Proving and Using Geometric Properties

What information are you missing from FG to KNOW that it is a perpendicular bisector?

• congruent angle markings

• congruent side markings

• The right angle

• nothing

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

Whats the next step in perpendicular to a line at a point on a line?

• Using the straight edge, draw a line from K to where the arcs cross.

• Connect the dots

• There are no more steps

• From P, mark off a short arc above K

What is the missing statement in the proof?

• 2m∠ABD=m∠ABD+m∠ABD

• m∠ABD=m∠DBC

• m∠ABC=m∠ABC

• m∠ABD+m∠ABD=m∠ABD+m∠DBC

Which of the following are true? Select all that apply.

• I am able to find x.

• I am able to find angle Z.

• I am able to find the missing sides.

• I am not able to find any missing side or angle.

Given 
∠BAN ≅ ∠NAC
BR = RC.
Segment PR is a(n)....

• Perpendicular Bisector

• Altitude

• Angle Bisector

• Median

Find the value of x using proportions.

• a

• b

• c

• d

Find x.

• 48

• 15

• 80

• 60

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?

• 10

• 12

• 15

• 18

Find X.