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Altitudes, Medians, & Centers

Total questions: 20

Worksheet time: 18mins

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.
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
4.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
5.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
6.
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
7.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

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.

The centroid of a triangle is ____________ of the distance from each vertex to the midpoint of the opposite side.

a)

two-thirds

b)

one-half

c)

one-fourth

d)

two-fifths

10.

BL = 12

Find PL

a)

3

b)

4

c)

8

d)

10

11.

AL = 27

Find PL

a)

27

b)

18

c)

9

d)

3

12.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
13.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Altitude-point
14.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
15.

Point H is the centroid of the triangle. Determine the length of EH\overline{EH}  .

a)

4

b)

18

c)

9

d)

27

16.

Point W is the centroid of the triangle. Solve for x.

a)

30

b)

7

c)

15

d)

2

17.

This center is the intersection of all ALTITUDES in a triangle.

a)

Centroid

b)

Orthocenter

c)

Incenter

d)

Circumcenter

18.

In an obtuse triangle, the orthocenter is.....

a)

outside the triangle

b)

inside the triangle

c)

on the right angle

19.

In an acute triangle, the circumcenter is...

a)

inside the triangle

b)

outside the triangle

c)

the midpoint of the hypotenuse

20.

The only two points of concurrency that can be outside of a triangle are...

a)

orthocenter and circumcenter

b)

orthocenter and incenter

c)

centroid and incenter

d)

incenter and circumcenter