Properties of 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. Diagonals bisect each other.

Front

How do you find the coordinates of point C in parallelogram ABCD?

Back

If A(a,b) and B(c,d) are two vertices, then C can be found using the formula C(a+c, b) if D is at the origin.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

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.

Front

Which property is NOT true for a parallelogram?

Back

Diagonals are congruent (this is true only for rectangles and rhombuses).

Front

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

Back

The opposite angle is also 70 degrees, and the adjacent angles are 110 degrees each.

Front

How do you determine if a quadrilateral is a parallelogram using coordinates?

Back

A quadrilateral is a parallelogram if the midpoints of its diagonals are the same.

Front

What is the relationship between adjacent angles in a parallelogram?

Back

Adjacent angles in a parallelogram are supplementary, meaning they add up to 180 degrees.