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Parallel & Perpendicular Lines

PARALLEL LINES

The following applet demonstrates a property that parallel lines have when they're drawn in the coordinate plane. Be sure to move the blue points around quite a bit!

QUESTION 1

If you move the blue points to make the lines vertical, are the lines considered parallel?

What can you conclude about parallel lines drawn in the coordinate plane?

PERPENDICULAR LINES

This applet demonstrates a property that perpendicular lines have when they're drawn in the coordinate plane. Be sure to move the points around quite a bit and observe carefully as you do!

Multiple the gradient of each line. What do you notice?

What can you conclude about the gradients of perpendicular lines that are drawn in the coordinate plane?