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 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

What is the relationship between the angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent, and consecutive angles are supplementary (add up to 180 degrees).

Front

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

Back

To find the length of a diagonal in a parallelogram, you can use the properties of triangles formed by the diagonals and the sides, often applying the Pythagorean theorem.

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

What does it mean for diagonals to bisect each other in a parallelogram?

Back

It means that the diagonals of a parallelogram intersect at their midpoints, dividing each diagonal into two equal segments.

Front

Which pairs of angles are congruent in a parallelogram?

Back

In a parallelogram, angles A and C are congruent, and angles B and D are congruent.

Front

What is a property that is NOT true for parallelograms?

Back

Diagonals are not necessarily congruent in a parallelogram; this property is true for rectangles and squares.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral can be determined to be a parallelogram if one of the following conditions is met: 1. Opposite sides are equal. 2. Opposite angles are equal. 3. The diagonals bisect each other.

Front

What is the significance of consecutive angles in a parallelogram?

Back

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