Problem 167
Find a triangle in the figure that is congruent to the triangle given. Make a statement about this congruence, and give a reason why the two triangles are congruent:
Solution
ΔMKI
Triangle ΔMLI is congruent to triangle ΔMKI. Because accoding to the The Side-Side-Side (SSS)Postulate, if i three sides of one triangle are congruent to the corresponding
three sides of the second triangle, then the two triangles are congruent , in these both triangles lengths of MK and ML are the same, and the lengths of KI and LI are also the same. Evidently, both triangles have their third side of the same length, since its the same side MI for both.