WorksheetsCircumcenter, Incenter, centroid, orthocenter
Total questions: 30
Worksheet time: 1hrs 11mins
Name
Class
Date
1.
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
2.
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
3.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
4.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
5.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
6.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
7.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
8.
Use the Perp Bisector Theorem to find PQ
a)
10
b)
3
c)
-2
d)
5
9.
One of the examples from the video is shown. What is the length of BG?
a)
8
b)
16
c)
17
d)
34
10.
P is the incenter of triangle JKL. Find OP.
a)
8
b)
13
c)
17
d)
4
11.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
12.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
13.
1. PQ is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
14.
The centroid is the point of concurrency of the 3 ____ of a triangle.
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
15.
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
16.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
17.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
18.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
19.
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
20.
Point W is the centroid of the triangle. Solve for x.
a)
30
b)
7
c)
15
d)
2
21.
The three altitudes of a triangle intersect at the___________________.
a)
orthocenter
b)
median
c)
centroid
d)
circumcenter
22.
If D is the orthocenter, what type of segments are drawn?
a)
medians
b)
altitudes
c)
angle bisectors
d)
perpendicular bisectors
23.
Name the segment/line/ray shown in the picture.
a)
Perpendicular Bisector
b)
Angle Bisector
c)
Median
d)
Altitude
24.
16. For an obtuse triangle, the altitudes meet where?
a)
inside the triangle
b)
outside the triangle
c)
on the triangle
d)
the incenter
25.
10. What type of lines are shown
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
26.
Identify the Point of Concurrency
a)
Circumcenter
b)
Incenter
c)
Orthocenter
d)
Centroid
27.
In ΔXYZ, YB, XC, and ZA are medians, and YC = 15.
If XP = 8, then PC = _______
If XP = 8, then PC = _______
a)
2.7
b)
12
c)
5
d)
4
28.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
29.
Which points of concurrency of a triangle are always inside the triangle?
a)
Centroid and Circumcenter
b)
Orthocenter and Incenter
c)
Incenter and Centroid
d)
Circumcenter and Incenter
30.
What type of point of concurrency is pictured?
a)
Circumcenter
b)
Centroid
c)
Incenter
d)
Orthocenter
100 %
