WorksheetsMedian altitude bisector triangles
Total questions: 45
Worksheet time: 42mins
Name
Class
Date
1.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
2.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
3.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
4.
What is the point of concurrency for altitudes?
a)
orthocenter
b)
median
c)
incenter
d)
circumcenter
5.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
6.
Where can the centroid be located?
a)
Outside
b)
Always inside
c)
On the hypotenuse
7.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
verticies
b)
sides
c)
center
d)
medsegment
8.
The circumcenter is always inside the triangle.
a)
true
b)
false
9.
The incenter is __________ found inside a triangle.
a)
Sometimes
b)
Always
c)
Never
10.
The centroid is the point of concurrency of the 3 ____ of a triangle.
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
11.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
12.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
13.
The longest side of a triangle would be located where on a triangle?
a)
Across from the smallest angle
b)
Across from the largest angle
c)
Cannot tell.
d)
Adjacent to the smallest side.
14.
Where would the shortest side of a triangle be located?
a)
Across from the smallest angle in the triangle.
b)
Across from the largest angle in the triangle?
c)
Cannot tell.
15.
Where would the largest angle of a triangle be located?
a)
Across from the longest side.
b)
Across from the shortest side
c)
I need more information to get an answer.
16.
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
17.
Which could be the lengths of three sides of a triangle?
a)
A
b)
B
c)
C
d)
D
18.
Do the following side lengths form a triangle?
3, 10, 7
3, 10, 7
a)
Yes
b)
No
19.
Describe the possible lengths for the third side of the triangle given the two sides 10 and 5.
a)
5 < x 10
b)
0 < x < 10
c)
0 < x < 15
d)
5 < x < 15
20.
If G is the circumcenter, what type of segments are drawn?
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
centroids
21.
3. These types of lines do NOT have to go through the vertex?
a)
altitudes
b)
median
c)
angle bisectors
d)
perpendicular bisectors
22.
6. The point of concurrency of ANGLE BISECTORS is....
a)
equidistant from the vertices
b)
outside the triangle
c)
called the circum center
d)
equidistant from the sides of the angle
23.
7. What type of lines have a point equidistant from the vertices of a triangle?
a)
altitudes
b)
angle bisectors
c)
median
d)
perpendicular bisectors
24.
8. What type of lines create a point 2/3 the distance from the vertex and 1/3 from the side?
a)
median
b)
perpendicular bisector
c)
altitude
d)
angle bisector
25.
14. Which line is a perpendicular bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
26.
15. Which two types of lines only meet inside the triangle?
a)
Perpendicular bisectors and angle bisectors
b)
medians and altitudes
c)
medians and angle bisectors
d)
perpendicular bisectors and altitudes
27.
16. For an obtuse triangle, the altitudes meet where?
a)
inside the triangle
b)
outside the triangle
c)
on the triangle
d)
the incenter
28.
20. Triangle ABC has a median of BE where Y is the centroid. BE = 30, find the length of BY and YE in that order
a)
15 and 45
b)
45 and 15
c)
10 and 20
d)
20 and 10
29.
Which one is the orthocenter?
a)
A
b)
B
c)
C
d)
D
30.
Find x if LI = 3x + 9 and IA=15
a)
x = 6
b)
x = 30
c)
x = 45
d)
x = 7
31.
Find x if GD = x +6 and AG = 4x-2.
a)
x = 6
b)
x = 12
c)
x = 4
d)
x = 7
32.
Which point of concurrency is this?
a)
Circumcenter
b)
Orthocenter
c)
Incenter
d)
Centroid
33.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
34.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
35.
The mid segment of the triangle is 5x-1. Find the value of x.
a)
x = 6
b)
x = 7
c)
x = 11.8
d)
x = 12.4
36.
Find x.
a)
x = 15
b)
x = 13
c)
x = 12
d)
x = 11
37.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
38.
Find x, then the measure of JK
a)
x=10, JK=50
b)
x=10, JK=100
c)
x=15, JK=100
d)
x=15, JK=50
39.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
40.
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
41.
Find x.
a)
x = 2
b)
x = 6
c)
x = 8
d)
x = 4
42.
Which of the following is a true statement based on this diagram? Select all that apply.
a)
P is equidistant from A, B, and C
b)
ABC is an Isosceles triangle
c)
APC is an Isosceles triangle
d)
AB = AC
43.
What is the measure of angle a?
a)
50
b)
80
c)
130
d)
Cannot Determine
44.
Find the value of y
a)
60
b)
40
c)
140
d)
100
45.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Orthocenter
100 %
