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Worksheets

Angle Bisector

Total questions: 17

Worksheet time: 40mins

Name
Class
Date
1.

Find the measure of  NJZ\angle NJZ  

a)

38

b)

90

c)

52

d)

128

2.

Find the measure of  QA\overline{QA}  

a)

4

b)

-4

c)

16

d)

28

3.

Find the measure of  MFZ\angle MFZ  

a)

10

b)

19

c)

21

d)

32 13\frac{1}{3}  

4.

Point A is the incenter of  ΔPQR\Delta PQR . Find each measure of  YLA\angle YLA  

a)

21

b)

32

c)

37

d)

58

5.

Point A is the incenter of  ΔPQR\Delta PQR . Find each measure of  YGA\angle YGA  

a)

21

b)

32

c)

37

d)

53

6.

SCULPTURE A triangular entrance way has walls with corner angles of 50°, 70°, and 60°. The designer wants to place a tall bronze sculpture on a round pedestal in a central location equidistant from the three walls. How can the designer find where to place the sculpture?

a)

Find the circumcenter, where the three perpendicular bisectors meet.

b)

Find the incenter, where the three angle bisectors meet.

c)

Draw the perpendicular bisector of the longest side.

d)

Draw the angle bisector of the greatest angle.

7.

Find the measure of CP

(a)  

8.

 WYZ\angle WYZ  Find the measure of

(a)  

9.

Find the measure of QA

(a)  

10.

if Q is the incenter of ΔJLN\Delta JLN  , find JQ.

(Hint: Use the Pythagorean Theorem in triangle JPQ.)


(a)  

11.

Find the measure of AF

(a)  

12.

Find the measure of AF

(a)  

13.

f P is the incenter of ΔAEC\Delta AEC  , find the measure of PB.

(Hint: use the Pythagorean Theorem in the right triangle ABP.)

(a)  

14.

If P is the incenter of  ΔAEC\Delta AEC , find the measure of  mDACm\angle DAC   

(a)  

15.

If P is the incenter of  ΔAEC\Delta AEC , Find the measure of  DEP\angle DEP  .



(Hint: By SAS postulate,   ΔDEP ΔDCP\Delta DEP\ \cong\Delta DCP  )

(a)  

16.

Determine whether there is enough information given in each diagram to find the value of x. Explain your reasoning.

4 lines
17.

Determine whether there is enough information given in each diagram to find the value of x. Explain your reasoning.

4 lines