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Multiple Choice

The diagonals of a rectangle have what property?

Diagonals in a rectangle are congruent and bisect each other. A rectangle is a parallelogram, so its diagonals cross at a point that splits each diagonal into two equal halves. Each diagonal serves as the hypotenuse of a right triangle formed by the rectangle’s width and height, so both diagonals have the same length, namely sqrt(width^2 + height^2). This combination of sharing a midpoint and having equal length explains why the diagonals are congruent and bisect each other.

Diagonals in a rectangle are congruent and bisect each other. A rectangle is a parallelogram, so its diagonals cross at a point that splits each diagonal into two equal halves. Each diagonal serves as the hypotenuse of a right triangle formed by the rectangle’s width and height, so both diagonals have the same length, namely sqrt(width^2 + height^2). This combination of sharing a midpoint and having equal length explains why the diagonals are congruent and bisect each other.