Another parking lot design.
Use grid paper to graph the following points: U(1,6), V(4,12), W(5,4), X(6,6), Y(9,2) and Z(12,8).
Draw UV , WX , YZ and UY .
Use a protractor to measure angle VUW, angle XWU, angle XWY, and angle ZYW. What do you
notice about these angles?
How are the lines related?
Find the slope of: VU , XW , ZY , and UY . What do you notice about these slopes? What is
the relationship between the slopes of VU and UY ? What is their product?
What can you conclude about slopes of perpendicular lines?
What can the y-intercepts of perpendicular lines tell you?
Write equations in slope/intercept form for VU , XW , ZY , and UY .
Write equations for three lines that are perpendicular to the line with equation y=2x+9.
Give a general rule for the slopes of 2 lines that are parallel.
Give a general rule for the slopes of 2 lines that are perpendicular.
How many lines can be drawn through point W that is perpendicular to UY ?
Do you think this will hold true for every point? If so, give a general rule. If not, explain why.