1. 4-5 Proving Triangles Congruent (ASA , AAS)
Ms. Andrejko

2. Vocabulary
Included side- the side located between two consecutive interior angles of a polygon

3. Real-World

4. 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

5. *** KEY CONCEPT *** Copy on Index Card

6. Examples STATEMENTS REASONS DE // FG <EDF ≅ < GFD <E ≅ <G
DF ≅ FD
ΔDFG ≅ Δ FDE
Given
Alt. interior <‘s ≅
Given
Reflexive
AAS

7. STATEMENTS
REASONS
AB ≅ CB
<A ≅ <C
DB bisects <ABC
<ABD ≅ <CBD
Δ ABD ≅ Δ CBD
AD ≅ CD
Given
Def. of Bisector
ASA
CPCTC

8. STATEMENTS REASONS <N ≅ < L JK ≅ MK <JKN ≅ <MKL
Given
Vertical Angles are ≅
AAS

9. STATEMENTS
REASONS
<D ≅ <F
GE bisects <DEF
<DEG ≅ <GEF
GE ≅ GE
ΔDEG ≅ ΔFEG
DG ≅ FG
Given
Def. of bisector
Reflexive
AAS
CPCTC

10. STATEMENTS
REASONS
BC // EF
AB ≅ ED
<C ≅ <F
<ABC ≅ <DEF
Δ ABD ≅ Δ DEF
Given
Corresponding Angles Thrm.
AAS

11. Trying Something New (6th Period)
Stand against the side wall
Choose your seat where YOU WOULD LIKE IT
Suggestions:
If you would like to learn, pick a seat FRONT & CENTER
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.