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Find Circumcenter of the Triangle with Given Vertices

Total questions: 25

Worksheet time: 54mins

Name
Class
Date
1.

Define: CIRCUMCENTER OF A TRIANGLE

a)

the point of intersection 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

2.
Which of the images represents the Circumcenter of a Triangle
a)
First
b)
Second
c)
Third
3.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
neither
d)
Pokecenter
4.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
5.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
6.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
7.

Point Z is the circumcenter of ΔRST. What is TZ?

a)

3

b)

5

c)

4

d)

6

8.

Point P is the circumcenter. Which segment is congruent to PB?

a)

DA

b)

AC

c)

PC

d)

PF

9.

Use the Perp Bisector Theorem to find the length of AD

a)

2

b)

4

c)

6

d)

8

10.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
11.
D is the circumcenter, find EH
a)
15
b)
16
c)
17
d)
19
12.
D is the circumcenter, find DG
a)
15
b)
16
c)
17
d)
19
13.
D is the circumcenter, find FJ
a)
15
b)
16
c)
17
d)
19
14.
a)
perpendicular lines
b)
perpendicular bisector
c)
parallel lines
d)
circumcenter
15.
a)
point
b)
center
c)
circle
d)
circumcenter
16.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
17.

The circumcenter is _________________ located within the triangle.

a)

always

b)

sometimes

c)

never

d)

definitely

18.

The circumcenter of a right triangle falls on the____________.

a)

vertex

b)

hypotenuse

c)

circumscribed circle

d)

leg

19.

Name the point of concurrency of the perpendicular bisectors of a triangle.

a)

Centroid

b)

Incenter

c)

Circumcenter

d)

Orthocenter

20.
Where is the circumcenter located in an obtuse triangle?
a)
inside triangle
b)
outside triangle
c)
on the right angle
d)
on the hypotenuse
21.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
22.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
23.

These types of lines do NOT have to go through the vertex?

a)

altitudes

b)

median

c)

angle bisectors

d)

perpendicular bisectors

24.
Find HG
a)
28
b)
14
c)
41
d)
7
25.
Find PQ
a)
10
b)
3
c)
-2
d)
5