Perpendicular Bisectors

If you found the midpoint of line segment AB, what should you do next to find the equation of the perpendicular bisector?

• Use the midpoint and one of the points from AB to write the equation

• Use the midpoint and slope perpendicular to AB to write the equation

• Use the distance and midpoint to find the equation

• Skip it and hope it's not a test question

Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)

• y = -5/6x + 7/2

• y = 6/5x + 9/2

• y = 6/5x + 7/2

• y = 6/5x + 4

Given you have two points and are asked to find the perpendicular bisector, what step should you do first?

• Skip the problem

• Find the distance between the two points

• Find the equation of the line

• Find the midpoint of the two given points

Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)

• y = x - 4

• y = x + 4

• y = 1/2x -4

• y = x + 2

If line m is the perpendicular bisector of segment AB, find the value of x.

• x = 8

• x = - 8

• x = 16

• x = - 16

If CB is a perpendicular bisector, find the value of x.

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

Find the equation of the perpendicular bisector of the line as graphed.

Use the figure and the given information to find the indicated measure. ZX​ is the perpendicular bisector of  WY​, WZ=4n−13​ , and  YZ=n+17​ .

• 27

• 54

• 7

• 13

Identify the perpendicular bisector.