Rigid Motion Transformations with Dilation

A dilation is which of the following: 

• only an enlargement

• only a reduction

• either an enlargement or a reduction

• neither an enlargement nor a reduction

How do you write the algebraic notation when the scale factor is 3?

• (x, y) goes to (1/3x, 1/3y)

• (x, y) goes to (-3x, -3y)

• (x, y) goes to (x + 3, y + 3)

• (x, y) goes to (3x, 3y)

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

• Reduction

• Enlargement

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

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)

Look at like segments C'D' and CD. Which rule was used to produce the image?

• f(x, y) = (1/7x, 1/7y)

• f(x, y) = (7x, 7y)

• f(x, y) = (4x, 4y)

• f(x, y) = (8x, 8y)

Tags

TEKS.MATH.8.10C

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

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

• ½

• ¼

• 4

• 2

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes