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

Define a parallelogram.

Back

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. Diagonals bisect each other.

Front

What is the sum of the interior angles of a polygon with n sides?

Back

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

Front

Calculate the sum of the interior angles of a heptagon.

Back

The sum of the interior angles of a heptagon (7 sides) is (7-2) × 180° = 900°.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If two opposite angles of a quadrilateral are equal, what can be inferred?

Back

If two opposite angles are equal, the quadrilateral is a parallelogram.

Front

What does it mean for sides to be congruent?

Back

Congruent sides are sides that are equal in length.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if either: 1. Both pairs of opposite sides are parallel. 2. Both pairs of opposite angles are equal.

Front

If DE = 4x + 7 and EB = 5x - 4, how do you find x?

Back

Set the equations equal: 4x + 7 = 5x - 4.