1. Hon Geom Drill #3.07 2/13/15
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2. Hon Geom Drill #3.07 2/13/15
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3. Hon Geom Drill #3.07 2/13/15
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4. Hon Geom Drill #3.07 2/13/15
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5. Hon Geom Drill #3.07 2/13/15
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6. Objective
•STW prove and apply properties
of perpendicular bisectors,
angle bisectors, midsegments,
and medians of a triangle

7. GSP Investigations!!!
•Pick a partner and you need a
device between the two of you
and a packet each.

8. Example 1: Using Properties of Perpendicular Bisectors
G is the circumcenter of ∆ABC. By the
Circumcenter Theorem, G is equidistant
from the vertices of
∆ABC.
DG, EG, and FG are the perpendicular
bisectors of ∆ABC. Find GC.
GC = CB
GC = 13.4
Circumcenter Thm.
Substitute 13.4 for GB.

9. Use the diagram. Find GM.
GM = 14.5
MZ is a perpendicular bisector of ∆GHJ.

10. Use the diagram. Find GK.
GK = 18.6

11. Example 3A: Using Properties of Angle
Bisectors
MP and LP are angle bisectors of
∆LMN. Find the distance from P to MN.
P is the incenter of ∆LMN. By the
Incenter Theorem, P is equidistant
from the sides of ∆LMN.
The distance from P to LM is 5. So the
distance from P to MN is also 5.

21. 3. Lee’s job requires him to travel to X, Y, and Z. What
construction should he use to find a house equal
distance from all of his job sites.

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