In gemortry, CPCTC is the abbreviation of a therom involving congrugent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. CPCTC states that if two or more triangles are proven congruent by: ASA, AAS, SSS, HL, or SAS, then all of their corresponding parts are congruent as well.
If
then the following conditions are true:
A related theorem is CPCFC, in which triangles is replaced with figures so that the theorem applies to any polygon or polyhedrogen.
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A scale factor requires two measures.
You find the scale factor on a triangle by dividing the short side by the long side.
If the scale factor is r, then the new area will be the area of the original multiplied by r^2
Every part of the original scales by the same scale factor. By using a segment of the original you will determine the scale factor by dividing the length of the image by the length of the original.
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