Midpoint Theorem and Perpendicular Bisectors

Which of the following describes a perpendicular bisector of a triangle?

• A segment that is perpendicular to the side of a triangle at its midpoint.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees. 

• Find the slope of AB

• Find the distance of BC

• Find the midpoint of AB

• Use negative reciprocal of the slope of AB

How do you find the midpoint of a segment?

• find the average of the x values and the average of the y-values of the two endpoints

• find the difference in the x values and the y-values of the two endpoints

• rise over run

• you can't - trick question

Find BC.

• BC = 4

• BC = 16

• BC = 12

• BC = 24

Identify the perpendicular bisector.

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

• 1
• 2
• 3
• 4

Find the length of AD

• 2

• 4

• 6

• 8

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

• Midsegment

• Incenter

• Circumcenter

• Centroid

The figure is an example of a(n) ...

• altitude 

• perpendicular bisector

• midsegment

• angle bisector