Name:______________________________________
Congruent Triangle Proofs
Date:_______ Period:_____
Ms. Anderle
Congruent Triangle Proofs
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In a Geometry proof, we use the _____________________ 2-column format.
The first column is for __________________________.
The second column is for _______________________.
You must use each _______________.
o Each “given” either directly gives you a pair of congruent sides or
angles… or leads you to one!
 The last Statement you write is always what you were told to _______________.
In this unit, we are going to focus on proving that two triangles are congruent.
For each proof, you will use the given information to show that there are corresponding
congruent parts to fulfill one of the Congruent Triangle Theorems.
Example:
 MIC  KEY
Given: MI  KE
 MCI  KYE
Prove: MIC  KEY
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
***Always remember to MARK YOUR DIAGRAM with the congruent parts!!!***
Practice…
Prove the triangles are congruent using one of the Congruent Triangle Theorems.
1) Given: DO  CA
OG  AT
DG  CT
Prove: DOG  CAT
Statements
Reasons
**Remember to number your Statements and Reasons!**
2) Given: AB  DG
 CBA  FED
CB  FE
Prove: ABC  DEF
**Don’t forget to write in the Statement-Reason columns!**