Geometry/Trig 2 Name __________________________ 4-1 CPCTC Date ___________________________

1. 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  _____

2. 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) mB = ____ 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 that are congruent. _____  _____ _____  _____ _____  _____ Name the three pairs of corresponding angles that are congruent. _____  _____ _____  _____ _____  _____ Is it correct to say XAB STR? Is it correct to say BXA TSR?