A and B are the endpoints of a bridge going over a river.How do we use CPCTC to prove corresponding parts of triangles?ĬPCTC stands for Corresponding Parts of Congruent Triangles are Congruent and is used to justify two triangles are congruent in a proof. ![]() It means that once two triangles are proven to be congruent, then the three pairs of sides that correspond must be congruent and the three pairs of angles that correspond must be congruent. CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are congruent. For example: is congruent to: (See Solving SSS Triangles to find out more) 2. SSS (side, side, side) SSS stands for 'side, side, side' and means that we have two triangles with all three sides equal. 52 32 +perpendicular2 5 2 3 2 + perpendicular 2. hypotenuse2 base2 +perpendicular2 hypotenuse 2 base 2 + perpendicular 2. CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent.ĬPCTC is an acronym for corresponding parts of congruent triangles are congruent. There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. So, in two right triangles, if the length of base and hypotenuse are 3 units and 5 units respectively, then perpendicular of both the triangles is of length 4 units. Videos, worksheets, solutions, and activities to help Geometry students learn about CPCTC. Examples on SSA Congruence Rule Example 1: Triangle ABC is an isosceles triangle and the line segment AD is the angle bisector of the angle A.
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