Call it true or false : 1. All squares is rectangles 2. All rectangles isn’t parallelograms 3. All squares isn’t rhombus 4. All rhomus is parallelogram
The Correct Answer and Explanation is:
Let’s go through each statement one by one:
- All squares are rectangles – True A square is a special type of rectangle where all sides are equal in length. By definition, a rectangle is a quadrilateral with four right angles. A square satisfies this definition because it has four right angles, making it a rectangle. The key difference is that, in a square, all sides are equal, whereas a rectangle only requires opposite sides to be equal. Hence, all squares are rectangles, but not all rectangles are squares.
- All rectangles aren’t parallelograms – False This statement is incorrect. All rectangles are parallelograms. A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. A rectangle fits this definition because it has opposite sides that are both parallel and equal. Additionally, the angles of a rectangle are all 90 degrees, which is a stricter condition than a parallelogram’s requirement for only parallel opposite sides. Therefore, every rectangle is a parallelogram.
- All squares aren’t rhombus – False This statement is incorrect. All squares are rhombuses. A rhombus is a quadrilateral where all four sides are of equal length. A square meets this condition because all its sides are equal in length. Additionally, a square has all the properties of a rhombus, but with the added condition of having four right angles. Therefore, every square is a rhombus, but not every rhombus is a square (since a rhombus does not necessarily have right angles).
- All rhombuses are parallelograms – True A rhombus is, by definition, a type of parallelogram. It is a quadrilateral where opposite sides are parallel, and all sides are of equal length. Since parallelograms only require opposite sides to be parallel and equal in length, rhombuses meet this criterion. Therefore, all rhombuses are parallelograms.
Summary:
- True – All squares are rectangles.
- False – All rectangles are parallelograms.
- False – All squares are rhombuses.
- True – All rhombuses are parallelograms.
