1. Congruent Triangles
Unit 3

2. Congruent Triangles
Congruent triangles have 3 congruent sides and 3 congruent angles.
The parts of congruent triangles that “match” are called corresponding parts.

3. 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 statementB A C D F E
Complete each congruence statement
If ABC  DEF,
then BC  EF

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

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

8. Fill in the blank using the provided information
T  N
ATB  ONM
BA  MO
NM  TB
Fill in the blank using the provided information
BAT  MON

9. Complete the congruence statement.
MKL   JKN

10. Complete the congruence statement.
ABD   CBD

11. 5 Ways to prove a triangle is Congruent

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

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

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

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

16. Hypotenuse Leg (HL)
There is one more way to prove triangles congruent, but it’s only for right triangles.

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

18. 4 markings YOU can add if they aren’t marked already

19. Share a side
Reason: Reflexive Property

20. Vertical Angles
Reason: Vertical Angles are congruent

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

22. Isosceles Triangle
Reason: Opposite congruent sides are congruent angles