5-1 CW-Properties of Parallelograms

Front

What is 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 opposite angles in a parallelogram?

Back

The opposite angles of a parallelogram are congruent (equal in measure).

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

Front

If one angle of a parallelogram is 60 degrees, what are the measures of the other angles?

Back

The opposite angle is also 60 degrees, and the adjacent angles are 120 degrees each.

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

How do you find the length of the diagonal in a parallelogram?

Back

The length of a diagonal can be found using the formula: d = √(a² + b² - 2ab*cos(θ)), where a and b are the lengths of the sides and θ is the angle between them.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: Area = base × height.

Front

If the base of a parallelogram is 5 cm and the height is 10 cm, what is the area?

Back

Area = 5 cm × 10 cm = 50 cm².

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what can be said about the opposite sides?

Back

The opposite sides of a parallelogram are equal in length, so the other two sides are also 8 cm and 6 cm.