Polygons, 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 four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.

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

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 does it mean for diagonals to bisect each other in a parallelogram?

Back

It means that the diagonals divide each other into two equal parts.

Front

Which of the following is NOT a property of a parallelogram? Diagonals bisect each other, Diagonals are congruent, Both pairs of opposite sides are parallel, Both pairs of opposite angles are congruent.

Back

Diagonals are congruent.

Front

Find the value of x if the angles of a parallelogram are 112° and x°.

Back

x = 68°.

Front

What is the relationship between the opposite angles of a parallelogram?

Back

The opposite angles of a parallelogram are equal.

Front

If two sides of a parallelogram are 10 cm and 15 cm, what are the lengths of the opposite sides?

Back

The opposite sides are also 10 cm and 15 cm.