Worksheets5-1 & 5-2 GEOMETRY - Special Segments in Triangles
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
Identify the type of segment pictured below.
a)
Midsegment
b)
Median
c)
Altitude
d)
Perpendicular Bisector
e)
Angle Bisector
2.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
3.
The figures above are examples of ...
a)
altitudes
b)
perpendicular bisectors
c)
medians
d)
angle bisectors
4.
What does an angle bisector do?
a)
Makes two 90 degree angles
b)
splits a 90 degree angle in half
c)
splits an angle in half
d)
splits 2 sides in half
5.
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.
6.
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.
7.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
8.
What is the value of x?
a)
23
b)
18
c)
29
d)
45
9.
Find SV
a)
18
b)
36
c)
21
d)
9
10.
a)
m∠SQP=29, m∠PQR=58
b)
m∠SQP=29, m∠PQR=29
c)
m∠SQP=58, m∠PQR=58
d)
m∠SQP=58, m∠PQR=29
11.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
12.
Which of the following segments represents an median?
a)
BX
b)
AZ
c)
AC
d)
BZ
13.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
14.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
15.
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
16.
Find NM
a)
12
b)
17
c)
31
d)
20
17.
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
18.
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
19.
BE = 15. Find EG.
a)
10
b)
5
c)
22.5
d)
20
20.
AD = 12. Find AG
a)
6
b)
8
c)
18
d)
12
100 %
