Question: A rhombus is a parallelogram in which all four sides have equal length. Show that the diagonals of a parallelogram are perpendicular if and only

A rhombus is a parallelogram in which all four sides have equal length. Show that the diagonals of a parallelogram are perpendicular if and only if the parallelogram is a rhombus. Take an approach similar to the solution in Example 5, and consider x · y.

EXAMPLE 5 Figure 7 shows a parallelogram whose diagonal lengths are x and y and whose side lengths are a and

EXAMPLE 5 Figure 7 shows a parallelogram whose diagonal lengths are x and y and whose side lengths are a and b. Prove that x + y 2 a = a + b

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