WorksheetsGeometry Unit 3A Test Review - Special Segments in Triangles
Total questions: 37
Worksheet time: 52mins
Name
Class
Date
1.
What is an angle bisector?
a)
Makes two 90 degree angles
b)
Splits a 90 degree angle in half
c)
Splits any angle into 2 congruent parts
d)
Splits a side into 2 congruent parts
2.
When you draw the perpendicular bisectors of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Circumcenter
d)
Orthocenter
3.
If G is the circumcenter, what type of segments are drawn?
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
centroids
4.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
5.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
6.
What special segments are drawn in the large triangle?
a)
Median
b)
Altitude
c)
Perpendicular Bisector
d)
Angle Bisector
7.
What special segment is drawn in the large triangle?
a)
Median
b)
Altitude
c)
Perpendicular Bisector
d)
Angle Bisector
8.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
9.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Center-center
10.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
11.
The incenter of a triangle is equidistant from the _________ of the triangle.
a)
midsegment
b)
center
c)
vertices
d)
sides
12.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
13.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
14.
Find the length of segment AG.
a)
x=6
b)
x=3
c)
x=9
d)
x=18
15.
1. Point Z is the circumcenter of ΔRST. What is TZ?
a)
3
b)
5
c)
4
d)
6
16.
Find the measure of ST
a)
12
b)
11
c)
24
d)
no enough information
17.
Find the measure of QR
a)
11
b)
22
c)
24
d)
55
18.
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
19.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
20.
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
21.
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
22.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
sangle bisector
23.
Which of the following segments represents a median?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
24.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
25.
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
26.
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
27.
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
28.
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
29.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
30.
What is the length of DC
a)
4
b)
1
c)
2
d)
3
31.
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.
32.
A ray that divides an angle into two congruent angles.
a)
Segment Bisector
b)
Midpoint
c)
Angle Bisector
d)
Sunshine
33.
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.
34.
Which of the following describes a median 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.
35.
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
36.
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.
37.
If AG = 2x + 21 and RE = x + 10.5,
what is NG?
what is NG?
a)
16
b)
8
c)
26.5
d)
10.5
100 %
