Dilations Algebraic Representations

• 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.

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'?

Circle I was dilated with the origin as the center of dilation to create Circle II. Which rule best represents the dilation applied to Circle I to create Circle II?

Groups:

(a) True

,

(b) False

• A' will be located at (8, 4).

• A'B'C'D' will be smaller than ABCD.

• 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.

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

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?

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?

• If a is greater than 1, the image of the polygon is congruent to the polygon.

• If a is between 0 and 1, the image of the polygon is congruent to the polygon.

• If a is greater than 1, the image of the polygon is smaller than the polygon.

• If a is between 0 and 1, the image of the polygon is smaller than the polygon.