Perpendicular Bisectors with Ed and Leslie. Hey Ed, How about if we apply some of that math stuff we learned? Can we do that? Sure! But we will have to.

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Presentation transcript:

Perpendicular Bisectors with Ed and Leslie

Hey Ed, How about if we apply some of that math stuff we learned? Can we do that? Sure! But we will have to go back to the grid. That sounds like more fun than hanging out on this beach. Besides, you are getting pink in this sun.

Perpendicular Bisectors (-2, -2) (4, 6) Bisector, means we have to find to the midpoint. That’s right Ed, do you remember the formula? Midpoint is easy, it is just the average of the two x coordinates and the average of the two y coordinates. Very good! And, Les, the midpoint is always an ordered pair. That is a good thing to remember. The midpoint is (1,2), so the perpendicular bisector goes through the point (1,2) ( 1, 2) What if we wanted to find the equation of the line that is the perpendicular bisector of the line segment between the points, (- 2, -2) and (4, 6)?

Perpendicular Bisectors (-2, -2) (4, 6) ( 1, 2) If we knew the slope of the perpendicular bisector, we could use the point slope formula to find its equation. Hey Les, remember perpendicular lines have slopes that are negative reciprocals. Ed, You are such a math dawg. Whatever. If we calculate the slope of our line segment, we can find the slope of a line perpendicular to it. Let’s use the slope formula. It’s easy and fun to use. Our line has a slope of 4 over 3 or 4/3, so a line perpendicular to ours will have a slope of – 3/4. Now we can use the point slope formula to find the equation of the perpendicular bisector. We did it! We found the equation of the line that is the perpendicular bisector of the line segment between the points (-2, -2) and (4, 6). Yay!

To Find the Equation of the Line that is the Perpendicular Bisector of a Line Segment 1.Find the midpoint of the line segment, this point is on the perpendicular bisector 2.Find the slope of the original line segment 3.The negative reciprocal is the slope of the perpendicular bisector 4.Use the point slope form of the equation of a line to find the equation of the perpendicular bisector

Useful EquationsUseful Equations