Download 4.4 Triangle Congruence SSS and SAS notes

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______________________
_________________________________________
______________________
Toolbox:
Essential Questions:
1)
2)
Vocabulary
Triangle rigidity – it states if the _________ lengths of a ______________ are
given, the ____________ can have only _________ shape.
Included angle – an _________ formed by _____ _______________ sides of a
_______________.
Remember!
__________________ triangles share a ___________, so you can apply the
____________________ to get a pair of _________________ parts.
Example 1: Using SSS to Prove Triangle Congruence
Using SSS to explain why ABC  DBC
Given:
Caution
The letters ___________ are written in that ____________ because the __________
angles must be between ___________ of ___________ corresponding __________.
Example 2: Engineering Application
The diagram shows part of the support structure for a tower. Use SAS to explain
why ∆XYZ  ∆VWZ
Example 3A: Verifying Triangle Congruence
Show that the triangles are congruent for the given value of the variable.
∆MNO  ∆PQR, when x = 5.
Example 3B: Verifying Triangle Congruence
Show that the triangles are congruent for the given value of the variable.
∆STU  ∆VWX, when y = 4.
Example 4: Proving Triangles Congruent
Given:
Prove:
Statement
1)
2)
3)
4)
5)
Reason
1)
2)
3)
4)
5)