Which statement is true?
All quadrilaterals are rectangles
All quadrilaterals are squares
All rectangles are quadrilaterals
All quadrilaterals are parallelograms
Thank You :)
All rectangles are quadrilaterals
To determine which statement is true, let's analyze each one individually.
1. All quadrilaterals are rectangles: This statement is false. A quadrilateral is a shape with four sides, but not all quadrilaterals have four right angles, which is a defining characteristic of a rectangle. Therefore, some quadrilaterals are not rectangles.
2. All quadrilaterals are squares: This statement is false. A square is a shape with four equal sides and four right angles. However, not all quadrilaterals meet these criteria, so this statement is incorrect.
3. All rectangles are quadrilaterals: This statement is true. A rectangle is a shape with four right angles, and any shape with four sides is classified as a quadrilateral. So, all rectangles are indeed quadrilaterals.
4. All quadrilaterals are parallelograms: This statement is false. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. However, not all quadrilaterals have sides that meet these criteria, thus not all quadrilaterals are parallelograms.
Therefore, the correct statement is: "All rectangles are quadrilaterals."