Download 4 Geometry Triangle Proofs (14).notebook

4 Geometry Triangle Proofs (14).notebook
October 24, 2014
CONGRUENT TRIANGLES
TWO TRIANGLES ARE CONGRUENT IF:
1. CORRESPONDING SIDES ARE CONGRUENT
2. CORRESPONDING ANGLES ARE CONGRUENT
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
NOTATION:
ABC≅
DEF
VERTICES AND SIDES MUST MATCH UP WHEN NAMING CONGRUENT TRIANGLES.
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
THESE STATEMENT ARE TRUE FOR SHOWING ANY TWO POLYGONS OR SHAPES CONGRUENT.
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
WOULDN'T IT BE NICE IF WE DIDN'T HAVE TO SHOW ALL 6 THINGS CONGRUENT ON TRIANGLES?
happy
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
WE CAN PROVE TWO TRIANGLES CONGRUENT IF WE CAN MATCH TO THE FOLLOWING POSTULATES AND THEOREMS.
THE BIG 5
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
SIDE­SIDE­SIDE CONGRUENCE POSTULATE
SSS
SIDE ­ ANGLE ­ SIDE CONGRUENCE POSTULATE
SAS
ANGLE ­ SIDE ­ ANGLE CONGRUENCE POSTULATE
ASA
ANGLE ­ ANGLE ­ SIDE CONGRUENCE THEOREM
AAS
HYPOTENUSE ­ LEG CONGRUENCE THEOREM
HL
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
THERE IS NO SUCH THING AS A:
AAA POSTULATE OR THEOREM
AND THERE DEFINITELY IS NOT A SSA POSTULATE OR THEOREM
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
THE ORDER IS IMPORTANT.
RULE FOR DETERMINING THE BIG 5
NEVER SKIP MORE THAN 1 THING IN THE PICTURE.
OK TO SKIP 1 THING
good
BAD TO SKIP 2 THINGS
bad
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
OUR TWO BEST FRIENDS IN THESE TYPES OF PROOFS ARE:
1. REFLEXIVE PROPERTY OF CONGRUENCE
2. VERTICAL ANGLES ARE CONGRUENT
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
E
B
A
C
D
F
SSS
WE WRITE TRIANGLE ABC ≅ TRIANGLE DEF
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
b
a
c
d
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4 Geometry Triangle Proofs (14).notebook
a
October 24, 2014
c
b
e
d
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
b
a
d
c
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
b
c
a
d
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4 Geometry Triangle Proofs (14).notebook
October 24, 2014
p216 2­28 all (SSS, SAS)
p223 1­13, 18­22 all ( AAS, ASA)
p239 11­16, 33, (HL)
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