Dilating Coordinates

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

Find the dilated coordinate of P' with the given scale factor. P(–5, –6), Q(–1, 2), R(4, 4), S(1, –3), Scale factor = 2. Write your answer like this (x, y). There are spaces between the commas.

Find the dilated coordinate of A' with the given scale factor. A(2, 6), B(8, 4), C(6, 10), Scale Factor = 3/2, Write your answer like this (x, y). There are spaces between the commas.

• A' = (4/3, 4)

• A' = (3, 9)

• A' = (5/2, 9/2)

• A' = (-1/2, 3/2)

Find the dilated coordinates with the given scale factor. Q(–1, 1), R(–3, –1), S(1, –2), T(4, 2), Scale Factor = 8. Write your answers like this (x_1, y₁), (x₂, y₂), (x₂, y₃), (x₄, y₄) there are spaces between the commas.

Find the coordinates of the image with a scale factor = 1/2.

• (16, 16), (16, 64), (36, 16), (36, 36)

• (6, 6), (6, 10), 8, 6), (8, 8)

• (2, 2), (2, 4), (3, 2), (3, 3)

• ((2, 2), (2, 6), (4, 2), (4, 4)

The amount you enlarge or reduce a figure is...

• dilation

• scale factor

• transformation

• translation

Which rule shows the transformation?

• (x, y) ----> (0.5x, 0.5y)

• (x, y) ----> ( 2 + x, 2 + y)

• (x, y) -----> (2x, 2y)

• (x, y) -----> (3x, 3y)

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

• Translation 3 units up

• Translation 3 units down

• Dilation by a scale factor of 3

• Dilation by a scale factor of 1/3

What are the coordinates of the new point P' after dilating point P with a scale factor of K?

• Multiply the scale factor by the X-coordinate

• Multiply the scale factor by the Y-coordinate

• Multiply the scale factor by both the X and Y coordinates

• Divide the scale factor by both the X and Y coordinates

What is a dilation?

• A change in orientation

• A change in shape

• A stretch or shrink of an image

• A change in size