Geo 5.1-5.5 Medians, Centroids & Inequalities
Angle Bisector
perpendicular
midpoint
perpendicular bisector
Which term best describes ray LJ?
A
X
Y
Given the following diagram what can
you conclude?
Z
∡A ≅ ∡Y
AZ ≅ YZ
∆YXZ ≅ ∆AXZ
all of the above
The three angle bisectors of a triangle intersect
to form which point of concurrency?
Circumcenter
Circumference
midpoint
Incenter
The perpendicular bisectors of the
three sides of a triangle intersect
to form which point of concurrency?
Circumference
Incenter
Circumcenter
midpoint
What is the name of
point C in the
diagram below?
Circumcenter
Incenter
Angle bisector
Perpendicular bisector
What is the name of
point P in the
diagram below?
Circumcenter
Incenter
Angle bisector
Perpendicular bisector
C is equidistant to
which of the following
points?
CF = CD = CE
CM = ME = EN
CD = CL = LF
CL = CM = CN
Given the following
diagram which
statement is correct?
PX = PY = PZ
BY = BZ = ZC
PA = PB = PC
PX = PC = CZ
A line that goes from the vertex of an
angle to the midpoint of the opposite
side of a triangle is called?
circumcenter
Incenter
median
centroid
D is the intersection
point of two medians
which is the correct
relationship of two
segments?
CD = DE
CD = ⅔CE
CD = ⅓CE
DE = ½CE
A
E
D
C
G
B
D is the intersection
point of two medians

If AG = 12 find AD and DG
AD =
DG =
A
E
D
C
G
B
DB =
DE =
D is the intersection
point of two medians

Find the following
lengths in the triangle
AC =
CE =
A
F
2
7.1
E
D
6
C
G
B
Given that B is the
centroid of ∆JHK

Which of the following
is true?
HB = ⅔ HD
CB = ½ KB
BE = ⅓ JE
All of the above
DB =
DE =
D is the intersection
point of two medians

Find the following
lengths in the triangle
GC =
CE =
A
F
5
E
D
8
C
G
18
B
Find the coordinates of the midpoint of AB.
If A = (-4,3) and B = (6, 1)
midpoint =
Give your answer as a
coordinate with NO spaces
ex. (-3,7)
Given ∆HJM with the following
side lengths.

Which of the following
statements is correct?
∡H < ∡J < ∡M
∡M < ∡H < ∡J
∡M < ∡J < ∡H
∡J < ∡H < ∡M
H
4.3
J
7.2
5
M
Given ∆HJM with the following
angle measures.

Which of the following
statements is correct?
HJ < JM < HM
MH < HJ < JM
HJ < HM < MJ
JM < HM  < HJ
H
62o
J
80o
38o
M

Which of the following are the possible lengths

of a triangle??

3, 9, 12
2, 4, 6
5, 12, 13
2.5, 3.9, 7.3

Which set of numbers are NOT possible

lengths of a triangle?

4, 5, 8

1, 1, 2

6, 2, 7

3, 5, 4

Which set of numbers are the possible

lengths of a triangle?

3, 3, 6

4, 5, 1

8, 11, 2

5, 5, 5

∢1

∢2

∢3

Cannot be determined

Which angle is the greatest?
5
1
2
7
9
3
Which statement is true?
A
B
D
17
14
C

m<ABD = m<ADC

m<BCA < m<ACB

m∢BAC > m∢DAC

AB = AD

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