Line Dilations

A line that passes through the points whose coordinates are (1,1) and (5,7) is dilated by a scale factor of 3 and centered at the origin. The image of the line

• is perpendicular to the original line

• is parallel to the original line

• passes through the origin

• is the original line

Tags

CCSS.8.G.A.3

After a dilation with center (0,0), the image of DB is D'B'. If DB = 4.5 and D'B' = 18, the scale factor of this dilation is

• 
  

  $\frac{1}{5}$

• 4

• $\frac{1}{4}$

• 5

Tags

CCSS.8.G.A.3

The line −3x + 4y = 8 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

• 
  

  $y\ =\ \frac{4}{3}x\ +\ 8$

• $y\ =\ \frac{3}{4}x\ +\ 8$

• $y\ =\ -\frac{3}{4}x\ -\ 8$

• $y\ =\ -\frac{4}{3}x\ -\ 8$

Which ratio is equal to the scale factor k of the dilation?

• 
  

  $\frac{EA}{EC}$

• $\frac{BA}{EA}$

• $\frac{EA}{BA}$

• $\frac{EC}{EA}$

Tags

CCSS.8.G.A.3

Line y = 3x − 1 is transformed by a dilation with a scale factor of 2 and centered at (3,8). The line's image is

• y= 3x - 8

• y= 3x - 4

• y= 3x - 2

• y= 3x - 1

Tags

CCSS.HSG.CO.A.2

Line MN is dilated by a scale factor of 2 centered at the point (0,6). If MN is represented by y = −3x + 6, which equation can represent M 'N ', the image of MN?

• y= -3x + 12

• y= -3x + 6

• y= -6x + 12

• y= -6x + 6

Tags

CCSS.8.G.A.3

Which transformation only preserves angle measure?

• Translation

• Rotation

• Reflection

• Dilation

Tags

CCSS.HSG.CO.A.2

What are the coordinates of B’ and C’ after BC undergoes a dilation centered at point A with a scale factor of 2?

• B' (5,2) and C' (1,-2)

• B' (6,1) and C' (0,-1)

• B' (5,0) and C' (1,-2)

• B' (5,2) and C' (3,0)

Tags

CCSS.8.G.A.3

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

• The line segments are perpendicular, and the image is one-half of the length of the given line segment.

• The line segments are perpendicular, and the image is twice the length of the given line segment.

• The line segments are parallel, and the image is one-half of the length of the given line segment.

• The line segments are parallel, and the image is twice the length of the given line segment.

Tags

CCSS.8.G.A.3

After a dilation centered at the origin, the image of CD is C' D'. If the coordinates of the endpoints of these segments are C(6,−4), D(2,−8), C' (9,−6), and D' (3,−12), the scale factor of the dilation is

• 
  

  $\frac{3}{2}$

• $\frac{2}{3}$

• 3

• $\frac{1}{4}$

Tags

CCSS.8.G.A.3