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Question
fill in the blank 1 point choose your answer... all squares are rectangles. some squares are rectangles. rectangles are not squares. all rectangles are squares. choose your answer... a conditional or compound statement.
To determine which statement is a conditional or compound statement (or to identify the correct one based on the context, likely about the relationship between squares and rectangles), we analyze each:
- "All squares are rectangles": A square has four right angles and four equal sides, a rectangle has four right angles. So all squares (with four right angles and equal sides) are rectangles (with four right angles). This is a true universal statement.
- "Some squares are rectangles": Since all squares are rectangles, "some" is also true but less precise than "all".
- "Rectangles are not squares": False, as some rectangles (those with equal sides) are squares.
- "All rectangles are squares": False, as rectangles can have unequal side lengths (only those with equal sides are squares).
Assuming the question is to identify the true statement about the relationship (or the one that fits a conditional/compound context correctly), "All squares are rectangles" is correct because by definition, a square meets all the criteria of a rectangle (four right angles, opposite sides equal) and has the additional property of all sides equal.
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All squares are rectangles