Free Printable 5.1 Bisectors Of Triangles

1.

Find NP.

a)

9

b)

10

c)

14

d)

15

2.

Find SW.

a)

3

b)

16

c)

8

d)

6

3.

Point D is the circumcenter of △ABC. Select any segment(s) congruent to $\overline{AD}$ .

a)

$\overline{AB}$

b)

$\overline{BD}$

c)

$\overline{CD}$

d)

$\overline{AC}$

e)

$\overline{CB}$

4.

Point D is the circumcenter of △ABC. Select any segment(s) congruent to $\overline{AH}$ .

a)

$\overline{AD}$

b)

$\overline{BD}$

c)

$\overline{BH}$

d)

$\overline{CH}$

5.

Find m∠PNM.

a)

90°

b)

88°

c)

13°

d)

44°

6.

Find PN.

a)

32

b)

8

c)

25

d)

30

7.

Point P is the incenter of △AEC. Find DE.

(Hint: you will need a calculator and DO NOT round until the end)

a)

7.1

b)

13.1

c)

171.8

d)

220.0

8.

Point P is the incenter of △AEC. Find m∠DPE.

a)

61.5°

b)

57°

c)

28.5°

d)

33°

9.

The figure shows a triangle with its three angle bisectors intersecting at point P. Find AP if PQ = 1 and AR = 2.

a)

5

b)

3

c)

$\sqrt{5}$

d)

$\sqrt{3}$

10.

The figure shows a triangle with one of its angle bisectors. Find x if m∠2 = 4x + 5 and m∠1 = 5x – 2.

a)

7

b)

33

c)

3

d)

32

11.

The figure shows a triangle with one of its angle bisectors. m∠1 = 7x + 7 and m∠VTU = 16x + 4. Find m∠1.

a)

35

b)

5

c)

40

d)

42

5.1 Bisectors Of Triangles

Total questions: 11

Worksheet time: 3hrs 45mins

Similar Resources on Wayground