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mary states, \if the diagonals of a parallelogram are congruent, then t…

Question

mary states, \if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.\ decide if her statement is true or false.

a. true
b. false

Explanation:

Analyze the geometric theorem

If a parallelogram has congruent diagonals, then it is a rectangle. This is a standard converse theorem in Euclidean geometry.

Evaluate the statement

Mary's statement is mathematically correct and represents a true property of quadrilaterals.

Answer:

  • A. True (Correct answer)
  • B. False