Which statement is a true statement all rectangles or squares all squares or rectangles every rhombus is a rectangle every rectangle is a rhombus
Huh? Post it again, check your spelling. Put it in a,b,c,d form
in your text, you typed "or", do you mean are?
To determine which statement is true, let's analyze each statement one by one:
1. All rectangles are squares: This statement is false. A rectangle is a quadrilateral with opposite sides that are equal in length and all angles are right angles. A square is a special kind of rectangle where all sides are equal in length. Therefore, while all squares are rectangles, not all rectangles are squares because they don't have equal side lengths.
2. All squares are rectangles: This statement is true. A square is a specific type of rectangle where all sides are equal in length and all angles are right angles. Since a square meets the criteria for a rectangle, it can be considered a rectangle as well.
3. Every rhombus is a rectangle: This statement is false. A rhombus is a quadrilateral with all sides equal in length, but its angles are not necessarily right angles. Unlike a rectangle, a rhombus does not have all angles measuring 90 degrees. Therefore, not every rhombus can be considered a rectangle.
4. Every rectangle is a rhombus: This statement is false. A rectangle has opposite sides that are parallel and equal in length, with all angles measuring 90 degrees. A rhombus, on the other hand, has all sides equal in length but the opposite sides are not necessarily parallel and the angles are not necessarily right angles. Therefore, not every rectangle can be considered a rhombus.
In conclusion, the statement "All squares are rectangles" is the true statement among the options provided.