pytha drill into lines of concurrency day 2
Post on 18-Jul-2015
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Hon Geom Drill #3.07 2/13/15
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Hon Geom Drill #3.07 2/13/15
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Hon Geom Drill #3.07 2/13/15
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Hon Geom Drill #3.07 2/13/15
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Hon Geom Drill #3.07 2/13/15
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Objective•STW prove and apply properties of perpendicular bisectors, angle bisectors, midsegments, and medians of a triangle
GSP Investigations!!!
•Pick a partner and you need a device between the two of you and a packet each.
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.
Use the diagram. Find GM.
GM = 14.5
MZ is a perpendicular bisector of ∆GHJ.
Use the diagram. Find GK.
GK = 18.6
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.
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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