Dilations

Triangle CDE is dilated about the origin by a scale factor of 2. What is the location of D'?

• (-2, 4)

• (-2, 2)

• (-1, 1)

• (4, -2)

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)

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)

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

• (9,9) (18,18) (27,9)

• (6,6) (9,9) (12,6)

• (0,0) (3,3) (6,0)

• (1,1) (2,2) (3,1)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

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.

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.

Does the image show a Dilation and what is the scale factor?

• Yes; k = 2

• Yes; k = 1/2

• No, it's a translation.

• No, it's a reflection.

Which best describes an enlargement?

• stretches the original image

• shrinks the original image

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor r = 2.

• (2,4.5)

• (-8,-18)

• (8,18)

• (9,4)