Angle Bisectors and Incenter A

Define: INCENTER OF A TRIANGLE

• the intersection point of the three angle bisectors of a triangle 
• when three or more lines intersect at a single point 
• the intersection point of the three perpendicular bisectors of a triangle 
• the point of intersection of three or more lines 

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CCSS.HSG.C.A.3

Which of the images represents the Incenter of a Triangle

• First
• Second
• Third

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CCSS.HSG.C.A.3

Which point is equidistant from the sides?

• Circumcenter
• Incenter
• Neither
• Bilateral

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CCSS.HSG.C.A.3

The figure is an example of a(n) ...

• angle bisector
• perpendicular bisector
• median
• midsegment

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CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

6. The point of concurrency of ANGLE BISECTORS is....

• equidistant from the vertices
• outside the triangle
• called the circum center
• equidistant from the sides of the angle

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CCSS.HSG.C.A.3

9. A segment from the vertex of a triangle to the opp. side that splits the angle into 2 equal angles.

• incenter
• angle bisector
• perpendicular bisector
• circumcenter

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CCSS.HSG.C.A.3

13. Which line is an angle bisector?

• XY
• BY
• AZ
• XC

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CCSS.HSG.CO.C.9

If S is the incenter, what type of segments are drawn?

• medians
• angle bisectors
• perpendicular bisectors
• altitudes

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CCSS.HSG.C.A.3

The incenter of a triangle is equidistant from the __________ of a triangle.

• vertices
• sides
• angle bisector
• circumcenter

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CCSS.HSG.C.A.3

[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?

• 20
• 10
• 5
• 15

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CCSS.HSG.C.A.3