High School Math : How to find if rhombuses are similar

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #34 : Rhombuses

A quadrilateral ABCD has diagonals that are perpendicular bisectors of one another. Which of the following classifications must apply to quadrilateral ABCD?


I. parallelogram

II. rhombus

III. square



Possible Answers:

I and III only

I, II, and III

II and III only

I and II only

Correct answer:

I and II only


If the diagonals of a quadrilateral are perpendicular bisectors of one another, then the quadrilateral must be a rhombus, but not necessarily a square. Since all rhombi are also parallelograms, quadrilateral ABCD must be both a rhombus and parallelogram.



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