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Geometry/Trig 2 Name __________________________ 4-1 CPCTC Date ___________________________ Definition of Congruent: ___________________________________________________ ______________________________________________________________________
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Geometry/Trig 2 Name __________________________ 4-1 CPCTC Date ___________________________ Definition of Congruent: ___________________________________________________ ______________________________________________________________________ Definition of Congruent Triangles: ____________________________________________ ______________________________________________________________________ ______________________________________________________________________ Recall: ________________________________________________________________ ______________________________________________________________________ Write the converse to the above definition of Congruent Triangles Converse: ______________________________________________________________ ______________________________________________________________________ From this definition of congruent triangles, we can determine that ___________________ _____________________________________________________________________ Or _____________ So if you know triangles are congruent, ________________________________________ ______________________________________________________________________ Your justification (or reason) would be _____________ . Example 1: When describing congruent polygons, vertices are listed in order of correspondence. B Y ABC XYZ BCA _____ CBA _____ ACB _____ A C X Z Examples: The figures are congruent. Write two statements that describe the congruence. Diagram: Diagram: 2) ABC _____ 3) FGH _____ BAC _____ HFG _____
Geometry/Trig 2 4-1 CPCTC Notes Page 2 Example 4: If LMN RST, then the following corresponding parts are congruent. Angles: Sides: Diagram: L _____ LM _____ M _____ MN _____ N _____ LN _____ Example 5: Suppose WXY ABF. Complete. Diagram: 1) W ____ 2) mB ____ 3) XY ____ 4) AF ____ 5) F ____ 6) WX ____ 7) YWX _____ 8) BFA _____ Example 6: The triangles shown are congruent. Complete. Diagram: 1) ABD _____ 2) AB ____ 3) DC ____ 4) ABD _____ 5) Which property allows you to conclude that BD BD? Example 7: Suppose you know that AXB RST. Name the three pairs of corresponding sides. Name the three pairs of corresponding angles. Is it correct to say XAB STR? Is it correct to say BXA TSR?