Geometry Equations of Parallel/Perpendicular Bisector

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

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

What is the equation of a line that is perpendicular to the line y = 3x + 2 and goes through the point (3, -4)?

• y = 3x - 2

• y = -1/3x - 5

• y = 3x - 4

• y = -1/3x - 3

Points A(1,3) & B(-3,5) are the endpoints of a chord on a circle with centre not at the origin. What is the equation of the perpendicular bisector of chord AB?

• y = 2x + 4

• y = 2x + 6

• y = -2x + 6

• y = 2x - 6

What is the midpoint between (8, -3) and (2, 5)

• (5, 1)

• (10, 2)

• (-5, -1)

• (3, 4)

Finish the Perpendicular Bisector Theorem: If CP is the perpendicular bisector of AB, then...

• CA = CB

• AP = PB

• Angle A = Angle B

Identify the perpendicular bisector.

Use the Perp Bisector Theorem to DC (hint...find x first and then plug it back in to DC)

Mathematical Equivalence

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By the Perpendicular Bisector Theorem, what is the value of x?