Lesson 13.2 Algebraic Representations of Dilations

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?

Groups:

(a) True

,

(b) False

• A'B'C'D' will be smaller than ABCD.

• A' will be located at (8, 4).

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

Which of the following is NOT a true statement about the dilation shown on the graph?

• The dilation represents an enlargement.

• The dilation changed the congruence and the orientation of the figure.

Match each dilation to the appropriate algebraic representation.

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A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

• A rotation of 270° counterclockwise

• A reflection across the y-axis

• A dilation by a scale factor of 1.5

• A translation of 50 units down

Which representation of a transformation on a coordinate grid does not preserve congruence?

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.

• Each angle measure of quadrilateral L'M'P'Q' will be 3.75 times the corresponding angle measure of quadrilateral LMPQ.

• Each angle measure of quadrilateral L'M'P'Q' will be 3.75 more than the corresponding angle measure of quadrilateral LMPQ.

• Each side length of quadrilateral L'M'P'Q' will be 3.75 times the corresponding side length of quadrilateral LMPQ.

• Each side length of quadrilateral L'M'P'Q' will be 3.75 more than the corresponding side length of quadrilateral LMPQ.

Figure I and Figure II are similar quadrilaterals. Which proportion must be true?