5.6 Parallel and Perpendicular Lines Investigation
This is applet is for investigating parallel and perpendicular lines. Using the applet, answer the questions on a piece of paper or in a google doc. The answers will be posted towards the end of class.
Parallel and Perpendicular Line Investigation
1. Look at the three lines and their equations color coded red, green and blue.
Find the following:
Red Line m = ________ b = _________
Blue Line m = ________ b = _________
Green Line m = ________ b = ________
The product of the slopes from the blue and green lines = _________
The measure of angle α = __________
2. Move Point B to (1, 4) and find the following:
Red Line m = ________ b = _________
Blue Line m = ________ b = _________
Green Line m = ________ b = ________
The product of the slopes from the blue and green lines = _________
The measure of angle α = __________
3. Move Point B to (3, 1) and find the following:
Red Line m = ________ b = _________
Blue Line m = ________ b = _________
Green Line m = ________ b = ________
The product of the slopes from the blue and green lines = _________
The measure of angle α = __________
4. What do you notice about the slopes (m) of the lines?
Slopes of parallel lines are ________________.
The product of perpendicular slopes MUST equal __________.
Perpendicular lines always form an angle of _ _ degrees.
5. Move Point B to the origin (0, 0) and write the equations for the:
Red Line
Blue Line
Green Line
6. What conclusions can you make based on the equations from part 5?