Exploring Parallel and Perpendicular Lines
Explore The Slopes of lines that are parallel and Perpendicular to a given line (in red).
Click Show Parallel or Show Perpendicular to get started.
Drag the two original blue points to create a new starting line. (Drag point D to move the parallel line.)
Parallel Line: Create a few lines through two given points.
Note the slopes of the original lines, and the slopes of the Parallel Lines.
What do you notice about the slopes?
Think of a rule that parallel lines have to follow.
Perpendicular lines: Create a few lines through two given points.
Note the slopes of the original lines and the slopes of the Perpendicular lines.
What do you notice about the slopes?
Think of a rule that perpendicular lines have to follow.