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WorksheetsEntrance ticket on Centroids and Medians
Total questions: 20
Worksheet time: 25mins
Name
Class
Date
1.
Point P is the centroid of ∆ABC.
If BL = 42, what is the length of BP?
a)
28
b)
14
c)
21
d)
84
2.
Point P is the centroid of ∆ABC.
If PL = 18, what is the length of BP?
a)
36
b)
9
c)
54
d)
18
3.
Point P is the centroid of ∆ABC.
If BP = 10, what is the length of PL?
a)
5
b)
30
c)
15
d)
45
4.
Point P is the centroid of ∆ABC.
If AL = 12, what is the length of LC?
a)
12
b)
24
c)
4
d)
6
5.
Point P is the centroid of ∆ABC.
If AC = 22, what is the length of AL?
a)
11
b)
44
c)
322
d)
7
6.
Which of the following describes a median of a triangle?
a)
A. A middle of the triangle.
b)
B. A segment with endpoints at the vertex and midpoint of the opposite side.
c)
C. A segment that connects two midpoints of two sides.
d)
D. A segment that connects the vertex and the opposite side at 90 degrees.
7.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
8.
AD = 12. Find AG
a)
6
b)
8
c)
18
d)
12
9.
If G is the centroid of triangle ABC and AC= 32. Find the length of CE.
a)
16
b)
32
c)
48
d)
Not Enough Information
10.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
11.
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
12.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
13.
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
14.
[Median and Centroid]
If LB = 4, what is CL?
If LB = 4, what is CL?
a)
4
b)
8
c)
6
d)
10
15.
[Median and Centroid]
If NP = 5, what is CP?
If NP = 5, what is CP?
a)
5
b)
8
c)
12
d)
10
16.
X is the centroid of the triangle. If ZX = 3, find AZ.
a)
3
b)
6
c)
9
d)
12
17.
X is the centroid of the triangle. If CW = 30, find CX.
a)
20
b)
10
c)
30
d)
15
18.
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
19.
a)
11
b)
22
c)
5.5
d)
3.67
20.
If JL = 22, then FL =
a)
14.7
b)
11
c)
7.3
d)
33
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