Question

determine if the conditional is true or false. if it is false, find a counterexample. if a figure is a rectangle, then it has four sides. choose the correct answer below. a. the conditional is false. all rectangles have 4 sides. b. the conditional is false. rectangles never have four sides. c. the conditional is false. a rhombus is a rectangle that does not have 4 sides. d. the conditional is true.

Explanation:

A rectangle is defined as a quadrilateral (a polygon with 4 sides). So, the statement "If a figure is a rectangle, then it has four sides" is true. A rhombus is a quadrilateral but not all rhombuses are rectangles. Rectangles always have 4 sides.

Answer:

A. The conditional is false. All rectangles have 4 sides. - False. Rectangles by definition have 4 sides.
B. The conditional is false. Rectangles never have four sides. - False. Rectangles always have 4 sides.
C. The conditional is false. A rhombus is a rectangle that does not have 4 sides. - False. A rhombus has 4 sides and not all rhombuses are rectangles.
D. The conditional is true.