Which quadrilateral has diagonals that bisect each other?

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Prepare for the Praxis Middle School Mathematics Exam with quizzes. Study with flashcards and multiple choice questions. Each question provides hints and detailed explanations. Ensure success on your test!

Multiple Choice

Which quadrilateral has diagonals that bisect each other?

Explanation:
Diagonals bisecting each other is a property of parallelograms. In any parallelogram, the diagonals cross at a point that is the midpoint of both diagonals. You can picture this by noting that rotating the shape 180 degrees around that intersection point maps the figure onto itself, so each diagonal is split into two equal halves. That central symmetry guarantees the intersection lies exactly halfway along each diagonal. Trapezoids don’t have this guaranteed midpoint property for their diagonals, so their halves aren’t necessarily equal. A circle isn’t a polygon with diagonals, and a triangle doesn’t have diagonals at all.

Diagonals bisecting each other is a property of parallelograms. In any parallelogram, the diagonals cross at a point that is the midpoint of both diagonals. You can picture this by noting that rotating the shape 180 degrees around that intersection point maps the figure onto itself, so each diagonal is split into two equal halves. That central symmetry guarantees the intersection lies exactly halfway along each diagonal.

Trapezoids don’t have this guaranteed midpoint property for their diagonals, so their halves aren’t necessarily equal. A circle isn’t a polygon with diagonals, and a triangle doesn’t have diagonals at all.

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