Geo 5.1- 5.3 Prop of Triangles
Which term best describes line n?
A
n
angle bisector
perpendicular bisector
right angle
bisector
D
What is true about the diagram below?
A
C
B
n
D
CD > AD
AD = BD
CA = CD
CD = AB
Find the length of CD?
A
CD =
7
4.2
C
B
n
4.2
D
Find the length of AD?
A
6.5
AD =
C
B
n
3.8
D
Angle Bisector
perpendicular
midpoint
perpendicular bisector
Which term best describes ray LJ?
Given the following diagram find the
length of LK?
LK =
6.8
3.6
62o
62o
Given the following diagram find the
measure of ∡HJK?
m∡HJK =
o
6.8
3.6
62o
6.8
62o
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
A
X
Y
Find the value of x and the length of YZ
2x + 3
3x - 5
Z
x =
YZ =
A
X
Y
Given the following diagram what can
you conclude?
Z
∡A ≅ ∡Y
AZ ≅ YZ
∆YXZ ≅ ∆AXZ
all of the above
Given the following diagram and the
fact that ∡HJK = 158o find the m∡LJK
m∡LJK =
o
3.6
3.6
The three angle bisectors of a triangle intersect
to form which point of concurrency?
midpoint
Incenter
Circumcenter
Circumference
The perpendicular bisectors of the
three sides of a triangle intersect
to form which point of concurrency?
midpoint
Incenter
Circumcenter
Circumference
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
CL = CM = CN
CD = CL = LF
CM = ME = EN
Given the following
diagram which
statement is correct?
PX = PY = PZ
PX = PC = CZ
PA = PB = PC
BY = BZ = ZC
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
m∡BAC =
A
o
B
33o
C
50o
D
AB and CB are
angle bisectors.
Find the m∡BCD
m∡BCD =
A
20o
o
B
C
62o
D
AB and CB are
angle bisectors.
Find the distance
from B to CD.
distance =
A
5.9
3.4
B
4.2
C
D
CN =
LM =
C is the circumcenter
of ∆LMN find the
following lengths
ME =
3.2
4.8
2.5
CM =
8.8
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?
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?
DE = ½ AC

 all of the above

DE // AC

∡BDE ≅ ∡DAC

slope =
reduce to lowest terms
Given that UV is the
midsegment of ∆PMN
find the slope of UV.

Is the slope the same as MN?

Yes

No
Given that DE is a midsegment
of ∆ABC find the
following.
AD =
DE =
BC =
12.6
5
4.1
Given that DE is a midsegment
of ∆ABC find the
following.
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
T
Given that ∆UVT is the
midsegment  ∆.
Tell which of the
following are true.

∆TUV ≅ ∆TUM
∆TUV ≅ ∆PVU
∆TUV ≅ ∆TNV
 All of the above
T
Find the length of the hypotenuse of the triangle.

√24

2√6

9

√74

A
5
B
7
C
Find the length of the missing leg of the triangle.

√144

12

√12

√194

5
C
A
13
B
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