Dilations Through the Origin

If the triangle ABC is dilated using a scale factor of k=2, what will be the coordinates of A' after the transformation?

(Click the picture to enlarge it)

• A'(1.5, -1.5)

• A' (-6, 6)

Which transformation or set of transformations will make point (x,y) onto point (2x, 2y)?

• A dilation of scale factor 3 through the origin with a translation.

• A dilation of scale factor 2 through the origin followed by a rotation.

• A dilation of scale factor 2 through the origin.

• A dilation of scale factor 3 thought the origin.

Find the coordinate of A' B' and C'

• A' (-3, 1.5)

  B' (1.5, 3)

  C' (3, -3)

• A' (-1, 1.5)

  B' (1.5, 3)

  C' (3, -1)

• A' (3, 1.5)

  B' (1.5, 3)

  C' (3, 3)

• A' (-1 2)

  B' (1, 2)

  C' (2, -3)

Triangle ABC will be dilated by a scale factor of 1/2.  What will be the coordinates of C'?

• (-1, -2.5)

• (12, 6)

• (3, -1.5)

• (0, 1.5)

Enlargement or reduction?  Find the scale factor!

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

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

• It's an enlargement; the scale factor is 1/2.

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

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

• an enlargement

• a rotation

• a translation

• a reduction

Enlargement or reduction?  Find the scale factor!

• It's an enlargement; the scale factor is 1/2.

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

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

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

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

Triangle ABC is dilated so that the coordinates of C' are (2, -1).  What was the scale factor of the dilation?

• 3

• 2

• 1/2

• 1/3