Dilations on the Coordinate Plane Review

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What is a dilation on the coordinate plane?

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A dilation is a transformation that alters the size of a figure on the coordinate plane while maintaining its shape. It is defined by a scale factor, k, which determines how much the figure is enlarged or reduced.

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What happens to a figure when k < 1 in a dilation?

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When k < 1, the figure undergoes a reduction, meaning it becomes smaller.

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What is the effect of a scale factor of 2 in a dilation?

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A scale factor of 2 means that the figure is enlarged to twice its original size.

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How can you represent a dilation that reduces a figure by 10%?

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What is the difference between a dilation and a translation?

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A dilation changes the size of a figure while a translation moves the figure to a different location without changing its size or shape.

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The area of the triangle is multiplied by a factor of 4, since area scales by the square of the scale factor (2^2 = 4).

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How do you determine if a dilation is an enlargement or a reduction?

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To determine if a dilation is an enlargement or a reduction, compare the scale factor k: if k > 1, it is an enlargement; if 0 < k < 1, it is a reduction.