Parallelograms (Section 6-2)

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.

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 each 110 degrees.

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 a side in a parallelogram if you know the lengths of the other sides?

Back

In a parallelogram, opposite sides are equal in length.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using 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 significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of the diagonals of a parallelogram are 8 cm and 6 cm, what can be said about their intersection?

Back

The diagonals intersect at a point that divides each diagonal into two equal segments.