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CPCTCCorresponding parts of congruent triangles are congruent CPCTC is a short hand acronym for the phrase
Theorems and Postulates for proving triangles congruent Hypotenuse Leg Theorem | Side Side Side | Side Angle Side | Angle Side Angle | Angle Angle Side |isosceles triangle proofs|CPCTC | indirect proof| quiz on all theorems/postulates | Images Free Math Printable Worksheets:  Worksheets & Activities on Triangle Proofs
Remember the meaning of congruent triangles. Two triangles are congruent if all 3 sides and 3 angles of one triangle equal all 3 sides and all 3 angles of the other triangle. CPCTC takes advantage of this fact. The general method is to first prove that 2 triangles are congruent and then use that knowledge to prove that a certain pair of corresponding sides or angles are congruent.
Consider the two triangles below.
If we want to prove that KJ = JI, we have to first prove that  HJK  HJI . Once we know that the triangles are congruent, we can state that any pair of corresponding sides or angles are also, by definition of congruent triangles, congruent.Top |
