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Jeff preformed a translation. Could the parallelogram he started with become a trapezoid after the translation? Explain.

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Final answer:

A parallelogram cannot become a trapezoid through translation because a translation does not alter the shape's properties, and a parallelogram and a trapezoid have inherently different attributes.

Step-by-step explanation:

The student is asking whether a parallelogram can become a trapezoid after a translation. In geometry, a translation is a type of transformation that slides a shape in any direction without changing its size, shape, or orientation. Since the parallel sides of a parallelogram remain parallel after translation and none of its properties are altered, a parallelogram cannot become a trapezoid as a result of translation. A trapezoid is defined by having only one pair of parallel sides, which is a different attribute from a parallelogram that has two pairs of parallel sides.

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