1. Informal Geometry
9/13/2018
Congruent Triangles
Congruent triangles have 3 congruent sides and 3 congruent angles.
The parts of congruent triangles that “match” are called corresponding parts.

2. ORDER MATTERS!!!! In a congruence statement Everything matches up.
Informal Geometry
9/13/2018
Congruence Statement
In a congruence statement
ORDER MATTERS!!!!
Everything matches up.

3. Corresponding Parts of Congruent Triangles are Congruent
CPCTC
Corresponding Parts of Congruent Triangles are Congruent

4. Complete each congruence statement.B
If ABC  DEF,
then BC  ___ EF A C D F E

5. Complete each congruence statement.B
If ABC  DEF,
then A  ___ D A C D F E

6. Complete each congruence statement.B
If ABC  DEF,
then C  ___ F A C D F E

7. Fill in the blanks
If CAT  DOG,
then AC  ___ OD

8. BAT  MON N T  ___ _____  ONM _____  MO ATB NM  ____ BA TB
Fill in the blanks
BAT  MON N
T  ___
_____  ONM
_____  MO
NM  ____
ATB BA TB

9. Fill in the blanks
BCA   ____
____   GFE
EGF
CAB

10. Complete the congruence statement.
MKL
_____   JKN

11. Complete the congruence statement.
ABD
_____   CBD

12. There are 5 ways to prove triangles congruent.

13. Side-Side-Side (SSS) Congruence Postulate
All Three sides in one triangle are congruent to all three sides in the other triangle

14. Side-Angle-Side (SAS) Congruence Postulate
Two sides and the INCLUDED angle
(the angle is in between the 2 marked sides)

15. Two Angles and One Side that is NOT included
Angle-Angle-Side (AAS) Congruence Postulate A S A S
Two Angles and One Side that is NOT included

16. Angle-Side-Angle (ASA) Congruence Postulate
Two angles and the INCLUDED side
(the side is in between the 2 marked angles)

17. There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse LegHL

18. Your Only Ways To Prove Triangles Are Congruent
SSS
SAS
ASA
AAS HL
NO BAD WORDS
Your Only Ways To Prove Triangles Are Congruent

19. 2 markings you can add if they aren’t marked already

20. Reason: reflexive property
Share a side
Reason: reflexive property
Vertical Angles
Reason: Vertical Angles are congruent