The bases BC and AD of trapezoid ABCD are 4.5 and 18, respectively, BD = 9. Prove that triangles CBD and BDA are similar.

Similarity can be proved using similarity criteria. We know the lengths of the sides, so we will use them. BC refers to BD as BD to AD. Similarity coefficient = 0.5. The proof lacks equality of angles. Angle ABD = Angle CBD, with secant BD. The triangles CBD and BDA are similar in the second characteristic of similarity.



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