WorksheetsGeometry Bisectors of Triangles
Total questions: 27
Worksheet time: 2hrs 32mins
Name
Class
Date
1.
Point of Concurrency
a)
In a triangle, a line, segment, or ray that passes through the midpoint of a side and is perpendicular to that side
b)
Three or more lines that intersect at a common point.
c)
The point of intersection of concurrent lines
d)
The point of concurrency of the perpendicular bisectors of a triangle.
e)
The point of concurrency of the angle bisectors of a triangle.
2.
3 or more lines that intersect at the same point
a)
Concurrent Lines
b)
Congruent Lines
c)
Perpendicular Lines
d)
Parallel Lines
3.
Circumcenter and Incenter are these of a triangle
a)
centers
b)
vertices
c)
perpendicular bisectors
d)
angle bisectors
4.
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
5.
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
6.
Which of the images represents the Circumcenter of a Triangle
a)
First
b)
Second
c)
Third
7.
Which of the images represents the Incenter of a Triangle
a)
First
b)
Second
c)
Third
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)
Supercenter
d)
Neither
10.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
11.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
12.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
13.
Given: AG = 10, find the length of BG.
a)
10
b)
20
c)
5
d)
30
14.
Find the length of TU
a)
15
b)
12
c)
26
d)
13
15.
1. If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
16.
1. PQ is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
17.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
18.
Use the Perp Bisector Theorem to find HG
a)
28
b)
14
c)
41
d)
7
19.
Use the Perp Bisector Theorem to find PQ
a)
10
b)
3
c)
-2
d)
5
20.
Use the Perp Bisector Theorem to find AD and BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
21.
Find m< JKM
a)
90
b)
76
c)
38
d)
83
22.
Find LK
a)
3
b)
5
c)
-3
d)
6
23.
Point P is the incenter of triangle PCA.
If PX is 5, what is PZ?
a)
20
b)
10
c)
5
d)
15
24.
[Angle Bisectors and Incenter]
If m<BCA is 72, what is m<PCA?
If m<BCA is 72, what is m<PCA?
a)
72
b)
48
c)
60
d)
36
25.
[Angle Bisectors and Incenter]
If AY is 8, what is AZ?
If AY is 8, what is AZ?
a)
4
b)
6
c)
8
d)
10
26.
Find the value of x.
a)
2
b)
3
c)
4
d)
5
27.
Point G is the incenter of triangle ACE. What is GB?
a)
16
b)
18
c)
34
d)
50
100 %
