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Look at the pictures below to see what corresponding sides and angles look like.
Corresponding triangles math. You can use the corresponding parts of a triangle to say that 2 or more angles are congruent. These shapes must either be similar or congruent. When two triangles are congruent all their corresponding angles and corresponding sides referred to as corresponding parts are congruent. This phrase means that the measure of each side and angle of each triangle corresponds to a side or angle of the other triangle.
That means every part of bcd corresponds to bca so angle b is congruent to angle b angle c is congruent to angle c and angle d is congruent to angle a. Once it can be shown that two triangles are congruent using one of the above congruence methods we also know that all corresponding parts of the congruent triangles are congruent abbreviated cpctc. To prove that two triangles have the same shape certain parts of one triangle must coincide with certain parts of the other triangle. Specifically the vertices of each triangle must have a one to one correspondence.
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