Parallelograms Flashcard

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that 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 70 degrees, what are the measures of the other angles?

Back

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

Front

What is the relationship between adjacent angles in a parallelogram?

Back

Adjacent 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 distance formula or by applying the law of cosines.

Front

If the lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the maximum possible length of a diagonal?

Back

The maximum possible length of a diagonal is 17 cm, which occurs when the angle between the sides is 180 degrees.

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 10 cm and the height is 5 cm, what is the area?

Back

The area is 50 cm² (10 cm × 5 cm).

Front

What is the relationship between the diagonals of a parallelogram?

Back

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