Writing Equations of Perpendicular Bisectors & determining where they intersect in a Triangle

Given triangle KIM with coordinates K (0, 6) I(0, -6) and M (12, 0):

1. Write the equation of the perpendicular bisector of side KI. (hint: remember, to write the equation of any line, you MUST have two things....what are the 2 things? Yes, the slope of the line and a point ON the line!) (Hint #2: what do you know about the slopes of perpendicular lines?) (hint #3: what does the word "bisect" mean? Therefore, a point on the line would be the......? Yes! midpoint! How do you find the midpoint? avg of the x's and the avg of the y's)
2. Write the equation of the perpendicular bisector of side IM.
3. Write the equation of the perpendicular bisector of KM.
4. Where do the perpendicular bisectors of KI and IM intersect? (hint: solve a system of equations. Use the equations from problems 1 and 2)

Given triangle ABC with coordinates A (4, -2) B (8, -4) and C (12, 3):

1. Write the equation of the perpendicular bisector of side AB. (hint: remember, to write the equation of any line, you MUST have two things....what are the 2 things? Yes, the slope of the line and a point ON the line!) (Hint #2: what do you know about the slopes of perpendicular lines?) (hint #3: what does the word "bisect" mean?)
2. Write the equation of the perpendicular bisector of side AC.
3. Write the equation of the perpendicular bisector of BC.
4. Where do the perpendicular bisectors of AB and AC intersect? (hint: solve a system of equations. Use the equations from problems 1 and 2)

I suggest that you have a Barnes & Noble day sometime this weekend with some friends and get a study group going. 4 heads working together is better than 1!

Have a PG-13 weekend!