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Lines, Angles and Triangles

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Presentation on theme: "Lines, Angles and Triangles"— Presentation transcript:

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?

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