5.2­5.4 intersections in triangles, midsegment thm HNs.notebook
Do Now #27
November 18, 2016
If the triangle has three equal sides, then the triangle is equilateral.
1. Write the converse of the statement.
2. Write the inverse of the statement. 3. Write the contrapositive of the statement.
5.2 and 5.3 CHEAT SHEET
special point
circumcenter
how it is formed
the point of concurrency of
the 3 perpendicular bisectors
incenter
the point of concurrency of the
3 angle bisectors
centroid
the point of concurrency of
the 3 medians
orthocenter
the point of concurrency of
the 3 altitudes
what does it tell us?
the distance from the
vertices to the
circumcenter is
equivalent
the distance from
the sides to the
incenter is
equivalent
the distance from
the vertex to the
centroid is twice the
distance of the
distance from the
centroid to the side
no specific
measurements or
ratios are known
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5.2­5.4 intersections in triangles, midsegment thm HNs.notebook
November 18, 2016
Which special point is this???
1.
2.
3.
4.
5.
6.
7.
8.
9.
A
Which special point do we have?
2.
What do we know?
E
G 12 D
o
26
C
F
2x­2
B
Find the value of x.
What is the measure of <DCF?
What is the measure of <ACB?
GB = 27
A
3.
G
C
Which special point do we have?
What do we know?
E
20
D
F
B
Find the length of DF.
What is the length of BD?
What is the length of DG?
A
5.
G
C
Which special point do we have?
13
What do we know?
E
D
F
AE = 15
CD = 2x­3
B
Find the length of EB.
What is the length of find the value of x.
2
5.2­5.4 intersections in triangles, midsegment thm HNs.notebook
November 18, 2016
5.4 MIDSEGMENT OF A TRIANGLE
3
5.2­5.4 intersections in triangles, midsegment thm HNs.notebook
November 18, 2016
CLASSWORK ­ 20 questions
5.2 ­ PAGE 323 3­6
324 22­27
5.3 ­ PAGE 330 29 ­ 32
5.4 ­ PAGE 336 11 ­ 16
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5.2­5.4 intersections in triangles, midsegment thm HNs.notebook
November 18, 2016
323 #3­6
324 #22­27
330 #29­32
336 #11­16
5