1. Congruent Triangle Theorems Date 2/13/19
Copy down the EQ
Work on Warm Up
Essential question
How many angle(s) or sides(s) do I need to provide that two triangles are congruent?
Warm up: Copy down the Purpose
Students will explore the main 4 Triangle Congruence Theorems. In each theorem. students will have determine the criteria's that needs to be met to prove that two triangles are congruent.

2. Purpose
Students will explore the main 4 Triangle Congruence Theorems. In each theorem. students will have determine the criteria's that needs to be met to prove that two triangles are congruent.

3. Core Concept: Side-Angle-Side Congruence Theorem
If two sides and the included angle of one triangle are congruent to two side, then the triangle are congruent

4. Practice using SAS Congruence
Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Theorem
No, there is a missing angle
Yes
No, The second side is no there
Yes

5. Practice using SAS Congruence
Decide whether enough information is given to prove that the triangles are congruent using the SAS Congruence Theorem
Yes
No, there is a missing angle

6. Core Concept: Side-Side-Side Congruence Theorem
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangle are congruent.

7. Practice using SSS Congruence
Decide whether enough information is given to prove that the triangles are congruent using the SSS Congruence Theorem
Yes
No, you only have 2 sides

8. Decide whether the congruence statement is true
Decide whether the congruence statement is true. Explain your reasoning.
Yes, by SSS
Yes, by SSS
Yes, by SSS
Yes, by SSS

9. Core Concept: Angle-Side-Angle Congruence Theorem
If two angles and the included side of one triangle are congruent to two angles and included side of a second triangle, then the two triangles are congruent.

10. Core Concept: Angle-Angle-Side Congruence Theorem
If two angle and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

11. Practice determining if two triangle are congruent
Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use.
Yes, by AAS theorem
Yes, by AAS theorem
No, there is SSA theorem
Yes, by ASA theorem

12. Congruent Triangle Theorems Date 2/22/19
Turn in yesterday worksheet to the back table
No EQ
Work The worksheet ASAP
Start on this page

13. SSS, SAS, ASA, and AAS Congruence
State if the two triangles are congruent. If they are, state how you know.

14. SSS, SAS, ASA, and AAS Congruence
State if the two triangles are congruent. If they are, state how you know.

15. SSS, SAS, ASA, and AAS Congruence
State if the two triangles are congruent. If they are, state how you know.

16. SSS, SAS, ASA, and AAS Congruence
State what additional information is required in order to know that the triangles are congruent for the reason given.

17. SSS, SAS, ASA, and AAS Congruence
State what additional information is required in order to know that the triangles are congruent for the reason given.

18. Proof that two triangles are congruent
Using a two column, prove that the two triangle are congruent using transformation.
Given
reflect the left triangle using the vertical line as the line of reflection
The two triangle are congruent by using a composition of rigid motion.

19. Proof that two triangles are congruent
Using a two column, prove that the two triangle are congruent using transformation.
Given
reflect the top triangle using the horizontal line as the line of reflection
The two triangle are congruent by using a composition of rigid motion.

20. Don’t reflect on a point
Proof that two triangles are congruent
Don’t reflect on a point
Reflect only on a line
Using a two column, prove that the two triangle are congruent using transformation.
Given
Rotate the top triangle clockwise so that the two triangle share a congruent side with the bottom triangle
reflect the right triangle using the shared congruent line as the line of reflection
The two triangle are congruent by using a composition of rigid motion.

21. Proof that two triangles are congruent
Using a two column, prove that the two triangle are congruent using transformation.
Given

22. Proof that two triangles are congruent

23. Proof that two triangles are congruent

24. Proof that two triangles are congruent

25. Proof that two triangles are congruent

26. Proof that two triangles are congruent

27. Proof that two triangles are congruent
Using a two column, prove that the two triangle are congruent using transformation.
Given
rotate the right triangle counterclockwise
reflect the right triangle about it self over the horizontal
translate the right triangle onto the left triangle so they share a congruent side
The two triangle are congruent by using a composition of rigid motion.

28. Proof that two triangles are congruent
Using a two column, prove that the two triangle are congruent using transformation.
Given
rotate the right triangle counterclockwise
translate the right triangle onto the left triangle so they share a congruent side
The two triangle are congruent by using a composition of rigid motion.