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Review on Special Segments and Centers of a Triangle

Total questions: 43

Worksheet time: 42mins

Name
Class
Date
1.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Altitudes

c)

Perpendicular Bisectors

d)

Angle Bisectos

2.

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

a)

Orthocenter

b)

Incenter

c)

Circumcenter

d)

Centriod

3.

Which point of concurrency is the intersection of the angle bisectors of a triangle?

a)

centroid

b)

incenter

c)

orthocenter

d)

circumcenter

4.

Which of the following statements is correct about the circumcenter of a triangle?

a)

It's the intersection of the bisectors of the triangle's three angles AND

is equidistant from the triangle's three vertices

b)

It's the intersection of the bisectors of the triangle's three angles AND

is equidistant from the triangle's three sides

c)

It's the intersection of the perpendicular bisectors of the triangle's three sides AND

is equidistant from the triangle's three vertices

d)

It's the intersection of the altitudes of the triangle's three sides AND

is equidistant from the triangle's three vertices

5.

Which of the following statements is correct about the incenter of a triangle?

a)

It's the intersection of the bisectors of the triangle's three angles AND

is equidistant from the triangle's three vertices

b)

It's the intersection of the bisectors of the triangle's three angles AND

is equidistant from the triangle's three sides

c)

It's the intersection of the perpendicular bisectors of the triangle's three sides AND

is equidistant from the triangle's three vertices

d)

It's the intersection of the altitudes of the triangle's three sides AND

is equidistant from the triangle's three vertices

6.
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
7.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
8.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

9.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

altitude

d)

median

10.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

11.
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 
12.
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 
13.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
14.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
15.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
16.

Name the point of concurrency shown.

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

17.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
18.
What is an angle bisector?
a)
Makes two 90 degree angles
b)
splits a 90 degree angle in half
c)
splits any angle in half
d)
splits 2 sides in half
19.
If G is the circumcenter, what type of segments are drawn?
a)
perpendicular bisectors
b)
angle bisectors
c)
altitudes
d)
centroids
20.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
21.
Which of the following segments represents a median?
a)
BX
b)
AZ
c)
AC
d)
BZ
22.
Which of the following words describes the point shown in the figure?
a)
Centerpoint
b)
Orthocenter
c)
Centroid
d)
Altitude-point
23.
If S is the incenter, what type of segments are drawn?
a)
medians
b)
angle bisectors
c)
perpendicular bisectors
d)
altitudes
24.
Which point of concurrency is this?
a)
Circumcenter
b)
Orthocenter
c)
Incenter
d)
Centroid
25.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
26.
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
27.
Which of the following describes a median of a triangle?
a)

A middle of the triangle.

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. 

28.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

29.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

30.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

31.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

32.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Center-center
33.

What special segments are drawn in the large triangle?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

34.

What special segment is drawn in the large triangle?

a)

Median

b)

Altitude

c)

Perpendicular Bisector

d)

Angle Bisector

35.
What is point J called?
a)
centroid
b)
incenter
c)
circumcenter
d)
orthocenter
36.

The centroid is the 3 ____ of a triangle intersect.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

37.

In a right triangle, the orthocenter is ____ the triangle

a)

inside

b)

on

c)

outside

38.

In an acute triangle, the orthocenter is ____ the triangle

a)

inside

b)

on

c)

outside

39.

In an obtuse triangle, the orthocenter is ____ the triangle

a)

inside

b)

on

c)

outside

40.

If segment MP is a midsegment , then which side is parallel to it?

a)
WY
b)
YX
c)
WX
d)
PN
41.
How many midsegments does a triangle have?
a)
1
b)

2

c)
3
d)
4
42.
Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.
a)
angle oppostie
b)
side perpendicular
c)
side parallel
d)
incenter point
43.

If points D and E are the midpoints of segment AB and AC respectively , then segment DE is ____________.

a)
an angle bisector
b)
a perpendicular segment
c)
a median
d)
a midsegment 

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