Dilations of Polygons

Is this an enlargement or a reduction?

• Enlargement

• Reduction

Triangle E’F’G’ is a dilation of triangle EFG. Which rule best represents the dilation shown?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (x, y) --> (x + 2, y - 2)

• (x, y) --> (2x, 0.5y)

Quadrilateral WXYZ was dilated with the origin as the center to create quadrilateral W’X’Y’Z’. Which rule best represents the dilation that was applied to quadrilateral WXYZ to create quadrilateral W’X’Y’Z’?

• (x, y) --> (0.4x, 0.4y)

• (x, y) --> (x + 3, y + 2)

• (x, y) --> (2.5x, 2.5y)

• (x, y) --> (x - 3, y - 2)

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.
Which algebraic representation shows this dilation?

• (x, y) --> (2x, 2y)

• (x, y) --> (0.5x, 0.5y)

• (2x, 2y) --> (x, y)

• (x, y) --> (3x, 2y)

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

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

• a

• b

• c

• d

The vertex Q' will be located at (21, 7). Fill in the information missing from the rule below that would be for this dilation.

The vertex Q' will be located at (21, 7). Fill in the information missing from the rule below that would be for this dilation.

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

• (x,y) → (0.5 − x,0.5 − y) 

• (x,y) → (x−7,y−7) 

• (x, y) → (0.9x, 0.9y)

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

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