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IntGeom3.4Day1.notebook
1
October 11, 2012
This week:
Mon.: Holiday (no class)Tues.: 3.2,3.3 extensionWed./Thurs.: 3.4 Triangles and 3.1 - 3.3 (review)Fri.: Quiz (Pep Rally)
IntGeom3.4Day1.notebook
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pg. 88: 27,28,29
27.
28.
29.
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October 11, 2012
H.W. Review (pg. 87: 1-16)
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October 11, 2012
3.4 Angles of a Triangle
Classification of triangles by sides:
Triangle: a polygon with 3 sides
Classification of triangles by angles:
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October 11, 2012
Triangle Sum Theorem
Exterior Angle Theorem
The sum of the measures of the angles of a triangle is 180 degrees.
remote interior angles
exterior angle
The exterior angle is equal to the sum of the 2 remote interior angles.
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Using the Triangle Sum Theorem.....
Set up an equation and solve for "X"
Using the Exterior Angle Theorem.....
x
3x 120
Set up an equation and solve for "X" and find the measures of the interior angles
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60
60 60
A
m<A + m<B = 90
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent
B
C
In a triangle, there can be at most one right angle or obtuse angle
Each angle of an equiangular triangle has measure 60
Corollaries to the Triangle Sum Theorem
The acute angles of a right triangle are complementary.
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Homework for tonight is:pg. 97, 98: 118
and finish both sides of review worksheet
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October 11, 2012
3.4 Review of homework problems...
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125
(2x + y)
(x + 2y)
(2x + y)
(5x y)(5x + y)
100
3.4 Additional problems...
29. 30.
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2
3 4
BC D E
F
G
H
A
6
51
and more.....
31.