What exactly is CPCT? please explain in simple words, and dont give me the full form, just explain me what it does. please be quick!
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CPCT stands for Corresponding Parts of Congruent Triangles . It is statement developed from the definition of congruent triangles. It allows us to prove things about the remaining unproven parts of the triangles that we have just proven congruent. It allows us to state correctly after two triangles are congruent, then corresponding parts that were not previously known to be congruent are now allowed to be considered congruent.
Example
SinceBO≅MAandBW≅MNandOW≅AN, we can conclude thatΔBOW ≅ΔMAN because of SSS.
Now we can say B ≅ M, O ≅ A, and W ≅ N because of CPCT. Since the two triangle were proven congruent, we can now correctly assume that corresponding parts that we knew nothing about, are now congruent.
Example
SinceBO≅MAandBW≅MNandOW≅AN, we can conclude thatΔBOW ≅ΔMAN because of SSS.
Now we can say B ≅ M, O ≅ A, and W ≅ N because of CPCT. Since the two triangle were proven congruent, we can now correctly assume that corresponding parts that we knew nothing about, are now congruent.
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