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Worksheetsju
Total questions: 38
Worksheet time: 1hrs 6mins
Name
Class
Date
1.
Fill in the blanks.
Medians connect the __________ to the opposite ________.
Medians connect the __________ to the opposite ________.
a)
hypotenuse; leg
b)
leg; hypotenuse
c)
vertex; leg
d)
leg; vertex
2.
Fill in the blank.
Altitudes hit the ground at _______ degrees.
Altitudes hit the ground at _______ degrees.
a)
180
b)
90
c)
60
d)
360
3.
Fill in the blank.
All three medians intersect at the point of concurrency called the ____________.
All three medians intersect at the point of concurrency called the ____________.
a)
Incenter
b)
Circumcenter
c)
Orthocenter
d)
Centroid
4.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
Find the length of YZ.
Find the length of YZ.
a)
30
b)
15
c)
5
d)
7.5
5.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______
If XP = 8, then PC = _______
a)
2.7
b)
12
c)
5
d)
4
6.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If PB = 3, then YB = _______
If PB = 3, then YB = _______
a)
6
b)
9
c)
1.5
d)
3
7.
Find NM
a)
12
b)
17
c)
31
d)
20
8.
Find ZQ
a)
9
b)
4
c)
15
d)
18
9.
find BG
a)
7.6
b)
10.4
c)
2.6
d)
3.8
10.
Find RK
a)
10.2
b)
12.8
c)
15.4
d)
19
11.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
12.
a)
11
b)
22
c)
5.5
d)
3.67
13.
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
14.
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
15.
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
16.
a)
22
b)
11
c)
3
d)
66
17.
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
18.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
19.
Fill in the blanks.
Medians connect the __________ to the opposite ________.
Medians connect the __________ to the opposite ________.
a)
hypotenuse; leg
b)
leg; hypotenuse
c)
vertex; leg
d)
leg; vertex
20.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
21.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
22.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
23.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
24.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
25.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
26.
Which of the following describes a median of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
27.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
28.
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.
29.
The centroid is the point of intersection of the ________________ of a triangle.
a)
Medians
b)
Altitudes
c)
Angle Bisectors
30.
If G is the centroid of triangle ABC and AC= 32. Find the length of CE.
a)
16
b)
32
c)
48
31.
If G is the centroid of triangle ABC and BF= 10. Find the length of FA.
a)
20
b)
10
c)
5
32.
Segment BH is an example of which of the following?
a)
Perpendicular Bisector
b)
Altitude
c)
Median
d)
Midsegment
33.
This triangle has...
a)
Midsegments
b)
Altitudes
c)
Medians
d)
Perpendicular Bisectors
34.
What BEST describes triangle ABC?
a)
It has perpendicular segments.
b)
It has perpendicular bisectors.
35.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
36.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
37.
A segment joining a vertex to the midpoint of the opposite side.
a)
altitude
b)
median
c)
perpendicular bisector
d)
angle bisector
38.
A segment joining a vertex to the opposite side so that is perpendiuclar to that side.
a)
perpendicular bisector
b)
angle bisector
c)
median
d)
altitude
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