Parallelogram Coordinate Proofs

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 is the distance formula?

Back

Front

How can you prove that opposite sides of a parallelogram are equal?

Back

By using the distance formula to calculate the lengths of opposite sides and showing they are equal.

Front

What is the slope of a line?

Back

Front

How do you find the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero.

Front

How do you find the slope of a horizontal line?

Back

The slope of a horizontal line is 0 because there is no change in y.

Front

What is the midpoint formula?

Back

Front

What does it mean for diagonals to bisect each other?

Back

It means that the diagonals of a parallelogram intersect at their midpoints, dividing each diagonal into two equal segments.

Front

How can you prove that the diagonals of a parallelogram bisect each other?

Back

By using the midpoint formula to show that the midpoints of both diagonals are the same.

Front

What is a rhombus?

Back

A rhombus is a type of parallelogram where all four sides are of equal length.