Quadrilaterals Bisecting Diagonals

My diagonals are perpendicular. I am a:

• Rectangle

• Square

• Rhombus

• Kite

• Trapezoid

Has two bisecting diagonals.

• Rectangle

• Parallelogram

• Square

• Rhombus

• Kite

Diagonals bisect each other.

• Parallelograms

• Kites

• Trapezoids

• Quadrilaterals

One diagonal bisects the other.

• Kite

• Isosceles Trapezoid

• Rhombus

• Parallelogram

Diagonals are congruent

• Kite

• Trapezoid

• Isosceles Trapezoid

• Quadrilateral

For which quadrilaterals are the diagonals bisecting each other?

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Which formula can be used to prove the diagonals of a quadrilateral are bisecting each other?

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If the midpoints of the diagonals are the same, then ___________________________.

• the diagonals are congruent.

• the diagonals are perpendicular.

• the diagonals are bisecting each other.

A student's work for a coordinate geometry proof is shown above. What does the student's work mean?

• The opposite sides are congruent which means the quadrilateral is a parallelogram.

• The diagonals are congruent which means the quadrilateral is a rectangle.

• The slopes of the diagonals are equal which means the quadrilateral is a rhombus.

• The midpoints of the diagonals are equal which means the quadrilateral is a rectangle.

Use the diagram which shows rhombus PQRS where the diagnols intersect at point T, m∠RPS = 30° and QT = 6. Find the m∠QPR.

• 60°

• 30°

• 90°

• 150°

Answer explanation

Property of a Rhombus: Diagonals Bisect the Angles.