Geometry: UV 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 the opposite angles in a parallelogram?

Back

The opposite angles in a parallelogram 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

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

How do you find the area of a parallelogram?

Back

The area of a parallelogram is found using the formula: Area = base × height.

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 the sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

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

Front

What is the formula for the length of the diagonals in a parallelogram?

Back

The lengths of the diagonals can be found using the formula: d1^2 + d2^2 = 2(a^2 + b^2), where a and b are the lengths of the sides.

Front

If a parallelogram has a base of 10 cm and a height of 4 cm, what is its area?

Back

The area is 10 cm × 4 cm = 40 cm².

Front

What is the significance of the base and height in a parallelogram?

Back

The base is one side of the parallelogram, and the height is the perpendicular distance from the base to the opposite side.