Proving and using geometric properties

Write the equation of the perpendicular bisector of the line AB given:
A(4,-2) & B(4,4)

• y = 2
• x = 1
• y = x + 1
• y = 1

What is the missing step in constructing a perpendicular bisector of a line segment?

• Without changing the compasses' width, draw an arc only above the line.

• Without changing the compasses' width, draw an arc above and below the line.

• Without changing the compasses' width, draw an arc only below the line.

Which is the geometric mean for this triangle?

• $AD=BD*DC$

• $BD^2=AD\cdot BC$

• $BD=AD\cdot BC$

• $BC=AD*BD$

See diagram

• 1

• 2

• 3

• 4

Based on the construction above which of the following are always true, choose all that apply.

• 
• AB=CD

• AE=EB

• CE=ED

• AC=BC

Name the construction

1) Draw a circle; center: A, any radius

2) Label each intersection of the circle and the ray (B and C)

3) Draw a circle, center B, radius BC

4) Draw a circle, center C, radius CB

5) Label the intersection of Circle B and Circle C (D)

6) Draw a vector from vertex A to D

• Equilateral Triangle

• Points of Concurrency

• Perpendicular Bisector

• Angle Bisector

Find x and the length of each segment.

• x=4 WY=15 WZ=15

• x=9 WY=20 WZ=20

• x=5 WY=16 WZ=16

• x=8 WY=27, WZ=27

Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?

• A

• B

• C

• D

Find AE

• 12.5

• 18

• 11.75

• 13

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