Which of the following is a true statement?
A. All squares are rectangles.
B. All rectangles are squares.
C. All rhombuses are squares
And your answer is?
A is correct!
Please try again after reading the following. If possible, please explain the reasoning of your choice.
A square must have equal sides.
A rectangle may have unequal sides, but sides do not have to be unequal.
A rhombus must have equal sides, and one of the angles can be anything between 0 and 180°.
what are the answers?
what are the correct answers
C. All rhombuses are squares
To determine which statement is true, let's analyze each option.
A. All squares are rectangles: This statement is true. A square is a special type of rectangle where all four sides are equal in length. Since a rectangle can have unequal side lengths, but a square has all sides equal, every square can be considered a rectangle.
B. All rectangles are squares: This statement is false. A square is a special type of rectangle characterized by all sides being equal in length. However, rectangles can have different side lengths. Therefore, not all rectangles are squares.
C. All rhombuses are squares: This statement is false. A rhombus is a quadrilateral with all sides of equal length, but the angles are not necessarily right angles. A square, on the other hand, is a specific type of rhombus where all angles are right angles. Therefore, not all rhombuses are squares.
Based on the explanations provided, option A is the correct statement.