Proving Parallelograms in the Coordinate Plane

Front

What is the slope formula used to determine if two lines are parallel?

Back

Front

How can you prove that a quadrilateral is a parallelogram using the distance formula?

Back

Front

What is the relationship between a square and a rectangle?

Back

A square is always a rectangle because it has all the properties of a rectangle: opposite sides are parallel and all angles are right angles.

Front

What conditions must be met for a quadrilateral to be classified as a parallelogram?

Back

A quadrilateral is a parallelogram if either: 1) Both pairs of opposite sides are parallel, or 2) Both pairs of opposite sides are congruent.

Front

What does it mean for two lines to be parallel in the coordinate plane?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

How do you determine if two segments are congruent using the distance formula?

Back

Front

What is the significance of opposite sides being parallel in a parallelogram?

Back

If both pairs of opposite sides are parallel, it confirms that the quadrilateral is a parallelogram.

Front

What is the formula for finding the distance between two points in the coordinate plane?

Back

Front

If a quadrilateral has one pair of opposite sides that are both parallel and congruent, what can be concluded?

Back

The quadrilateral is a parallelogram.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.