Are all trapezoids similar?

We claim that not all trapezoids are similar. A trapezoid must have exactly one pair of parallel sides. Adjusting the side lengths of the parallel sides would produce non-similar trapezoids. Q.E.D. read more

We claim that not all trapezoids are similar. A trapezoid must have exactly one pair of parallel sides. Adjusting the side lengths of the parallel sides would produce non-similar trapezoids. read more

Because the two trapezoids are similar, the ratio of their bases must be the same. Therefore, we must set up a cross-multiplication to solve for the missing base:, using as the variable for the missing base. Therefore, the length of the longer base of Trapezoid B is . read more