retangle ABCD~ retangle EFGH. which similarity postulate or theorem lets you conclude that trianle BCD~ triangle FGH?
1)AA
2)SSS
3)SAS
4) non of these
I think it's number 4
To determine the similarity between triangle BCD and triangle FGH, we can use the Side-Angle-Side (SAS) similarity theorem. This theorem states that if two triangles have two pairs of corresponding sides that are proportional and an included angle that is congruent, then the triangles are similar.
In this case, since rectangle ABCD is similar to rectangle EFGH, we can conclude that the corresponding triangles BCD and FGH are also similar. Rectangle ABCD and rectangle EFGH are similar because all of their corresponding angles are congruent and the ratios of corresponding sides are equal.
Therefore, the correct answer is 3) SAS.