Geometric Properties

Which is the geometric mean for this triangle?

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

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

Identify the perpendicular bisector.

In a line segment AB = 5.6 cm and its perpendicular bisector. Measure the length of each part.

• 2.7 cm

• 2.8 cm

• 2.9 cm

• 2.6 cm

YW is the perpendicular bisector of XZ. Is triangle YWX≅ Triangle YWZ? If so how?

• no

• yes, SSS

• yes, SAS

• yes, ASA