Parallelogram and Rectangle HW

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.

Front

What are the properties of a rectangle?

Back

A rectangle is a parallelogram with four right angles (90 degrees) and opposite sides that are equal in length.

Front

How do you find the area of a parallelogram?

Back

Area = base × height, where the base is the length of one side and the height is the perpendicular distance from that side to the opposite side.

Front

How do you find the perimeter of a rectangle?

Back

Perimeter = 2 × (length + width).

Front

If two sides of a parallelogram are equal, what can be said about the opposite sides?

Back

The opposite sides are also equal in length.

Front

What is the relationship between the angles in a parallelogram?

Back

Opposite angles are equal, and consecutive angles are supplementary (add up to 180 degrees).

Front

How do you solve for x in a parallelogram when given angles?

Back

Use the properties of angles in a parallelogram: set up equations based on the relationships between the angles.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

If one angle of a rectangle is 60 degrees, what are the other angles?

Back

All angles in a rectangle are 90 degrees, so this is not possible.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other but are not necessarily equal.