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AssignmentMultiple Choice

Special Parallelograms

Question 3 • *CR CCSS Math 2 S2 [M2960OX]

Which characteristic guarantees that a parallelogram is a rectangle?

Answer
A
All of the sides are congruent.
B
The opposite sides are parallel.
C
The diagonals are perpendicular bisectors.
D
The diagonals are congruent.

Explanation

A parallelogram is guaranteed to be a rectangle when its diagonals are congruent, meaning they have equal lengths. In a parallelogram, congruent diagonals imply that the angles are right angles, which is the defining feature of a rectangle. All sides congruent can describe a rhombus that is not a rectangle.

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