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Congruent Triangles Geometry Regular Program SY 2014-2015 Source: Discovering Geometry (2008) by Michael Serra
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Congruent Triangles
Geometry Regular ProgramSY 2014-2015
Source:
Discovering Geometry (2008) by Michael Serra
Let’s Recall our Congruent Polygons
Let’s Recall our Congruent Polygons
Two congruent polygons have the same size and same shape!
The ’s & sides of MATH are congruent with the ’s & sides of QUIZ.
A
M H
T
MA = QU M Q
AT = UI A U
TH = IZ T I
HM = ZQ H Z
U
QZ
I
Congruent Triangles: DEFINITION
The same applies for Congruent Triangles!
Two triangles are congruent if… there is a one-to-one correspondence between
the vertices of the triangles such that corresponding sides are congruent and corresponding angles are congruent.
Congruent Triangles: DEFINITION
Which triangles are congruent ?
Congruent Triangles: DEFINITION
Which triangles are congruent ?
Congruent Triangles: DEFINITION
Which triangles are congruent ?
NAME OF TRIANGLE
PARTS GIVEN CONGRUENT? CONJECTURE
VAL
TIN
NAT
PAM
LEN
SOL
Angle – Side – Angle
Side – Angle – Angle
sometimes
sometimes
SSS Congruence Conjecture
SAS Congruence Conjecture
ASA Congruence Conjecture
SAA Congruence Conjecture
Side – Angle – Side
Side – Side – Angle
Angle – Angle – Angle
Side – Side – Side
Included angle: anglebetween 2 sides of a
Triangle Congruence Conjectures
Cong. Conj.
Triangle Congruence Conjectures
Cong. Conj.
Triangle Congruence Conjectures
Cong. Conj.
Triangle Congruence Conjectures
Cong. Conj.
TAKE NOTE!
TRIANGLES ARE NOT NECESSARILY CONGRUENT
if the correspondence is…
Book Exercises
p. 224
Answer the following:
Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 224
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Book Exercises
p. 229
Answer the following:
Which conjectures justifies that…
Book Exercises
p. 229
Answer the following:
Which conjectures justifies that…
Book Exercises
p. 229
Answer the following:
Which conjectures justifies that…
Book Exercises
p. 229
Answer the following:
Which conjectures justifies that…
Book Exercises
p. 224
Answer the following:
Book Exercises
p. 224
Answer the following:
