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Centers of Triangles

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Find the length of PO.

a)

32

b)

35

c)

26

d)

29

2.

Which of the following segments represents a median?

a)

BX

b)

AZ

c)

AC

d)

BZ

3.

If G is the centroid of triangle ABC and BF= 10. Find the length of FA.

a)

20

b)

10

c)

5

d)

Not Enough Information

4.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

5.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

6.

If D is the orthocenter, what type of segments are drawn?

a)

meidans

b)

altitudes

c)

angle bisectors

d)

perpendicular bisectors

7.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

8.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

9.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

10.

The incenter is ________________ found inside a triangle.

a)

Sometimes

b)

Always

c)

Never

11.

Point O is the circumcenter of the triangle. Find AC.  (hint: EC is part of a right triangle)

a)

AC = 4.45

b)

AC = 10

c)

AC = 8.9

d)

Not enough information

12.

Define: CIRCUMCENTER OF A TRAINGLE

a)

the intersection point of the three perpendicular bisectors of a triangle 

b)

when a circle passes through the three vertices of a triangle 

c)

the point of intersection of three or more lines 

d)

the intersection point of the three angle bisectors of a triangle 

13.

Define: INCENTER OF A TRIANGLE

a)

the intersection point of the three angle bisectors of a triangle 

b)

when three or more lines intersect at a single point 

c)

the intersection point of the three perpendicular bisectors of a triangle 

d)

the point of intersection of three or more lines 

14.

Which point is equidistant from the vertices?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

15.

Which point is equidistant from the sides?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral