Similar Triangles

Chapter 6.2 from the text is on similar triangles. Similar triangles have three pairs of congruent angles and pairs of sides that are proportional. A similarity postulate is derived from the definition of similar triangles, i.e., two triangles are similar if and only if three angles are congruent. This postulate can then be deduced to a triangle similarity theorem: two triangles are similar if two pairs of angles from each are similar. There are two other theorems I learned too: the Side Angle Side (SAS) Similar Triangle Theorem and the Side Side Side (SSS) Similar Triangle Theorem. Essentially, SAS applies to two triangles with proportional sides and a congruent angle, and SSS applies to triangles with three congruent sides. Last, I learned two right similar triangle corollaries, i.e., two right triangles are similar if an acute angle of one is congruent to another and two right triangles are similar if the two legs are proportional to the legs of another.

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