Angle Bisectors

The circumcenter of a triangle is equidistant from the _______ of the triangle.

• vertices
• sides
• center
• midsegment

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 

Define: CIRCUMCENTER OF A TRAINGLE

• the intersection point of the three perpendicular bisectors of a triangle 
• when a circle passes through the three vertices of a triangle 
• the point of intersection of three or more lines 
• the intersection point of the three angle bisectors of a triangle 

Define: POINT OF CONCURRENCY

• when three or more lines intersect at a single point 
• the intersection point of the three angle bisectors of a triangle 
• when a circle passes through the three vertices of a triangle 
• the point of intersection of three or more lines 

Find the length of PO.

• 32
• 35
• 26
• 29

Given:  AG = 10, find the length of BG.

• 10
• 20
• 5
• 30

If m∠CAP = 34° , find ∠CAB.

• 17°
• 34°
• 68°
• 90°

Find the length of TU

• 15
• 12
• 26
• 13

HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.

• 50
• 16
• 21
• not enough information

HK and JK are angle bisectors of the triangle. Find the measure of angle KJG

• 49º
• 50º
• 98º
• not enough information