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WorksheetsCenter Angle Bisector
Total questions: 14
Worksheet time: 14mins
The INCENTER is the intersection of which special segments?
Angle Bisectors
Perpendicular Bisectors
Medians
Altitudes
The place where all three angle bisectors meet is called the ...
Circumcenter
Orthocenter
Incenter
Centroid
The figure is an example of a(n) ...
angle bisector
perpendicular bisector
median
midsegment
What type of center is point M?
Circumcenter
Incenter
Centroid
Orthocenter
If S is the incenter, what type of segments are drawn?
medians
angle bisectors
perpendicular bisectors
altitudes
Angle JHG measures 161.
m∠GHK=80.5,
m∠KHJ=161
m∠GHK=161,
m∠KHJ=80.5
m∠GHK=80.5,
m∠KHJ=80.5
m∠GHK=161,
m∠KHJ=161
Given: m∠LAN = 30⁰ , m∠1 = 15⁰
Prove: AM bisects ∠LAN
Step 1: m∠LAN = 30⁰
Step 2: m∠1 + m∠2 = m∠LAN
Step 3: m∠1 + m∠2 = 30⁰
Step 4: m∠1 = 15⁰
Step 5: 15⁰ + m∠2 = 30⁰
Step 6: m∠2 = 15⁰
Step 7: m∠1 = m∠2
Step 8: ∠1 ≅ ∠2
Step 9: AM bisects ∠LAN
What is the justification for Step 9?
Symmetric property of congruence
Definition of angle bisector
Addition property of equality
Definition of congruent angles
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
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
The point of concurrency made by 3 angle bisectors is known as the
orthocenter
centroid
circumcenter
incenter
A segment that bisects one of the angles of a triangle
Angle Bisector
Perpendicular Bisector
Altitude
Midsegment
Which point is equidistant from the sides?
Circumcenter
Incenter
Centroid
Orthocenter
The figure is an example of a(n) ...
angle bisector
perpendicular bisector
median
midsegment
The figure is an example of a(n) ...
angle bisector
perpendicular bisector
median
altitude
