Dilation on a Coordinate Grid

Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow. Which rule best represents the dilation that was applied to Figure S to create Figure T?

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Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

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A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x,y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

• (20x, 20y)

• (0.4x, 0.4y)

• (x + 20, y + 20)

• (x + 0.4, y + 0.4)

Triangle MNP is graphed on a coordinate grid with vertices at M(-3, -6), N(0, 3) and P(6, -3). Triangle MNP is dilated by a scale factor of u with the origin as the center of dilation to created triangle M'N'P'. Which ordered pair represents the coordinates of vertex P'?

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Quadrilateral FGHJ was dilated with the origin as the center of dilation to create quadrilateral F'G'H'J'. Which rule best represents the dilation that was applied to quadrilateral FGHJ to create F'G'H'J'?

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What type of dilation is shown?

• enlargement

• reduction

What is the algebraic representation/rule for the dilation shown?

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. What is the new perimeter?

• 80 units

• 40 units

• 5 units

• 8 units

What operation do we use with scale factor and dilations?

• addition

• subtraction

• multiplication

• division

What is the scale factor for the given dilation?

• 2

• 5

• 1