Parallelograms Fast & Curious

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

The properties of a parallelogram include: opposite sides are equal, opposite angles are equal, the diagonals bisect each other, and consecutive angles are supplementary.

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 distance formula or apply the properties of triangles formed by the diagonals.

Front

What is the relationship between the angles in a parallelogram?

Back

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

Front

If one angle of a parallelogram is 70 degrees, what are the other angles?

Back

If one angle is 70 degrees, the opposite angle is also 70 degrees, and the other two angles are 110 degrees each (since they are supplementary to 70 degrees).

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

How do you determine the height of a parallelogram?

Back

The height of a parallelogram is the perpendicular distance from the base to the opposite side.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half at their intersection point.

Front

How can you prove that a quadrilateral is a parallelogram?

Back

A quadrilateral can be proven to be a parallelogram if one of the following conditions is met: both pairs of opposite sides are equal, both pairs of opposite angles are equal, or the diagonals bisect each other.

Front

What is the relationship between the sides of a parallelogram?

Back

In a parallelogram, opposite sides are equal in length and parallel to each other.