In this lesson we’ll look at how to use two more triangle congruence theorems, called angle, angle, side (AAS) and hypotenuse, leg (HL), to show that triangles, or parts of triangles, are congruent to one another.
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CPCTC stands for “corresponding parts of congruent triangles are congruent.” In some of the previous lessons on congruence, we used congruent parts of a pair of triangles to try to prove that the triangles themselves are congruent. CPCTC flips this around, and makes the point that, given two congruent triangles, corresponding parts of those triangles must also be congruent.
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In this lesson we’ll look at how to use triangle congruence theorems to prove that triangles, or parts of triangles, are congruent to one another. A pair of congruent triangles have exactly the same size and shape. That means that all pairs of sides are the same length and all pairs of angles have the same measure. You know that triangles are congruent to one another if the pairs of sides and angles are congruent. The good news is you don’t have to show that all six pairs match up.
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