December 16, 2010
Answers
WY, 4
x = 11
(2,1)
WX, 14
Incenter
Centroid
Midsegments
24
7 < x < 15
Equidistant
x = 12
∠N, ∠L, ∠M
Medians
Orthocenter
Point of Concurrency
x=6
17 < x < 31
Circumcenter
76
⊥ Bisector Thm
54
x=8
∠ Bisector Thm
(2,4)
9
December 16, 2010
Use ∆WXY, where R, S, and T are midpoints of the sides.
T
W
Y
RS || _____
If TY = 4, then RS = _____
R
S
ST || _____
If RT = 7, then XY = _____
What are TR, RS, and ST called?
X
December 16, 2010
The
same
distance
from
two
points.
December 16, 2010
6x + 18
C
B
F
E
8y + 20
8x + 6
2x + 4y
A
12y - 8
D
Find AD.
State the theorem that allows you to set AD ≅ BC?
Find BC.
Is B on the perpendicular bisector of AC?
DE is the perpendicular bisector of AC. Find the indicated
measures.
December 16, 2010
B
8x - 12
A
2x + 36
C
Find the value of x.
What theorem allows you to say AB ≅ BC and solve for x?
December 16, 2010
A
12
13
F
E
G
x-6
D
B
C
Find the value of x.
What is the point of concurrency of the
angle bisectors (point G)?
December 16, 2010
N, P, and R are the midpoints of ∆MOQ
27. Find the length of SQ.
O
QN = 36
N
S
4x - 12
16
P
M
28. Find the value of x.
R
Q
What are QN, OR, and MP?
December 16, 2010
The
point
of
intersection
of
the
lines,
rays,
or
segments.
December 16, 2010
Describe the possible lengths of the third side of the
triangle given the lengths of the other two sides.
7 and 24
December 16, 2010
Find the midpoint of SQ (call it T).
Q
Find the length of RT.
S
R
Find the coordinates of the centroid.
December 16, 2010
The
point
of
concurrency
of
the
three
medians
of
a
triangle.
December 16, 2010
Describe the possible lengths of the third side of the
triangle given the lengths of the other two sides.
4 and 11
December 16, 2010
In ∆LMN, LM = 11, MN = 18, and LN = 24.
Sketch and label the triangle.
List the angles in order from smallest to largest.
December 16, 2010
The
point
at
which
the
lines
containing
the
three
altitudes of
a
triangle
intersect.
December 16, 2010
Find the value of x.
Y
T
22
U
W
X
5x-8
V
Z
What is the point of concurrency of the perpendicular
bisectors of a triangle?
December 16, 2010
Need to know for the test
Definitions
Thoerems (and how to apply them)
Midsegments
Perpendicular Bisector
Equidistant
Concurrent
Point of Concurrency
Circumcenter
Angle Bisector
Incenter
Median
Centroid
Altitude
Orthocenter
Midsegment Thm.
Converse of the Midsegment Thm.
⊥ Bisector Thm.
Converse of ⊥ Bisector Thm
Concurrency of ⊥ Bisector of ∆ Thm
∠ Bisector Thm
Converse ∠ Bisector Thm
Concurrency of ∠ Bisector of ∆ Thm
Concurrency of Medians of ∆ Thm
Concurrency of Altitudes of ∆ Thm
Triangle Inequality Theorem