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Median and Centroid in Geometry

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

The centroid is the point of concurrency of the 3 ____ of a triangle. 

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

2.

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

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

3.

When you draw the medians of a triangle it creates the point of concurrency called the _____________.

a)

Centroid

b)

Incenter

c)

Perpendicular Bisectors

d)

Altitude

4.

G is the centroid of ΔABC, CG = 4x - 6, and FG = x +1, find the measure of CF.

a)

12

b)

10

c)

15

d)

Not Enough Information

5.

Point M is the intersection of ... ?

a)

altitudes

b)

medians

c)

perpendicular bisectors

d)

angle bisectors

6.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

Orthocenter

c)

Centroid

d)

Midpoint

7.

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

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

8.

If AP = 12, what is AL?

a)

6

b)

12

c)

18

d)

24

9.

In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______

a)

6

b)

9

c)

1.5

d)

3

10.

If P is a centroid and AP = 12, what is the length of AL?

(a)  

11.

The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.

a)

one third

b)

two thirds

c)

three fourths

d)

one half

12.

what type of segment has to drawn for centroid?

a)

Angle bisector

b)

Median

c)

line

d)

perpendicular bisector

13.

Which of the following words describes the point shown in the figure?

a)

Centerpoint

b)

Orthocenter

c)

Centroid

d)

Midpoint

14.

What point of concurrency is the intersection of the medians of a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

15.

which center point of a triangle always lies inside

a)

circumcenter

b)

orthocenter

c)

centroid

d)

none of the above

16.

The medians of a triangle are concurrent. Their common point is the__________.

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

17.

Find the coordinates of the centroid of the triangle with vertices A(0, -2), B(0, 4), and C(3, 1).

a)

(1,1)

b)

(2,1)

c)

(0,6)

d)

(1.5,1)

18.

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

a)

angle bisector

b)

midsegment

c)

altitude

d)

median

19.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

20.

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