Which of the following statements is true?
A. All squares are rectangles.***
B. All rectangles are squares.
C. All rhombuses are squares.
Right.
To determine which statement is true, you need to understand the properties and relationships between these geometric shapes.
A. The statement "All squares are rectangles" is true. A square is a special type of rectangle that has all four sides equal in length and all four angles at 90 degrees. By definition, a rectangle is a quadrilateral with four right angles, so a square, which has both these properties, can be considered a type of rectangle.
B. The statement "All rectangles are squares" is false. While all squares are rectangles, not all rectangles are squares. A rectangle is a quadrilateral with four right angles, but its sides do not have to be equal in length. In contrast, a square is a special type of rectangle with both equal sides and equal angles.
C. The statement "All rhombuses are squares" is false. A rhombus is a quadrilateral with all sides of equal length, but its angles are not all equal. In a rhombus, opposite angles are equal, but they are not necessarily 90 degrees. In contrast, a square has all four sides equal in length and all four angles at 90 degrees.
Therefore, the correct statement is A. All squares are rectangles.