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Transcript
CPCTC Lesson.notebook
December 09, 2013
Objective: CPCTC
DIRT
Solve each equation.
26 = 8 + v
4x + 7 = 21 ­ 3x
1
CPCTC Lesson.notebook
December 09, 2013
Another DIRT
Explain the differences between acute, obtuse, right and straight angles. Draw and label one of each.
Acute is less than 90.
Obtuse is more than 90 and less than 180.
Right is exactly 90.
Straight is exactly 180.
Watch
Watch video
video
2
CPCTC Lesson.notebook
December 09, 2013
Touch arrow to reveal answers.
One More DIRT
If the m∠ 1 = 2x + 98° and the m∠ 4 = x + 103°, then the m∠7 is:____________
reveal answer
2
1
4
3
6
5
8
7
72
3
CPCTC Lesson.notebook
SSS - If the sides of one triangle are
congruent to the sides of a second triangle,
then the triangles are congruent
December 09, 2013
ASA - If two angles and the included
side of one triangle are congruent to
two angles and the included side of
another triangle, then the two triangles
are congruent
SAS - If two sides of and the included angle of
one triangle are congurent to two sides and the
included angle of another triangle, then the
triangles are congruent.
AAS - If two angles and a non-included
side of one triangle are congruent to two
angles and the included side of another
triangle, then the triangles are congruent.
HL - If the hypotenuse and one leg of
a right triangle are congruent to the
hypotenuse and one leg of another
right triangle, then the two triangles
are congruent.
4
CPCTC Lesson.notebook
December 09, 2013
-CPCTCCorresponding Parts of
Congruent Triangles are
Congruent - once two triangles
have been proven congruent,
all parts of one triangle are
congruent to the same parts
on the other triangle.
5
CPCTC Lesson.notebook
December 09, 2013
M
Is MAT = MHT? _____________
If yes, how do you know? ___________
8 mm
8 mm
If yes, how do you know <A = <H? A
Are the two triangles at the right congruent? _________
H
T
Y
J
R
If so, how do you know? _________
If so, how do you know <J = <O? ____________
O
C
A
6
CPCTC Lesson.notebook
December 09, 2013
P
Is PJR = __________.
How do you know? ___________ SM = PJ by __________
R
J
S
M
PJ SM & R is the midpoint of SJ
7
CPCTC Lesson.notebook
December 09, 2013
__
__
Given: BC ≅ DC
<A ≅ <E
__ __
Prove: AB ≅ ED
Statement
1)
2)
3)
4)
5)
Reason
1)
2)
3)
4)
5)
8