Polygons and Dilations

Rectangle ABCD is dilated so that A' is located at (3, 6).  What could be the dilation rule?

• (2x, 3y)

• (2/3 x, 2/3 y)

• (3/2 x, 3/2 y)

• (x + 2, y + 3)

Rectangle ABCD is dilated so that the coordinates of C' are (2, -1).  What could be the dilation rule?

• (-2x, +1y)

• (1/2 x, 1/2 y)

• (2x, 2y)

• (x - 2, y - 1)

Quadrilateral RSTV is dilated so that the coordinates of S' are (3, 9).  What was the scale factor of the dilation?

• 0.6

• (1, 3)

• 3/2

• 3

The algebraic expression for an enlargement by a scale factor of 3 is...

• (x, y)→(3x, 3y)

• (x, y)→(3, 3)

• (3x, y)→(x, y)

• (x, y)→(3x)

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y).  What will be the coordinates of C'?

• (12, -3)

• (12, -6)

• (3, -1.5)

• (8, -5)

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 3.

• It's a reduction; the scale factor is 1/3.

• It's a reduction; the scale factor is 1/2.

• It's an enlargement; the scale factor is 2. 

Which could be the rule used to dilate ABC to A'B'C'?

• (5x, 5y)

• (3x, 3y)

• (1/3 x, 1/3 y)

• (2x, 2y)

Figure S is dilated to create Figure T.  Which could be the scale factor of the dilation?

• (x, y)→(2x, 2y)

• (x, y)→(1/2 x, 1/2 y)

• (x, y)→(3x, 3y)

• (x, y)→(4x, 6y)

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 2.

• It's a reduction; the scale factor is 2/3.

• It's an enlargement; the scale factor is 3/2.

• It's a reduction; the scale factor is 3.

If the scale factor is greater than 1, the dilation is...

• an enlargement

• a rotation

• a translation

• a reduction