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Which statement is never true?

A Square ABCD is a rhombus
B Trapezoid GHJK is a parallelogram
C Parallelogram PQRS is a square
D Square WXYZ is a parallelogram

1 Answer

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Final answer:

Trapezoid GHJK is a parallelogram' is the statement that is never true because a trapezoid does not have two pairs of parallel sides which is a requirement for parallelograms.

Step-by-step explanation:

The question requires us to identify which statement about geometric figures is never true. A square is a special type of rhombus with all sides equal and all angles at 90 degrees, so statement A, 'Square ABCD is a rhombus' is true. For statement B, 'Trapezoid GHJK is a parallelogram', this is generally not true because a trapezoid has only one pair of parallel sides, unlike a parallelogram which has two pairs of parallel sides. Statement C, 'Parallelogram PQRS is a square', can be true if the parallelogram has equal sides and angles, although it is not always the case. Lastly, statement D, 'Square WXYZ is a parallelogram' is definitely true as a square has two pairs of parallel sides, which is a defining characteristic of a parallelogram. Therefore, the statement that is never true is B, 'Trapezoid GHJK is a parallelogram', as its definition contradicts the necessary characteristics of a parallelogram.

User Igor Turman
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