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Geo Chapter 5- Properties of Triangles
Contributed by: DiLaura
Which term best describes line n?
5.1
A
n
angle bisector
perpendicular bisector
right angle
bisector
D
5.1
What is true about the diagram below?
A
C
B
n
D
CD > AD
AD = BD
CA = CD
CD = AB
5.1
Find the length of CD?
A
CD =
7
4.2
C
B
n
4.2
D
5.1
Find the length of AD?
A
6.5
AD =
C
B
n
3.8
D
5.1
Angle Bisector
perpendicular
midpoint
perpendicular bisector
Which term best describes ray LJ?
5.1
Given the following diagram find the
length of LK?
LK =
6.8
3.6
62o
62o
5.1
Given the following diagram find the
measure of ∡HJK?
m∡HJK =
o
6.8
3.6
62o
6.8
62o
5.1
Given that LJ bisects ∡HJK find the value of y,
and the length of LH
y =
LH =
6y - 8
3.6
62
3y + 4
62
5.1
A
X
Y
Find the value of x and the length of YZ
2x + 3
3x - 5
Z
x =
YZ =
5.1
A
X
Y
Given the following diagram what can
you conclude?
Z
∡A ≅ ∡Y
AZ ≅ YZ
∆YXZ ≅ ∆AXZ
all of the above
5.1
Given the following diagram and the
fact that ∡HJK = 138o find the m∡LJK
m∡LJK =
o
3.6
3.6
5.2
The three angle bisectors of a triangle intersect
to form which point of concurrency?
midpoint
Incenter
Circumcenter
Circumference
5.2
The perpendicular bisectors of the
three sides of a triangle intersect
to form which point of concurrency?
midpoint
Incenter
Circumcenter
Circumference
5.2
What is the name of
point C in the
diagram below?
Circumcenter
Incenter
Angle bisector
Perpendicular bisector
5.2
What is the name of
point P in the
diagram below?
Circumcenter
Incenter
Angle bisector
Perpendicular bisector
5.2
C is equidistant to
which of the following
points?
CF = CD = CE
CL = CM = CN
CD = CL = LF
CM = ME = EN
5.2
Given the following
diagram which
statement is correct?
PX = PY = PZ
PX = PC = CZ
PA = PB = PC
BY = BZ = ZC
5.2
Given P is the incenter
of ∆ABC find the
length of PX.
PX =
4.7
1.4
3.2
AB and CB are
angle bisectors.
Find the m∡BAC
5.2
m∡BAC =
A
o
B
33o
C
50o
D
AB and CB are
angle bisectors.
Find the m∡BCD
5.2
m∡BCD =
A
20o
o
B
C
62o
D
AB and CB are
angle bisectors.
Find the distance
from B to CD.
5.2
distance =
A
5.9
3.4
B
4.2
C
D
CN =
LM =
5.2
C is the circumcenter
of ∆LMN find the
following lengths
ME =
3.2
4.8
2.5
CM =
8.8
5.3
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
5.3
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
5.3
D is the intersection
point of two medians

If AG = 12 find AD and DG
AD =
DG =
A
E
D
C
G
B
5.3
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
5.3
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
5.3
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
5.4
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:
D is the midpoint of BA and
E is the midpoint of BC

What is the name
of segment DE?
5.4
median
midpoint
midsegment
centroid
Given:
D is the midpoint of BA and
E is the midpoint of BC

Which of the following
statements are true?
5.4
DE = ½ AC
DE // AC
∡BDE ≅ ∡DAC
All of the above
slope =
reduce to lowest terms
Given that UV is the
midsegment of ∆PMN
find the slope of UV.

5.4
Is the slope the same as MN?
Yes
No
Given that DE is a midsegment
of ∆ABC find the
following.
5.4
AD =
DE =
BC =
12.6
5
4.1
Given that DE is a midsegment
of ∆ABC find the
following.
5.4
AD =
DE =
13
10
Given that ∆UVT is the
midsegment  ∆.
Tell which of the
following are true.

TU = ½ PN
MN // UV
MP = 2(TV)
 All of the above
5.4
T
Given that ∆UVT is the
midsegment  ∆.
Tell which of the
following are true.

∆TUV ≅ ∆TUM
∆TUV ≅ ∆PVU
∆TUV ≅ ∆TNV
 All of the above
5.4
T
5.5
A right triangle can have a right angle
A right triangle can have an obtuse angle.
A right triangle can't have an obtuse angle.
A right triangle can have a  straight angle.
Which of the following is the opposite of the
statement:
"A Right triangle can't have an obtuse angle."
5.5
A linear pair of angles can be supplementary.
A linear pair of angles can be complementary.
A linear pair of angles can't be adjacent.
A linear pair of angles can't be supplementary.
Which of the following is the opposite of the
statement:
"A linear pair of angles can be adjacent."
5.5
Three angles add to = 180 not more.
A right triangle has 2 legs and a hypotenuse.
The 3 sides of a right triangle = 180 not more.
An obtuse triangle means greater than 90.
Which of the following is the reason why the
statement below is false?

"A Right triangle can have an obtuse angle"
Given ∆HJM with the following
side lengths.

Which of the following
statements is correct?
5.5
∡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?
5.5
HJ < JM < HM
MH < HJ < JM
HJ < HM < MJ
JM < HM  < HJ
H
62o
J
80o
38o
M
5.7
Which of the following is a Pythagorean Triple?
3, 9, 12
2, 4, 6
5, 12, 13
2.5, 6.9, 7.3
5.7
In ∆ABC c2 = 144, a2 = 64 and b2 = 99
what kind of triangle is ∆ABC?
acute
obtuse
right
equlangular
Find the hypotenuse of the triangle.
Round to the nearest tenth.
5.7
AC =
A
5
B
7
C
Find the missing leg of the triangle.
Round to the nearest tenth.
5.7
BC =
5.5
C
A
14
B
Use the side lengths to determine if the
triangle is obtuse, acute or right.
5.7
acute
obtuse
right
A
10
4
C
B
8
Use the side lengths to determine if the
triangle is obtuse, acute or right.
5.7
acute
obtuse
right
A
10
7
C
8
B
Use the side lengths to determine if the
triangle is obtuse, acute or right.
5.7
acute
obtuse
right
A
17
15
C
8
B
5.8
Find the hypotenuse of the right triangle.
Note: √ = the square root
8
8√2
8√3
16
45o
8
5.8
Find the legs of the right triangle.
Note: √ = the square root
12√2
12
6√3
6
12√2
45o
5.8
6
4
4√3
12
Find the length of AB in the triangle.
Note: √ = the square root
A
C
8
60o
B
5.8
12
24
12√3
6
Find the length of AC in the triangle.
Note: √ = the square root
A
C
12
60o
B
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