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Can you conclude that this is a rhombus, rectangle or square. Explain. Thanks!

Can you conclude that this is a rhombus, rectangle or square. Explain. Thanks!-example-1
User MWinstead
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1 Answer

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Answer:

C. the quadrilateral is a square. The parallelogram is both a rhombus and a rectangle.

Explanation:

All parallelograms are quadrilaterals. All rhombuses and rectangles are parallelograms, all squares are both rhombuses and rectangles.

A parallelogram is a rhombus when the diagonals bisect opposite angles.

A parallelogram is a rectangle if the diagonals are congruent to each other.

Since the given parallelogram has the properties of both a rhombus and a rectangle, it is a square. The correct answer is C.


I really hope this helps =)

User LowPolyCorgi
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