Respuesta :

Answer:

A rotation

Explanation:

A reflection across the y-axis would map trapezoid 1 to trapezoid 8.

A horizontal translation would also map trapezoid 1 to trapezoid 8.

However, a rotation would map trapezoid 1 to trapezoid 7; it would not map it to trapezoid 8.

Answer: The answer is (c) rotation.

Step-by-step explanation: We are given a figure where 8 trapezoid are drawn on the coordinate plane. We are to select from the given option the transformation that will not map trapezoid 1 to trapezoid 8.

We can easily check that by reflecting and translating that both these transformations will definitely map trapezoid 1 to trapezoid 8.

Only the rotation will not work here. If we rotate trapezoid 1 by 180° taking origin as the centre of rotation, the the image will be opposite of trapezoid 8. Therefore, rotation will not map trapezoid 1 to trapezoid 8.

Thus, (c) is the correct option.

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