Algebraic Representations of Dilations

Justina needs to dilate triangle ABC using a scale factor of 1.5. Which of the following algebraic rules represents this transformation?

Groups:

(a) True

,

(b) False

• A' will be located at (8, 4).

• The length of segment A'B' will be 5.8 units.

• A'B'C'D' will be smaller than ABCD.

Match each dilation to the appropriate algebraic representation.

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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'?

Triangle A’B’C’ is the dilation of triangle ABC.
Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (3x, 3y)

• (x, y) --> (x + 3, y - 3)

What is the algebraic representation for this dilation?

• ( x , y ) --> ( 2 x , 2 y )

• ( x , y ) --> ( x -2 , y -2 )

• ( x , y ) --> ( x +2 , y + 2 )

• ( x , y ) --> ( 1/2 x , 1/2 y )

Which algebraic representation shows this dilation?

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 1/2, y)

• (x, y) --> (1/2x, y)

Triangle A’B’C’ is the dilation of triangle ABC. Which algebraic representation shows this dilation?

• (x, y) --> (1/2x, 1/2y)

• (x, y) --> (2x, 2y)

• (x, y) --> (x + 1/2, y)

• (x, y) --> (1/2x, y)

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'?

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?