Dilation of Figures on Coordinate Plane (STAAR)

Triangle PQR is dilated with the origin as the center of dilation to create triangle P'Q'R'. Complete the rule to represent the dilation from triangle PQR to triangle P'Q'R'. Move the correct answer to each box. Not all answers will be used. (x, y) → (​ (a)   , ​ (b)   )

• 6x

• 2y

• 3x
• 3y
• 6y
• 2x

Pentagon NQRTW was dilated with the origin as the center to create pentagon N'Q'R'T'W'. Vertex R' is located at (6, 2). Which rule best describes the dilation?

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A rectangle is graphed on a coordinate plane. The table shows the original vertices and the new vertices after a scale factor with center of dilation at (0,0) is applied.

What rule is applied to the original rectangle to create the new rectangle?

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Triangle TRW is shown on the coordinate grid. Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

• F (-3/n, -5/n)

• G (-3n, -5n)

• H (-3 + n, -5 + n)

• J (-3 - n, -5 - n)

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L'M'N'P'Q'R'. The vertex Q' will be located at (21, 7). Which rule best represents the dilation?

• (x, y) → (x + 15, y + 5)

• (x, y) → (x - 15, y - 5)

The table describes two dilations with the center of dilation at the origin.

Which rule describes each dilation?

Not all answer will be used.

a

b

(x, y) -> (2x, 2y)

(x, y) -> (x + 1/2), (y + 1/2)

(x, y) -> (1/2x, 1/2y)

(x, y) -> (x + 2, y + 2)