6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.

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Presentation transcript:

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro

Congruent Figures  Naming figures must be done correctly, so that you can write accurate congruence statements.

If you are trying to determine if two triangles are congruent, you will compare the angles and the sides. If all pairs of angles are congruent and all pairs of sides are congruent, then the triangles are congruent to each other.

Postulate shortcuts to Proving Congruence of Triangles  SSS  if the three sides of one triangle are congruent to the three sides of another triangle, the triangles are congruent.  SAS  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

Postulate shortcuts to Proving Congruence of Triangles  ASA  if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle the triangles are congruent.  AAS  if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are congruent.

CPCTC: Corresponding parts of Congruent Triangles are Congruent

Turn in the following problems 1. 2.