WorksheetsTriangle Centers IP
Total questions: 49
Worksheet time: 1hrs 16mins
Name
Class
Date
1.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
2.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
3.
D is the circumcenter, find DG
a)
15
b)
16
c)
17
d)
19
4.
The circumcenter is the point at which all the ______ of a triangle meet.
a)
perpendicular bisectors
b)
angle bisectors
c)
medians
d)
altitudes
5.
Z is the circumcenter of triangle TUV. Find TU.
a)
34
b)
42
c)
30
d)
38
6.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
7.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
8.
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
9.
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
10.
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
11.
If G is the circumcenter, what type of segments are drawn?
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
centroids
12.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
13.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
14.
What special segments are drawn in the large triangle?
a)
Median
b)
Altitude
c)
Perpendicular Bisector
d)
Angle Bisector
15.
What special segment is drawn in the large triangle?
a)
Median
b)
Altitude
c)
Perpendicular Bisector
d)
Angle Bisector
16.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
17.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Center-center
18.
Name the point of concurrency
a)
incenter
b)
circumcenter
c)
centroid
d)
orthocenter
19.
Name the point of concurrency
a)
centroid
b)
orthocenter
c)
incenter
d)
circumcenter
20.
What is point J called?
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
21.
Where can the centroid be located on a right triangle?
a)
Outside
b)
Always inside
c)
On the hypotenuse
22.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
vertices
b)
sides
c)
center
d)
midsegment
23.
The circumcenter is always inside the triangle.
a)
true
b)
false
24.
Where is the circumcenter on a obtuse triangle?
a)
Outside
b)
Inside
c)
mid point of hypotenuse
d)
at the vertex with the right angle
25.
The incenter is __________ found inside a triangle.
a)
Sometimes
b)
Always
c)
Never
26.
The incenter of a triangle is equidistant from the _________ of the triangle.
a)
midsegment
b)
center
c)
vertices
d)
sides
27.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
28.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
29.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
30.
The centroid is the point of concurrency of the 3 ____ of a triangle.
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
31.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
32.
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
33.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
34.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
35.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
36.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
37.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Perpendicular Bisectors
d)
Altitude
38.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
39.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
40.
If m∠CAP = 34° , find ∠CAB.
a)
A. 17°
b)
B. 34°
c)
C. 68°
d)
D. 90°
41.
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
42.
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
43.
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
44.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
45.
ED is the midsegment of triangle ABC. Find BC
a)
10.2
b)
12.5
c)
20.4
d)
22.7
46.
What is true about the midsegment EF?
a)
EF = 1/2 AB
b)
EF // AB
c)
EF = 1/2 AC
d)
none of these are true
47.
The mid segment of the triangle is 5x-1. Find the value of x.
a)
x = 6
b)
x = 7
c)
x = 11.8
d)
x = 12.4
48.
Find the measure of the indicated angle.
a)
34
b)
46
c)
62
d)
36
49.
Find the measure of the indicated angle.
a)
145 degrees
b)
24 degrees
c)
20 degrees
d)
21 degrees
100 %
