Congruent Triangles Congruency statements and why triangles are congruent.

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Presentation transcript:

Congruent Triangles Congruency statements and why triangles are congruent

Why or How are triangles congruent What needs to be true about two triangles for them to be congruent Congruent – exactly the same Corresponding – same location in two figures, angle between congruent sides, right angle Assign groups to make specific types of triangles Sides Sides and Angle Angles and sides

Side Side Side If 3 sides of one triangle are congruent to 3 corresponding sides of another triangle then the triangles are congruent

Side Angle Side If two sides and the included angle of one triangle are congruent to two corresponding sides and the included angle of another triangle then the two triangles are congruent Included angle – angle between the two given sides

Angle Side Angle If two angles and the included sides of one triangle are congruent to two angles and the included side of another triangle then the triangles are congruent Included side – side between the two given angles

Side Side Angle This one does not work This spells a bad work backwards and we can’t use bad words in this class so it can’t be used

Congruence Statement Remember corresponding parts of one triangle need to be in the same order as the second triangle

Examples

Homework Pg and 12-17