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Which of the diagrams below represents the statement "If it is a square, then it is a rectangle"?A.Figure AB.Figure BSUBMITarrow_backPREVIOUS

Question

Which of the diagrams below represents the statement "If it is a square, then it is a rectangle"?

A. Figure A
B. Figure B


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Solution

The statement "If it is a square, then it is a rectangle" reflects a logical implication. In this case, all squares are rectangles, but not all rectangles are squares.

To determine which diagram best represents this statement, look for the following characteristics:

  1. Diagram of a square: It should be enclosed within the diagram of a rectangle, indicating that all squares (as a subset) are indeed rectangles (the larger set).
  2. Not all rectangles should encompass squares: There should be some area of the rectangle that does not include squares, emphasizing that not all rectangles are squares.

Among the provided options, choose the figure that illustrates the square as a subset within the rectangle, confirming the implication.

Thus, the correct figure would be the one showing squares contained within rectangles, typically illustrated in a Venn diagram style.

Final Answer: Choose the diagram that shows squares as a subset within rectangles (often represented with circles or shapes overlapping).

This problem has been solved

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