1. Triangle Congruence

2. 3 line segments (dried spaghetti sticks – make three different sizes) Take 3 line segments Make a triangle Mark the vertices Draw the triangle Now make a different triangle with the same three segments that is not congruent

3. 3 line segments - SSS Congruency NOT POSSIBLE The two triangles are congruent, therefore SSS Congruency – If the sides of one /\ are  to the sides of another /\ then the /\’s are .

4. 2 line segments & an angle Take 2 line segments Make an angle on the overhead Mark the endpoints and vertex Draw the triangle Now make a different triangle with the same 2 segments & a protractor to measure the angle

5. 2 line segments & an angle – SAS  NOT POSSIBLE The two triangles are congruent, therefore SAS Congruency – If 2 sides and the included angle of one /\ are  to 2 sides and the included angle of another /\ then the /\’s are .

6. 2 angles & a line segment Pick 2 angle measures Draw the 2 angles using the one side Mark the endpoints and vertices Draw the triangle Now make a different triangle with the same 2 angles & the side

7. 2 angles & a line segment – ASA  NOT POSSIBLE The two triangles are congruent, therefore ASA Congruency – If 2 angles and the included side of one /\ are  to 2 angles and the included side of another /\ then the /\’s are .

8. Triangle Congruence Postulates SSS  ASA  SAS 

9. Other Possibilities? AAA 87  61  32  Can you make another triangle with same angles but not congruent?

10. Other Possibilities? AAA 87  61  32  87  32  61  You can have 3 angles congruent and the sides proportional. These are Similar Triangles

11. Other Possibilities…AAS Theorem Lets do the proof

12. Other Possibilities? SSA Angle = 30 

13. Other Possibilities? SSA 30 

14. Other Possibilities? SSA 30  Given one angle and 2 sides not including This is not a triangle congruence theorem!!