Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rhombus? E(2, 5), F(1, 3), G(2, 1), H(3, 3)

Sammy can use the distance formula to show that the opposite sides have equal slopes.
Sammy can use the distance formula to show that all sides are equal.
Sammy can use the slope formula to show that the opposite sides have equal slopes.
Sammy can use the slope formula to show that all sides are equal.

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  (b)  Sammy can use the distance formula to show that all sides are equal

Step-by-step explanation:

A rhombus is a special parallelogram in which all sides are equal length. The appropriate choice is ...

  Sammy can use the distance formula to show that all sides are equal

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The distance formula tells nothing about slopes (eliminates A), and th eslope formula tells nothing about lengths (eliminates D). Knowing sides are parallel (choice C) is insufficient to tell you the figure is a rhombus.