Perpendicular Bisectors (2A)
Circumcenters (2B)
Angle Bisectors (2C)
Incenters (2D)
100

If a point is on the perpendicular bisector of a segment, then it is ________________ to the endpoints of that segment. 


equidistant 

100

The circumcenter is the point of concurrency of the ______________________________. 

The circumcenter is equidistant from the _____________ of a triangle. 

perpendicular bisectors ; angles 

100

If a point is on the angle bisector of an angle, then the point is ________________ to the sides of the angle.

 

equidistant. 

100

The incenter is the point of concurrency of the _______________________ of a triangle.

The incenter is equidistant from the ___________ of a triangle. 

angle bisectors ; sides 

200

Find AC. 

AC = 27

200

 

D is the circumcenter. Find UV, VD, and TD. 

UV = 152

VD = 90

TD = 90

200

Find m∠CAD and m∠BAC.

m∠CAD = 27° 

m∠BAC = 54° 

200

Suppose Q is the incenter. Find m∠NKQ, m∠NLQ, and m∠MJP.

m∠NKQ = 34° 

m∠NLQ = 22° 

m∠MJP = 68° 

300

Find XY. 

XY = 118

300

D is the circumcenter. Find TC and TU.

TC = 72

TU = 144

300

Find x. 

x = 3

300

Suppose Q is the incenter. Find PQ, NQ, and KN. Round answers to the nearest hundredth.

PQ = 6

NQ = 6

KN = 18.03

400

Find KL.

KL = 62

400

D is the circumcenter. If UD = 5(3x+4) and
VD = 10x+35, find TD.

TD = 65

400

Find m∠UXW if m∠UVW = 112° .

m∠UXW = 68° 

400

Suppose S is the incenter. Find m∠PER and m∠QSR.

m∠PER = 56° 

m∠QSR = 128° 

500

If BD = 9x + 4, find BC and BD. 




BC = 20

BD = 40 

500

Suppose G is the circumcenter,  EG = 36, AF = 52, and AG = 60. Find FG and EC. Round your answers to the nearest hundredth. 

FG = 29.93

EC = 48

500

Find m∠ABC if m∠ABC = 7x - 11. 

m∠ABC = 38° 

500

Suppose S is the incenter. SP = 14, GS = 17, mPFQ = 94° , m∠RES = 22° . Find m∠REP, QG, and m∠RGS. Round your answers to the nearest hundredth. 

m∠REP = 44° 

QG = 9.64

m∠RGS = 21° 

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