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QuestionMathematics

Is a rectangle always a square? A. True B. False
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Answer

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Step 1:
: Understand the definitions of a rectangle and a square.

A rectangle is a quadrilateral with all angles equal to 90 degrees. A square is a special type of rectangle where all sides are equal in length.

Step 2:
: Analyze the properties of a rectangle and a square.

Although a rectangle has all angles equal to 90 degrees, its sides do not have to be equal in length. However, a square is a rectangle with the additional property that all sides are equal in length.

Step 3:
: Compare the definitions and properties of a rectangle and a square.

Not all rectangles are squares because not all rectangles have equal side lengths. However, all squares are rectangles because they meet the definition of having all angles equal to 90 degrees.

Final Answer

B. False. A rectangle is not always a square.