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Transcript
1)
A segment that
connects the midpoints
of two sides of the
triangle
Answer: C
2)
A segment from one
vertex of the triangle to
the midpoint of the
opposite side
Answer: LM
3)
A perpendicular
segment from one
vertex of the triangle to
the opposite side or a
line containing the
opposite side.
Answer: x  1
4)
A ray that divides an
angle into two angles
that are congruent.
Answer: No
5)
The point of
concurrency of the three
medians of the triangle.
1
Answer: y  x  2
2
6)
The point of
concurrency of the three
angle bisectors of the
triangle.
Answer: AC
7)
The point of
concurrency of the three
altitudes of the triangle.
Answer: 6  x  20
8)
The point of
concurrency of the three
perpendicular bisectors
of the triangle.
Answer: 100
9)
A segment, ray, line, or
plane that is
perpendicular to a
segment at its
midopoint.
Answer: 2,2
10)
If two sides of one triangle are
congruent to two sides of
another triangle, and the
included angle of the first is
larger than the included angle
of the second, then the third
side of the first is longer than
the third side of the second.
Answer: 18
11)
Which side in the figure
is the longest side?
N
70
105
L
30
65
M
Answer: Centroid
P
12)
For the triangle shown,
VS 5 and VQ 6. Then
PQ  ? . P
T
S
5
R
V
6
Q
Answer: Midsegment
13)
What is the value of “x”
B
2x  1
x 1
A
3x 1
C
Answer: Perpendicular
Bisector
14)
PR is an altitude of
PQR. What kind of
triangle is PQR?
Answer: AB
15)
If two sides of a triangle
are 7 and 13. What are
the possible values of
the third side?
Answer: 8
16)
In the figure PQ is an
altitude of PQR, find
mQSP ?
P
S
x
Q
2x 
40
R
Answer: Angle Bisector
17)
What are the coordinates
of a point equidistant
from the vertices of this
triangle? y
x
Answer: Median
18)
Given the following
triangle, what is an
equation for a line that
is the median?
y
x
Answer: Hinge
Theorem
19)
Given the angles of a
triangle, which side is
the smallest.
mA 12x 9,
mB 623x ,
mC 16x 2.
Answer: Orthocenter
20)
What is the shortest
side in this triangle?
A
57
C
47
76
B
Answer: Altitude
21)
What is the largest
angle in this triangle
A
3x 4
C
3x 1
3x
Answer: Right
B
22)
Does the following sides
lengths form a triangle?
Answer: Incenter
23)
Use the Hinge theorem
to determine the
restrictions on the value
of x for the following
figure.
1
Answer: x 
2
24)
JK is a midsegment. If
DF 18x 6 and
JK 3x 11, what is LF ?
Answer: Circumcenter
25)
Point L is the centroid
of NOM . If ML10x 4
and MR 12x 18, then
what is the value of x.
Answer: 10