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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 224 4-9 and 12-17