Perpendicular Bisectors

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Presentation transcript:

Perpendicular Bisectors Millburn Academy Maths department Higher Perpendicular Bisectors

A PERPENDICULAR BISECTOR is a line that bisects (cuts in half) another line and it is at right angles to the line. B A Mid-point of AB We can find the equation of a perpendicular bisector if we know the coordinates of the points A and B.

Example 1 Find the equation of the perpendicular bisector of AB given the coordinates A(2,-3) and B(7,-5). We need the mid-point of AB. B (7,-5) We need the gradient of AB. M A(2,-3)

Exercise 1) Find the equation of the perpendicular bisector of P(9,5) and Q(-1,3). 2) Given that the triangle QRS have vertices (-3,1), (-4,-2) and (7,0). Find the equation of the perpendicular bisector of RS. Triangle ABC has vertices A(-1,6), B(-3,-2) and C(5,2). Find a) the equation of the line p, the median from C of the triangle ABC. b) the equation of the line q, the perpendicular bisector of BC. c) the coordinates of the point of intersection of the lines p and q.