- Which statement is NOT true? A Every square is a rhombus. B Every square is a rectangle. C Every rhombus is a parallelogram. D Every trapezoid is a parallelogram.
The Correct Answer and Explanation is:
The statement that is NOT true is D. Every trapezoid is a parallelogram.
Explanation:
Let’s break down each of the statements:
- A. Every square is a rhombus: This statement is true. A square is a special type of rhombus. Both squares and rhombuses have all four sides equal in length. The difference is that a square also has all angles equal to 90°, whereas a rhombus may not have right angles.
- B. Every square is a rectangle: This statement is true. A rectangle is defined as a quadrilateral with opposite sides equal and all angles being 90°. Since a square has these properties, it can be classified as a special type of rectangle.
- C. Every rhombus is a parallelogram: This statement is true. A rhombus is a type of parallelogram where all sides are of equal length. In general, parallelograms have opposite sides that are parallel and equal in length, and a rhombus satisfies this condition, but with the additional constraint of equal sides.
- D. Every trapezoid is a parallelogram: This statement is false. A trapezoid is a quadrilateral with at least one pair of parallel sides. A parallelogram, on the other hand, has two pairs of parallel sides. Therefore, a trapezoid cannot be classified as a parallelogram, since it does not meet the definition of having both pairs of parallel sides.
Thus, the correct answer is D. Every trapezoid is a parallelogram because it is not true.
