Dilations and Algebraic Representations

Which of the following algebraic representations represents a dilation that is an enlargement?

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Triangle A(2,5), B(1,-1), and C(-3,1) is dilated using the algebraic representation of (3x,3y). What is the new value of C’?

• (9,3)

• (-9,3)

• (-9,-3)

• (-1, -1/3)

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Justina needs to dilate triangle ABC using a scale factor of 1.5. Plot the points for A', B', and C' on the coordinate plane.

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

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P'Q'R'S. The coordinates of each vertex are integers. Which statement is true?

• Quadrilateral P'Q'R'S' is congruent to quadrilateral PQRS.

• Quadrilateral P'Q'R'S' is similar to quadrilateral PQRS.

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 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'?

A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?