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Perpendicular and Angle Bisectors of a Triangle

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

2.

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

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

3.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

4.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

5.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

6.

What is the special property for circumcenters?

a)

The circumcenter is equally distant to the midpoint of the sides of the triangle.

b)

The circumcenter is equally distant to the vertices.

7.

What is the special property for incenters?

a)

The distance from the incenter to the sides will all be the same.

b)

The incenter is always outside the triangle.

8.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

9.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

10.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

11.

What type of center is point M?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

12.

H is the circumcenter. Find HF. If your answer is a decimal, round to the nearest tenth.

a)

8.1

b)

3.9

c)

6.7

d)

2.2

13.

H is the circumcenter. Find HD. If your answer is a decimal, round to the nearest tenth.

a)

26

b)

32

c)

58

d)

33

14.

H is the circumcenter. Find CD. If your answer is a decimal, round to the nearest tenth.

a)

32

b)

33

c)

64

d)

29

15.

G is the incenter. Find m∠BCA. If your answer is a decimal, round to the nearest tenth.

a)

22

b)

11

c)

20

d)

40

16.

G is the incenter. Find m∠ABG. If your answer is a decimal, round to the nearest tenth.

a)

40

b)

20

c)

11

d)

22

17.

P is the incenter of triangle JKL. Find ML.

Hint: you will have to use pythagorean theorem

a)

8.95

b)

9.35

c)

10.25

d)

12.65

18.

P is the incenter. Which segment lengths are equal?

a)

KP

b)

MP

c)

PN

d)

PJ

e)

PL

19.

Y is the incenter of triangle STU. What is the length of YV?

a)

19

b)

12

c)

14

d)

10

20.

Z is the circumcenter of triangle TUV. Find TU.

a)

30

b)

38

c)

34

d)

19