6.2 Properties of Parallelograms

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

In a parallelogram, opposite angles are equal.

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

How do you find the length of a side in a parallelogram using the properties of parallel lines?

Back

Use the properties of parallel lines and transversals to set up equations based on corresponding or alternate interior angles.

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 the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

The perimeter is 2(5 cm + 12 cm) = 34 cm.

Front

How do you calculate the area of a parallelogram?

Back

Area = base × height.

Front

What is the relationship between the sides of a parallelogram and its area?

Back

The area of a parallelogram can be affected by the lengths of its sides and the height from the base to the opposite side.

Front

If DE = 3a + 2 and GF = 2a + 8, how do you find the value of a?

Back

Set the equations equal to each other: 3a + 2 = 2a + 8, then solve for a.