Ms Andrejko Vocabulary Included side the side located between two consecutive interior angles of a polygon RealWorld PostulatesTheoremsCorollaries P 43 If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle then the ID: 571835
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Slide1
4-5 Proving Triangles Congruent (ASA , AAS)
Ms. AndrejkoSlide2
Vocabulary
Included side-
the side located between two consecutive interior angles of a polygonSlide3
Real-WorldSlide4
Postulates/Theorems/Corollaries
P 4.3:
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent
T 4.5:
If two angles and the non-included side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the two triangles are congruent Slide5
*** KEY CONCEPT ***
Copy on Index CardSlide6
Examples
STATEMENTS
REASONS
DE //
FG
<EDF
≅
< GFD
<E
≅
<G
DF
≅
FDΔDFG ≅ Δ FDE
Given
Alt. interior <‘s ≅
Given
Reflexive
AASSlide7
STATEMENTS
REASONS
AB
≅
CB
<A
≅
<C
DB bisects <ABC
<ABD
≅
<CBD
Δ
ABD ≅ Δ CBDAD ≅ CD
Given
Def. of BisectorASA
CPCTCSlide8
STATEMENTS
REASONS
<N
≅
< L
JK
≅
MK
<JKN
≅
<MKL
ΔJKN
≅ ΔMKLGivenVertical Angles are ≅
AASSlide9
STATEMENTS
REASONS
<D
≅
<F
GE bisects <DEF
<DEG
≅
<GEF
GE
≅
GE
ΔDEG
≅
ΔFEGDG ≅ FGGiven
Def. of bisector
ReflexiveAAS
CPCTCSlide10
STATEMENTS
REASONS
BC //
EF
AB
≅
ED
<C
≅
<F
<ABC
≅
<DEF
Δ
ABD ≅ Δ DEFGiven
Corresponding Angles Thrm.
AASSlide11
Trying Something New (6th Period)
Stand against the side wall
Choose your seat where YOU WOULD LIKE IT
Suggestions:
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If you don’t care about the material, pick a seat as far in the back as possible, so you
aren’t distracting the rest of us.