110° each.

Front

What is the relationship between the angles of a triangle and a polygon?

Back

The sum of the interior angles of a triangle is always 180°, which is a specific case of the polygon angle sum formula.

Front

Solve for x: 2x + 4 = 16.

Back

x = 6.

Front

What is the sum of the interior angles of a 22-gon?

Back

The sum of the interior angles of a 22-gon is (22 - 2) × 180° = 3600°.

Front

If the interior angles of a polygon are 120°, 130°, and 150°, what is the sum of the remaining angles?

Back

The sum of the remaining angles can be calculated using the polygon angle sum formula.