To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.
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Here guys Thanks :D Congruent triangles are similar figures with a ratio of similarity of 1, that is 1 1 . One way to prove triangles congruent is to prove they are similar first, and then prove that the ratio of similarity is 1. In these sections of the text the students find short cuts that enable them to prove triangles congruent in fewer steps, by developing five triangle congruence conjectures. They are SSS! , ASA! , AAS! , SAS! , and HL ! , illustrated below.
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.
why triangle are similar
Not always, sometimes two obtuse triangles are similar and sometimes they are not similar.
prove any two adjacent triangles as congruent