WorksheetsSpecial Segments in Triangles
Total questions: 35
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
Which of the following segments represents a median?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
2.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
3.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
4.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
5.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
6.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
7.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AN is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AN is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
8.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
9.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment PR is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment PR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
10.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
11.
Based on the markings, segment AB represents the...
a)
perpendicular bisector
b)
angle bisector
c)
median
d)
altitude
12.
Based on the markings, segment BG represents the...
a)
angle bisector
b)
median
c)
altitude
d)
perpendicular bisector
13.
Based on the markings, segment DE represents the...
a)
perpendicular bisector
b)
altitude
c)
angle bisector
d)
meidan
14.
Based on the markings, segment CF represents the...
a)
altitude
b)
meidan
c)
perpendicular bisector
d)
angle bisector
15.
Given: m<PXR=2a+10, If segment PX is the altitude find the value of "a".
a)
50
b)
17
c)
40
d)
35
16.
Which of the following describes a perpendicular bisector of a triangle?
a)
A segment that is perpendicular to the side of a triangle at its midpoint.
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.
17.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
18.
What is the only special triangle segment that does not have to go through a vertex?
a)
Median
b)
Altitude
c)
Angle Bisector
d)
Perpendicular Bisector
19.
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.
20.
What is true about a perpendicular bisector?
a)
Cuts the side of a triangle into 2 congruent parts.
b)
It is perpendicular to the side of a triangle.
c)
It passes through the midpoint of the side of the triangle.
d)
All of the above
21.
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
22.
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.
23.
Complete the statement, the circumcenter of a triangle is equidistant from the ___ of the triangle.
a)
vertices
b)
sides
c)
center
d)
medsegment
24.
The centroid is the point of concurrency of the ________________ of a triangle.
a)
Medians
b)
Altitudes
c)
Perpendicular Bisectors
d)
Angle Bisectos
25.
The figures above are examples of...
a)
altitudes
b)
perpendicular bisectors
c)
medians
d)
angle bisectors
26.
Which point of concurrency is the intersection of the perpendicular bisectors of the triangle?
a)
Centroid
b)
Incenter
c)
Orthocenter
d)
Circumcenter
27.
What point of concurrency is the intersection of the altitudes of a triangle?
a)
Orthocenter
b)
Circumcenter
c)
Incenter
d)
Centroid
28.
Which point of concurrency is the intersection of the angle bisectors of a triangle?
a)
Centroid
b)
Incenter
c)
Orthocenter
d)
Circumcenter
29.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
30.
11. what type of lines are shown:
a)
perpendicular bisector
b)
angle bisectors
c)
altitudes
d)
medians
31.
12. what type of lines are shown:
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
medians
32.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
centroid
d)
midsegment
33.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
34.
Which point is equidistant from the vertices of a triangle?
a)
Circumcenter
b)
Incenter
c)
perpendicular bisector
d)
angle bisector
35.
Which point is equidistant from the sides of a triangle?
a)
Circumcenter
b)
Incenter
c)
perpendicular bisector
d)
angle bisector
100 %
