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State whether True or False. All squar...

State whether True or False.
All squares are rhombuses and also rectangles.

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To determine whether the statement "All squares are rhombuses and also rectangles" is true or false, we will analyze the definitions of squares, rhombuses, and rectangles step by step. ### Step 1: Understand the Definition of a Square A square is defined as a quadrilateral with: - All four sides of equal length. - All four angles equal to 90 degrees. ### Step 2: Understand the Definition of a Rhombus A rhombus is defined as a quadrilateral with: - All four sides of equal length. - The opposite angles are equal, but they are not necessarily 90 degrees. ### Step 3: Compare Square and Rhombus Since a square has all sides equal (like a rhombus) and also has all angles equal to 90 degrees, we can conclude that: - **Every square is a rhombus** because it satisfies the condition of having all sides equal. ### Step 4: Understand the Definition of a Rectangle A rectangle is defined as a quadrilateral with: - Opposite sides equal in length. - All four angles equal to 90 degrees. ### Step 5: Compare Square and Rectangle Since a square has all angles equal to 90 degrees and opposite sides equal (as all sides are equal), we can conclude that: - **Every square is a rectangle** because it satisfies the condition of having all angles equal to 90 degrees. ### Conclusion Since we have established that: - All squares are rhombuses. - All squares are rectangles. Therefore, the statement "All squares are rhombuses and also rectangles" is **True**. ---
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