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 congruentCongruent – exactly the sameCorresponding – same location in two figures, angle between congruent sides, right angle

Assign groups to make specific types of trianglesSidesSides and AngleAngles 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 congruentIncluded 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 congruentIncluded side – side between the two given angles

Side Side Angle

This one does not workThis 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 224 4-9 and 12-17