1. Lines, Angles and Triangles
Opening routine

2. Topic II: Lines, Angles and Triangles

3. Lines, Angles and Triangles
Triangles Congruence Postulates
Objective: Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.
Essential Question: How congruency criteria for triangles can be used to solve problems and prove relationships in geometric figures?

4. Lines, Angles and Triangles
Triangles Congruence Postulates
Vocabulary
Angle-Side-Angle (ASA) Postulate: Mathematical law stating that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS) Postulate: Mathematical law stating that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

5. Lines, Angles and Triangles
Triangles Congruence Postulates
Vocabulary
Side-Side-Side (SSS) Postulate: Mathematical law stating that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Angle-Angle-Side (ASA) Postulate: Mathematical law stating that if two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and side of a second triangle, then the triangles are congruent.

6. Lines, Angles and Triangles
Triangles Congruence Postulates
Vocabulary
Hypotenuse-Leg (HL) Postulate: Mathematical law stating that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

7. Lines, Angles and Triangles
Triangles Congruence Postulates

8. Lines, Angles and Triangles
Triangles Congruence Postulates

9. Lines, Angles and Triangles
Triangles Congruence Postulates

10. Lines, Angles and Triangles
Triangles Congruence Postulates

11. Lines, Angles and Triangles
Triangles Congruence Postulates

12. Lines, Angles and Triangles
Triangles Congruence Postulates

13. Lines, Angles and Triangles
Triangles Congruence Postulates

14. Lines, Angles and Triangles
Triangles Congruence Postulates

15. Lines, Angles and Triangles
Triangles Congruence Postulates

16. Lines, Angles and Triangles
Triangles Congruence Postulates

17. Lines, Angles and Triangles
Triangles Congruence Postulates

18. Lines, Angles and Triangles
Triangles Congruence Postulates

19. Lines, Angles and Triangles
Triangles Congruence Postulates

20. Lines, Angles and Triangles
Triangles Congruence Postulates

21. Lines, Angles and Triangles
Triangles Congruence Postulates

22. Lines, Angles and Triangles
Triangles Congruence Postulates

23. Lines, Angles and Triangles
Triangles Congruence Postulates
Determining Congruent Triangles Video

24. Lines, Angles and Triangles
Triangles Congruence Postulates
YOU DO - Independent Practice
Worksheet
Triangles Congruence
Pages 1 and 2

25. Lines, Angles and Triangles
Classifying Triangles
Homework
Worksheet
Triangles Congruence
Pages 1 and 2

26. Lines, Angles and Triangles
Classifying Triangles
Closure
Essential Question: How can triangles be classified according to the angles and the sides?