Mathematics

Ruth Robbins

11 April, 20:39

If a quadrilateral has perpendicular diagonals, then it is a rectangle.

Which of the following arguments is valid with respect to the conditional statement premise above?

1. A quadrilateral is a rectangle.

Therefore, it has perpendicular diagonals.

2. A quadrilateral does not have perpendicular diagonals.

Therefore, it is not a rectangle.

3. A quadrilateral has perpendicular diagonals.

Therefore, it is a rectangle.

4. A quadrilateral is not a rectangle.

Therefore, it does not have perpendicular diagonals.

A. 3 and 4

B. 1 only

C. 1 and 3

D. None of the arguments are valid.