1. Congruent Triangles

2. Congruent triangles have 3 congruent sides and 3 congruent angles.
Informal Geometry
12/6/2018
Congruent Triangles
Congruent triangles have 3 congruent sides and 3 congruent angles.
The parts of congruent triangles that “match” are called corresponding parts.

3. ORDER MATTERS!!!! In a congruence statement Everything matches up.
Informal Geometry
12/6/2018
Congruence Statement
In a congruence statement
ORDER MATTERS!!!!
Everything matches up.

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

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

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

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

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

9. BAT  MON T  ___ _____  ONM _____  MO NM  ____
Fill in the blanks
BAT  MON
T  ___
_____  ONM
_____  MO
NM  ____

10. Fill in the blanks
BCA   ____
____   GFE

11. Complete the congruence statement.
_____   JKN

12. Complete the congruence statement.
_____   CBD

13. 5 ways to Prove Triangles Congruent

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

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

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

17. 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

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

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

20. 4 markings YOU can add if they aren’t marked already

21. Share a side Vertical Angles Reason: Reflexive Property
Reason: Vertical Angles are congruent

22. Alternate Interior Angles
Reason: Alt. Int angles are congruent

23. Opposite congruent sides are congruent angles.
Isosceles Triangle
Opposite congruent sides are congruent angles.