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Parallelogram RSTU is constructed with line AB drawn through its center. If the parallelogram is dilated using a scale factor of 4 and a line is drawn through the center of the new dilated figure, what relationship will the new line have with line AB? Explain your reasoning using complete sentences.

Respuesta :

A line is a one-dimensional shape that is straight. The equation of the new line will be 4AB, and it will be parallel to the previous line.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

If a figure is dilated with a scale factor of k, then the measure of new side length =  k × (Original side).

Since line AB through the centre of parallelogram RSTU is drawn, then, after dilation with scale factor k= 4, the length of the new line through the centre = 4 x AB or 4AB.

Hence, The equation of the new line will be 4AB, and it will be parallel to the previous line.

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