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Relationships in Triangles Review

Total questions: 57

Worksheet time: 2hrs 30mins

Name
Class
Date
1.
How many midsegments does a triangle have?
a)
1
b)

2

c)
3
d)
4
2.
Name the parallel segment.
a)
JH
b)
PN
c)
MP
d)
MN
3.
Find the missing length.
a)
9
b)
18
c)
4.5
d)
16
4.
Find the length of AB
a)
6
b)
11
c)
17
d)
68
5.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
6.
Point P is the circumcenter, which segment is equal to PB
a)
DA
b)
AC
c)
PC
d)
PF
7.
What is the intersection of three perpendicular bisectors called?
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
8.
D is the circumcenter, find ED
a)
15
b)
16
c)
17
d)
19
9.
D is the circumcenter, find DG
a)
15
b)
16
c)
17
d)
19
10.
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 
11.
Which point is equidistant from the vertices?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
12.
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
13.
1.  Point Z is the circumcenter of ΔRST. What is TZ?
a)
3
b)
5
c)
4
d)
6
14.
The circumcenter of a triangle is equidistant from the _______ of the triangle.
a)
A. vertices
b)
B. sides
c)
C. center
d)
D. midsegment
15.
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 
16.
Which point is equidistant from the sides?
a)
Circumcenter
b)
Incenter
c)
Neither
d)
Bilateral
17.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
18.
6. The point of concurrency of ANGLE BISECTORS is....
a)
equidistant from the vertices
b)
outside the triangle
c)
called the circum center
d)
equidistant from the sides of the angle
19.
9. A segment from the vertex of a triangle to the opp. side that splits the angle into 2 equal angles.
a)
incenter
b)
angle bisector
c)
perpendicular bisector
d)
circumcenter
20.
13. Which line is an angle bisector?
a)
XY
b)
BY
c)
AZ
d)
XC
21.
[Angle Bisectors and Incenter]:
If PX is 5, what is PZ?
a)
20
b)
10
c)
5
d)
15
22.
[Angle Bisectors and Incenter]
If m<BAP is 30, what is the measure of m<PAC?
a)
60
b)
90
c)
45
d)
30
23.
[Angle Bisectors and Incenter]
If m<BCA is 72, what is m<PCA?
a)
72
b)
48
c)
60
d)
36
24.
[Angle Bisectors and Incenter]
If BX is 2, what is BZ?
a)
2
b)
3
c)
4
d)
5
25.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
26.
a)
11
b)
22
c)
5.5
d)
3.67
27.
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
28.
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
29.
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
30.
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
31.
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
32.
a)
22
b)
11
c)
3
d)
66
33.
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
34.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
35.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
36.
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
37.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
38.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

39.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
40.

What type of special segments are being used?

a)

Perpendicular Bisectors

b)

Angle Bisectors

c)

Medians

d)

Altitudes

41.

What is the point of concurrency?

a)

Orthocenter

b)

Centroid

c)

Circumcenter

d)

Incenter

42.

The CENTROID is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

43.

The ORTHOCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

44.

The INCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

45.

The CIRCUMCENTER is the intersection of which special segments?

a)

Angle Bisectors

b)

Perpendicular Bisectors

c)

Medians

d)

Altitudes

46.

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

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

altitude

47.

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

a)

angle bisector

b)

altitude

c)

altitude

d)

median

48.

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

a)

altitude

b)

perpendicular bisector

c)

median

d)

angle bisector

49.

The figures above are examples of ...

a)

altitudes

b)

perpendicular bisectors

c)

medians

d)

angle bisectors

50.

The place where all three angle bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

51.

The place where all three perpendicular bisectors meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

52.

The place where all three medians meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

53.

The place where all three altitudes meet is called the ...

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

54.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

55.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

56.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

57.

Which center of a triangle is shown in the picture below?

a)

Circumcenter

b)

Orthocenter

c)

Incenter

d)

Centroid

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