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Transcript
Geo-party! Ch 3 RV
What’s My
Line?
Slippery
Slopes
What’s Your
Angle?
Parallel
Thinking
Thinking
Conversely
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Question:
Use Figure 1
PH = 5,PT = 10, and
HT = 7, give the angles of
triangle PTH in order from least
to greatest
Answer:
m<PTH < m<P < m<PHT
Question: Use figure 1
If m<P = 40 and m<PTH = 30,
order the sides of triangle PTH
from greatest to least
Answer: PT > HT > PH
Question: Using figure 1
If PH is perpendicular to HT, what is
the longest side of triangle PHT?
Answer: PT
Question:Use figure 1
m<P=50 m<PHT = 90 m<PTH = 40
m<THA = 60 m<A = 90 m<HTA = 30
Find the longest side of the entire shape.
Answer: PT
Question: Use figure 1
If PT = AT and
m<PTH < m<HTA,
what inequality statement can you
state using the Hinge Theorem?
Answer: PH < HA
Question: Can you form a
triangle given the side
lengths of 5, 8, 14? Explain
why or why not.
Answer:
NO – 5 + 8 < 14
Given that two sides of a triangle
are 15 and 4, give all possible
values for the third side.
Answer:
11 < x < 19
Given the midpoints of a triangle
are L (1, 2), M (4, 4), and N (3, 1),
list the vertices of the triangle.
Answer: (6, 3), (2, 5), and (0, -1)
List the sides of  ABC in order from
the smallest to the largest given that
m A = 4x+20, mB = 2x+10, and
m C = 3x-30.
Answer: AB < AC < BC
Given A (-5, 3), B(-1, 2) and C(4, -8).
Is it possible to form a triangle with
the given vertices? If so, name the
largest and smallest angles.
Answer:
Yes, it is possible
largest angle:  B
smallest angle:  C
Question:
Given triangle COW:
if CD is a median of the
triangle, what conclusion can
be made?
Answer: OD = DW
Question: Use figure 2
Name a median of the picture
Answer:
segment AD
Given triangle COW and CD is a
median of the triangle with
OD = 5x - 11, DW = 3x + 9
find OW
Answer: 78
Given triangle COW and CD is a
median of the triangle with
OD = 4x + 5, OW = 20x - 2
find DW
Answer:
9
Given triangle ABC with
coordinates
of A(3,4), B(1,-2) and C(-3,1).
If AD is a median of triangle
ABC find the coordinates of D.
Answer:
(-1, - ½ )
Question:
Given triangle COW:
if CD is an altitude of the
triangle, what conclusion can be
made?
Answer: Either CD is
perpendicular to OW or <CDO
and <CDW are right angles
Question: Use figure 2
Name an altitude of the picture
Answer: segment CE
Given triangle COW and CD is
an altitude of the triangle with
OD = 5x - 11, and
m<CDO = 20x - 10
find OD
Answer: 14
Given triangle COW and CD is
an altitude of the triangle with
m<COD = 10x,
m<OCD = 2x - 6
find m<OCD
Answer: 10
Given triangle ABC with
coordinates
of A(3,4), B(1,-2) and C(-3,1).
What is the slope of BF if BF is
the altitude from point B?
Answer: -2
Refer to figure 3
Fill in the blank with <, >, or =.
m<1 _____ m<6
Answer:
<
Refer to figure 3
Fill in the blank with <, >, or =.
m<6 ______ m<8
Answer: <
Refer to figure 3
Fill in the blank with <, >, or =.
m<8 ______ m<1
Answer: >
Refer to figure 3
Determine if the statement
“m<7 = m<8”
is always true, sometimes true, or
never true.
Answer: sometimes
Use figure 3
Determine if the statement
“m<5 = m<7”
is always true, sometimes true, or
never true.
Answer: never