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tmua.me Medium Set E Paper 2 · Q3

Paper 2Logic & proofGeometry

Consider the statement:

If a quadrilateral is a square, then its diagonals are perpendicular and equal in length.

Which of the following is the contrapositive of this statement?

AIf a quadrilateral has diagonals that are not perpendicular or are not equal in length, then it is not a square.
BIf a quadrilateral has diagonals that are perpendicular and equal in length, then it is a square.
CIf a quadrilateral is not a square, then its diagonals are not perpendicular or are not equal in length.
DIf a quadrilateral has diagonals that are not perpendicular and are not equal in length, then it is not a square.
EIf a quadrilateral has diagonals that are not perpendicular or are not equal in length, then it is a square.

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