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Geo 5.1- Perpendicular & Angle Bisectors
Contributed by: DiLaura
Which picture shows a line that is the  angle bisector?
Definition:  Angle bisector is the line that passess through the vertex of an angle divides thatangle into two equal angles. 
A)
B)
Definition:  Perpendicular bisector is the line that passess through the midpoint of a segment at a 90 degree angle. 
Which picture shows a line that is the 
perpendicular bisector?
A)
B)
C)
Which term best describes line n?
A
n
angle bisector
perpendicular bisector
right angle
bisector
D
Fact: All points on the perpendicular bisector of a segmentare the SAME DISTANCE to the endpoints of a segment. 
Which of the following statements are true? 
A
C
B
n
D
CD > AD
AD = BD
CA = CD
CD = AB
AD =
Observe the diagram and its markings. Find the length of 
each of the following segments. If you can't find its length
then type NA in the box. 
AB = 
CD = 
A
6.5
C
B
n
3.8
D
Angle Bisector
perpendicular
midpoint
perpendicular bisector
Which term best describes ray LJ?
Fact: Any point on an angle bisector is the SAME DISTANCE to the sides of the angle. 
Given the following diagram, what must LK measure?
LK =
6.8
3.6
62o
62o
A
X
Y
Given the following diagram what can
you conclude?
Z
 AZ ≅ YZ
 ∆YXZ ≅ ∆AXZ
 all of the above
 Triangles ≅ by SSS or HL
Given the following diagram and the
fact that ∡HJK = 126o find the m∡LJK
m∡LJK =
o
3.6
3.6
Given the following diagram and the
fact that ∡LJK = (4x - 14)and m∡LJK = (3x + 6)ofind the value of xand the m∡HJK
m∡HJK =
o
3.6
3.6
Given the image. 
What can you conclude about 
the ∆ABC and ∆DBC?
c. They are both right triangles
b. They are congruent
d. Both b. and c. are correct
a. They are not congruent
A
C
B
n
D
6.1
A
X
Y
Given that XZ is the perpendicular bisector of AY. 
Find the length of AZ
4x + 4
3x + 7
Z
AZ = 
Does point D lie on the 
perpendicular bisector 
of segment AB?
Yes, because AD = BD = 4
No, because AD ≠ BD
Not enough information to tell. 
Yes, because AD = BD = 5
Does point D lie on 
the perpendicular 
bisector of segment
AB?
Yes, because DA = DB = 5
Yes, because DA = DB = 4
No, because DA ≠ DB
Not enough information to tell
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