Worksheets8.1 Perpendicular Bisectors of Triangles
Total questions: 14
Worksheet time: 2hrs 20mins
Name
Class
Date
1.
Identify the center.
a)
Circumcenter
b)
Incenter
c)
Centroid
d)
Orthocenter
2.
Find BC.
a)
BC = 4
b)
BC = 16
c)
BC = 12
d)
BC = 24
3.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
4.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
5.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
6.
Based on the markings, which segment represents a perpendicular bisector?
a)
Segment BA
b)
Segment CF
c)
Segment DE
d)
segment BG
7.
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.
8.
The CIRCUMCENTER is the intersection of which special segments?
a)
Angle Bisectors
b)
Perpendicular Bisectors
c)
Medians
d)
Altitudes
9.
If AF = 10x-3, and FC = 8x+3, what is AC?
a)
3
b)
6
c)
27
d)
54
10.
If BC is 18, what is DC?
a)
6
b)
9
c)
12
d)
18
11.
[Perpendicular Bisectors and Circumcenter]
If GC is 11, what is AG?
a)
11
b)
9
c)
cannot determine
d)
5.5
12.
[Perpendicular Bisectors and Circumcenter]
If CG = 4x+3 and AG = 3x+4, what is BG?
a)
14
b)
3
c)
7
d)
3.5
13.
1. PQ is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
14.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
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