1. Warm Up (on the ChromeBook cart)

2. Hints on Proofs
If two triangles share a side, then you will probably use the ______________ property.
reflexive

3. Hints on Proofs
If you have vertical angles, you will probably use __________ ______ in the proof.
vertical
angles

4. Hints on Proofs
If you are given “midpoint” or “bisects”, then
you WILL use __________________,
_______________________, or
______________________ in the proof.
def. of midpoint
def. of segment bisector
def. of angle bisector

5. Hints on Proofs
If you are given parallel lines, then you will use _______________ _________.
alternate
interior

6. Hints on Proofs
If you are proving parts of a triangle are congruent, then the proof will probably end with ____________.
CPCTC

7. Ways to Prove Triangles are Congruent
Rt. ∆s only
SSS
SAS
ASA
AAS HL

8. Same Side Int. Angle Postulate
Linear Pair is Supplementary
Corresponding Angle Theorem
Definition of Supplementary Angles
Alternate Int. Angle Theorem
Perp. Lines form right angles
All right angles are congruent
Converse S-S Int. Angle Postulate
Def. of a right angle
Converse Corresponding Angle Theorem
Converse Alternate Int. Angle Theorem
Vertical Angles are congruent
Def. of a perpendicular bisector
ASA
Def. of a midpoint
SAS
Def. of Segment Bisector
SSS
Def. of Angle Bisector
AAS HL
Substitution
CPCTC
Reflexive
Symmetric
Third angle theorem
Transitive

9. The first step is to rewrite the given information, and the first reason is Given
The last step will be SSS, SAS, ASA, AAS, HL (or CPCTC)
YOUR REASON WILL NEVER BE PROVE
If you mark something in your picture, you need to state it in the proof
Once you have 3 congruent statements, you can state congruent triangles

10. 1.
Statements
Reasons

11. 2.
Statements
Reasons

12. 3.
Statements
Reasons

13. 4.
Statements
Reasons