Dilation Coordinate Plane

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

a

b

Tags

TEKS 8.3C

• U' (-3, -1), V' (-4, -2), W' (-5, 0), X' (-2, 3)
• U' (-1, -3), V' (-2, -4), W' (0, -5), X' (3, -2)
• U' (-0.25, 0.75), V' (-0.5, 1), W' (0, 1.25), X' (-0.75, 0.5)
• U' (-0.5, 1.5), V' (-1, 2), W' (0, 2.5), X' (1.5, 1)

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used. A triangle is dilated by a scale factor of 1/2. ​ (a)   ​ A square is dilated by a scale factor of 2. ​ ​ ​ ​ (b)  

• (x, y) → (x + 2, y + 2)

• (x, y) → (−x, −y)

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True

• False

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Determine the Scale Factor of the dilation from ABCD to A'B'C'D'.

• SF = 3

• SF = 2

Which of the following rules describes the transformation from ΔABC to ΔA'B'C'?

In the diagram below, △ABC was dilated to create △A’B’C’. What is the scale factor for this dilation? Scale factor = ______

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)

• (x, y) → (3x, 3y)

• (x, y) → (x, y - 3)

• (x, y) → (.5x, .4y)

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2