GEOMETRY HONORS CPCTC WARM UP: What is mB ? Justify your answer. 15o B NOTES: What method would be used to justify the following triangles are congruent? Determine 3 “Extra Facts” about the two given triangles When two triangles are congruent… CPCTC: Corresponding Parts of Congruent Triangles are Congruent
GEOMETRY HONORS CPCTC EXAMPLES: 1) Given: AD  AB and 1  2
Prove: D  B
Statements
1) _______________________
2) ______________________
3) AC  AC
4) ______________________
5) D  B
2) Given:
Reasons
1) Given
2) Given
3) ________________________
4) SAS  SAS
5) _______________________
DCFA , E  B , ED  AB ,
FD  DE , CA  AB .
Prove: EF  BC
Statements
1) DCFA
2) E  B ,
ED  AB
FD  DE
CA  AB
EDF and BAC are right 's
7) EDF  BAC
8) EDF  BAC
9) EF  BC
3)
4)
5)
6)
Reasons
1) _________________________
2) _________________________
3) _________________________
4) _________________________
5) _________________________
6) _________________________
7) _________________________
8) _________________________
9) _________________________
GEOMETRY HONORS CPCTC PRACTICE:
1) Given: AD and BE bisect
each other at C.
Prove: B  E
A B C D E 2) Given: BAD  BCD ,
BD  AC
≅
Prove:
B A C D 3) Prove ∠
≅ ∠
GEOMETRY HONORS CPCTC 4)
5.