geo 5.1 day 43.notebook - bisd303.org · if a point is on the perpendicular bisector of a segment ,...
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Geo 5.1 day 43.notebook January 03, 2017
1. What is a perpendicular bisector? Draw an example of one.
2. What is an angle bisector? Draw and example of one.
3. Find the midpoint, slope, and distance of the segment (2, 8) and (–4, 6).
xo
5z
y 10
43o
4. Find x, y, and z
Warm Ups Day 43 get a new Warm Up sheet!
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3. Find the midpoint, slope, and distance of the segment (2, 8) and (–4, 6).
(4, 6)(2,8)
Geo 5.1 day 43.notebook January 03, 2017
.
xo
5z
y 10
43o
4. Find x, y, and z
Perpendicular Bisector Construction
106°
240
Geo 5.1 day 43.notebook January 03, 2017Perpendicular Bisector TheoremIf a point is on the perpendicular bisector of a segment, then it is
_____________________________________________________
Converse of Perpendicular Bisector TheoremIf a point is equidistant from the endpoint of a segment then it is
_____________________________________________________
equidistant from the endpoints of the segment.
on the perpendicular bisector of the segment.
Find MN.
Is this the theorem or converse?
On mats.. N is a point on the perpendicular bisector of ML
Geo 5.1 day 43.notebook January 03, 2017
Find BC.
Is this the theorem or converse?
A is equidistant from B and C
Find TU.
Geo 5.1 day 43.notebook January 03, 2017
Given that line ℓ is the perpendicular bisector of DE and EG = 14.6, find DG.
Angle Bisector TheoremIf a point is on the bisector of an angle, then it is
________________________________equidistant from the sides of the angle.
Converse of the Angle Bisector TheoremIf a point is in the interior of an angle is equidistant from the sides of the angle, then it is
________________________________ on the bisector of the angle.
Geo 5.1 day 43.notebook January 03, 2017
Find BC.
Is this the theorem or converse?
C is a point on the bisector of <BAD
Is this the theorem or converse?
Find m∠EFH, given that m∠EFG = 50°.
H is equidistant from FE and FG
Geo 5.1 day 43.notebook January 03, 2017
Find m∠MKL.
Write an equation in pointslope form for the perpendicular bisector of the segment with the given endpoints.
M(5,4) and N(1,2)
Step 1) Find slope of MN, and use the perp. slope
Step 2) Find the midpoint of MN.
Step 3) Write the equation of the line
together..
Geo 5.1 day 43.notebook January 03, 2017
Write an equation in point slope form for the perpendicular bisector of the segment with
endpoints C(6, 5) and D(10,1)
On mats, in groups....
By yourself....
Find the equation of the perpendicular bisector of segment with endpoints (3, 7) and ( 1, 15)
Geo 5.1 day 43.notebook January 03, 2017
Perpendicular Bisector ConstructionWhat did those theorems say?
0°
240
Construct the Angle Bisector
70°
95