Congruent Triangles Day 6. Day 6 Math Review Objectives  Use properties of congruent triangles.  Prove triangles congruent by using the definition.

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Presentation transcript:

Congruent Triangles Day 6

Day 6 Math Review

Objectives  Use properties of congruent triangles.  Prove triangles congruent by using the definition of congruence.  Apply SSS, SAS, ASA, AAS, and HL to construct triangles and solve problems.  Prove triangles congruent by using SSS, SAS, ASA, AAS and HL.  Use properties of congruent triangles.  Prove triangles congruent by using the definition of congruence.  Apply SSS, SAS, ASA, AAS, and HL to construct triangles and solve problems.  Prove triangles congruent by using SSS, SAS, ASA, AAS and HL.

Vocabulary corresponding angles corresponding sides congruent polygons triangle rigidity included angle included side corresponding angles corresponding sides congruent polygons triangle rigidity included angle included side

Activity  Choose one of the following explorations: 4- 3, 4-4, and 4-5 (p in packet)  Complete your explorations  You have 20 minutes.  Explain finding to the class.  Choose one of the following explorations: 4- 3, 4-4, and 4-5 (p in packet)  Complete your explorations  You have 20 minutes.  Explain finding to the class.

Geometric figures are congruent if they are the same size and shape. Corresponding angles and corresponding sides are in the same position in polygons with an equal number of sides. Two polygons are congruent polygons if and only if their corresponding sides are congruent. Thus triangles that are the same size and shape are congruent.

The property of triangle rigidity gives you a shortcut for proving two triangles congruent. It states that if the side lengths of a triangle are given, the triangle can have only one shape.

An included angle is an angle formed by two adjacent sides of a polygon. B is the included angle between sides AB and BC.

An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.

Work Time  Complete pages in your workbook  Complete, Correct pages will be stamped  Return to class bin when you are finished  Complete pages in your workbook  Complete, Correct pages will be stamped  Return to class bin when you are finished

Exit Quiz  Complete the quiz  Show any and all work that you can  Circle your answers  Turn it in before you leave  Complete the quiz  Show any and all work that you can  Circle your answers  Turn it in before you leave