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 #1 : How To Find If Rhombuses Are Similar

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 II only

I, II, and III

I and III only

II and III only

Correct answer:

I and II only

Explanation:

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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