Perpendicular Bisectors and Angle Bisectors

Identify the perpendicular bisector.

If DA is the perpendicular bisector or EI, then

• <IAD and <DAE are right angles

• DI=DE

• EA=IA

• All of the above

Find AD

• 8.4

• 16.8

• 20

• 10

Find the value of x

• 3

• 6

• 2.7

• 5.4

Find x, then the measure of TS

• x=6, TS=15

• x=6, TS=30

• x=5, TS=15

• x=5, TS=30

Find x, then the measure of AD

• x=5, AD=19

• x=5, AD=38

• x=1, AD=19

• x=1, AD=38

Find m∠ABD.

Find the measure of XY.

Answer explanation

WOW! You were able to use the converse of the perpendicular bisector theorem.

Use the Perp Bisector Theorem to find PQ

• 10

• 3

• -2

• 5

What goes from the middle of a side and is perpendicular to that same side?

• Perpendicular Bisector

• Midsegment

• Angle Bisector

• Altitude