Coordinate Proof with Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

What are the properties of a rhombus?

Back

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

Front

What is the distance formula used for in coordinate proof?

Back

Front

How do you determine if a quadrilateral is a rectangle?

Back

A quadrilateral is a rectangle if it is a parallelogram with at least one right angle.

Front

What is the slope of a line?

Back

Front

What must be true for a quadrilateral to be classified as a parallelogram?

Back

A quadrilateral is a parallelogram if both pairs of opposite sides are parallel.

Front

What is the relationship between the slopes of opposite sides in a parallelogram?

Back

In a parallelogram, the slopes of opposite sides are equal.

Front

What is the significance of congruent sides in a parallelogram?

Back

In a parallelogram, opposite sides being congruent is a key property that helps in proving its classification.

Front

What is the definition of a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What is the relationship between a square and other quadrilaterals?

Back

A square is both a rhombus and a rectangle, meaning it has all sides equal and all angles right.