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Congruent Triangles Examples Hl. In the simple case below, the two triangles pqr and lmn are congruent because every corresponding side has the same length, and every corresponding angle has the same measure. The triangles in figure 1 are congruent triangles.

The hl postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent. There are five ways to find if two triangles are congruent: For a list see congruent triangles.

According to the above postulate the two triangles are congruent.

The comparison done in this case is between the sides and angles of the same triangle.when we compare two different triangles we follow a different set of rules. The application of triangles identical in shape and size is of utmost significance, because of the gravitational property of the congruent triangles. Thus, triangle bcd is congruent to triangle abc example 3 : The hypotenuse of a right triangle is the longest side. What theorem or postulate would you use to prove that the triangles are congruent? This concept teaches students how to write congruence statements and use congruence statements to determine the corresponding parts of triangles.