Parallelogram Properties

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Both pairs of opposite sides are equal. 2. Both pairs of opposite angles are equal. 3. The diagonals bisect each other. 4. One pair of opposite sides is both equal and parallel.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If two angles of a parallelogram are 70 degrees, what are the measures of the other two angles?

Back

The other two angles are 110 degrees each, since opposite angles are equal and consecutive angles are supplementary.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

In a parallelogram, if one angle measures 60 degrees, what are the measures of the other angles?

Back

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

Front

What does it mean for sides to be parallel in a parallelogram?

Back

Parallel sides never meet and are always the same distance apart.

Front

How do you solve for a variable in a parallelogram's side lengths?

Back

Set up equations based on the properties of parallelograms (e.g., opposite sides are equal) and solve for the variable.

Front

What is the significance of opposite angles in a parallelogram?

Back

Opposite angles in a parallelogram are equal, which helps in solving for unknown angles.

Front

If SV = x + 3 and VU = 2x - 1 in parallelogram STUV, how do you find x?

Back

Set the equations equal to each other since opposite sides are equal: x + 3 = 2x - 1, then solve for x.