1. Unit 8B
EQ:
What does it mean for two triangles to be congruent?

2. Congruent Triangles
Congruent figures have the same size and same shape.
The parts of congruent triangles that “match” are called corresponding parts.
Two polygons are congruent if ALL pairs of corresponding parts are congruent.

3. ORDER MATTERS!!!! In a congruence statement Everything matches up.
Informal Geometry
5/15/2018
Congruence Statement
In a congruence statement
ORDER MATTERS!!!!
Everything matches up.

4. Complete each congruence statement.B A C D F
DEF E

5. Complete each congruence statement.D B
ECD

6. Complete each congruence statement.K G H T
GTK

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

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

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

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

11. O because ________. CPCTC Fill in the blanks
If CAT  DOG, then A  ___
because ________. O
CPCTC O D G C A T

12. Q CPCTC B CPCTC Fill in the blanks If FJH  QRS, then ___
and F  ___ because _______. Q
CPCTC
If XYZ  ABC, then ___
and Y  ___ because _______. B
CPCTC

13. Complete each congruence statement.
If ABC  DEF,
then BC  ___ EF

14. Fill in the blanks
If CAT  DOG,
then ___  O. A

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

16. Congruent
Triangles

17. There are 5 ways to prove triangles congruent.

18. Side-Side-Side (SSS) Congruence Postulate
All 3 sides in one triangle are congruent to all three sides in the other triangle

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

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

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

22. There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLESHL

23. Your Only Ways To Prove Triangles Are Congruent
SSS
SAS
ASA
AAS HL
HA(AAS)
LL(SAS)
LA (ASA)
NO BAD WORDS
Your Only Ways To Prove Triangles Are Congruent

24. There are only 3 types of markings YOU can add to a triangle if they are not already marked.

25. Alt Int Angles are congruent given parallel lines
Overlapping sides are congruent in each triangle by the REFLEXIVE property
Alt Int Angles are congruent given parallel lines
Vertical Angles are congruent

26. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 1
SSS, SAS, ASA, AAS, HL, or not congruent.
SSS

27. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 2 I
AAS

28. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 3
SSS, SAS, ASA, AAS, HL, or not congruent.
Not congruent.

29. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 4
SSS, SAS, ASA, AAS, HL, or not congruent.
SAS

30. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 5
ASA

31. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 6
SSS, SAS, ASA, AAS, HL, or not congruent.
SSS

32. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 7
Not congruent

33. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 8
SAS

34. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 9
SSS, SAS, ASA, AAS, HL, or not congruent.
Not congruent.

35. SSS, SAS, ASA, AAS, HL, or not congruent.
Ex 10
SSS, SAS, ASA, AAS, HL, or not congruent. HL

36. Ex 11
What other pair of angles needs to be marked so that the two triangles are congruent by AAS? F D E M L N

37. Ex 12
What other pair of angles needs to be marked so that the two triangles are congruent by ASA? F D E M L N

38. Worksheet
Congruent Triangles #2