Lines, Angles and Triangles

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Presentation transcript:

Lines, Angles and Triangles Opening routine

Topic II: Lines, Angles and Triangles

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?

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.

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.

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.

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates

Lines, Angles and Triangles Triangles Congruence Postulates Determining Congruent Triangles Video https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-triangle-congruence/v/finding-congruent-triangles

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

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

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