WorksheetsSpecial Segments of Triangles
Total questions: 37
Worksheet time: 1hrs 9mins
Name
Class
Date
1.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
2.
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
3.
Solve for x if AE is 2x+5 and GE is 3.
a)
x = 3
b)
x = 2
c)
x = 7
d)
x = 1.6
4.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
5.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Othrocenter
6.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
7.
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
8.
Find m< JKM
a)
90
b)
76
c)
38
d)
83
9.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
10.
1. PQ is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
11.
What is the length of AD?
a)
40
b)
20
c)
8
d)
10
12.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
13.
Which of the following segments represents an median?
a)
BX
b)
AZ
c)
AC
d)
BZ
14.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)
midsegment
15.
Identify the type of segment pictured below.
a)
Midsegment
b)
Median
c)
Altitude
d)
Perpendicular Bisector
e)
Angle Bisector
16.
Define: INCENTER OF A TRIANGLE
a)
the intersection point of the three angle bisectors of a triangle
b)
when three or more lines intersect at a single point
c)
the intersection point of the three perpendicular bisectors of a triangle
d)
the point of intersection of three or more lines
17.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
18.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
19.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
20.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
21.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
22.
Define: CIRCUMCENTER OF A TRAINGLE
a)
the intersection point of the three perpendicular bisectors of a triangle
b)
when a circle passes through the three vertices of a triangle
c)
the point of intersection of three or more lines
d)
the intersection point of the three angle bisectors of a triangle
23.
Name the point of concurrency of the medians.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
24.
Name the point of concurrency of the altitudes.
a)
Centroid
b)
Circumcenter
c)
Incenter
d)
Orthocenter
25.
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
26.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
27.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
28.
Can the following side measures form a triangle?
3, 5, 8
3, 5, 8
a)
Yes
b)
No
29.
Identify the longest side measure.
a)
LM
b)
MQ
c)
LQ
30.
Determine whether the given measures can be the lengths of the sides of a triangle.
9, 21, 20
a)
Yes
b)
No
31.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
32.
BC _____ EF
a)
<
b)
>
c)
=
d)
No conclusion can be made.
33.
Determine the largest angle of ∆ABC
a)
∡A
b)
∡B
c)
∡C
d)
Not enough information
34.
Order the angles from greatest to least.
a)
a, b ,c
b)
a , c, b
c)
c , b , a
d)
b , c , a
35.
Determine the smallest angle of ∆ABC
a)
∡A
b)
∡B
c)
∡C
d)
Not enough information
36.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
37.
Find the measure of the indicated angle.
a)
40
b)
108
c)
72
d)
68
100 %
