Use Coordinates to Prove Simple Geometric Theorems

Front

What are the slopes of perpendicular lines?

Back

Opposite reciprocals.

Front

What are the slopes of parallel lines?

Back

Identical.

Front

How do you prove that two lines are perpendicular?

Back

By comparing their slopes.

Front

What type of quadrilaterals are rectangles?

Back

All rectangles are parallelograms.

Front

What do you need to calculate to prove a square?

Back

All slopes and all side lengths.

Front

What is the distance formula?

Back

d = √((x2 - x1)² + (y2 - y1)²) where (x1, y1) and (x2, y2) are points in the coordinate plane.

Front

What is the slope formula?

Back

m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points.

Front

What does it mean for lines to be parallel?

Back

They have the same slope and never intersect.

Front

What is a parallelogram?

Back

A quadrilateral with opposite sides that are equal and parallel.

Front

What is a rectangle?

Back

A parallelogram with four right angles.