parallelograms

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 parallelogram?

Back

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

Front

How can you prove that a quadrilateral is a parallelogram?

Back

You can prove a quadrilateral is a parallelogram by showing that either: 1. Both pairs of opposite sides are parallel. 2. Both pairs of opposite sides are equal. 3. Both pairs of opposite angles are equal. 4. The diagonals bisect each other.

Front

If the lengths of two opposite sides of a parallelogram are 10 cm and 10 cm, what can be said about the other two sides?

Back

The other two sides must also be equal in length to maintain the properties of a parallelogram.

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

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 5 cm and the height is 4 cm, what is the area?

Back

Area = 5 cm × 4 cm = 20 cm².

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

Front

If QR is a midsegment of triangle WXY, and WX = 12 cm, what is the length of QR?

Back

QR = 1/2 * WX = 1/2 * 12 cm = 6 cm.