Notes

This printable supports Common Core Mathematics Standard HSG-SRT.A.1, HSG-SRT.A.1a

Browse Printables
Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

Click here to print this test!
Click here to save or print this test as a PDF!
See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

Dilating Lines (Grade 9)

Print Test (Only the test content will print)
Name: Date:

Dilating Lines

1. 
Line [math]\stackrel{\leftrightarrow}{AB}[/math] is dilated by a factor of [math]k[/math], where [math]k!=0,1[/math]. The center of dilation is [math](x_0,y_0)[/math], a point which does not lie on [math]\stackrel{\leftrightarrow}{AB}[/math]. Which of the following is true about [math]stackrel{leftrightarrow}{AB}[/math] and the dilated line [math]\stackrel{leftrightarrow}{A'B'} ?[/math]
  1. The lines are parallel, but not coincident.
  2. The lines are either parallel or coincident.
  3. The distance between the lines is k units.
  4. One of the lines must pass through the origin.
2. 
Line [math]\stackrel{leftrightarrow}{AB}[/math] undergoes a dilation by a factor of [math]k[/math], centered at [math](x_0, y_0)[/math]. Which of the following conditions ensure(s) that [math]\stackrel{leftrightarrow}{AB}[/math] and [math]\stackrel{leftrightarrow}{A'B'}[/math], the dilated line, are coincident? Choose all correct answers.
  1. [math]0 < |k| < 1[/math]
  2. [math]k=1[/math]
  3. [math](x_0, y_0) = (0,0)[/math]
  4. [math](x_0, y_0)[/math] lies on [math]stackrel{leftrightarrow}{AB}[/math]
3. 
Line [math]l[/math], with equation [math]y = 3x - 1[/math], is dilated by a factor of 3, with the center of dilation being the origin. Which of the following is the equation of the dilated line?
  1. [math]y = 9x - 3[/math]
  2. [math]y = 3x - 9[/math]
  3. [math]y = 3x - 3[/math]
  4. [math]y = x - 1/3[/math]
4. 
Line [math]t[/math], with equation [math]y = -8x+6[/math], is dilated by a factor of [math]1/2[/math] with the center of dilation being the origin. What is the equation of the dilated line?
  1. [math]y = -4x + 6[/math]
  2. [math]y = -4x + 3[/math]
  3. [math]y = -8x + 3[/math]
  4. [math]y = -16x + 12[/math]
5. 
Line [math]s[/math], with equation [math]y = -3x + 1/4[/math], is dilated by a factor of -4, the center of dilation being the origin. What is the equation of the dilated line?
  1. [math]y=3/4 x -1[/math]
  2. [math]y = -3x - 1[/math]
  3. [math]y = -3/4x + 1/4[/math]
  4. [math]y = 12x - 1[/math]
6. 
Line [math]l[/math], with equation [math]y=-3/2x + 5[/math], is dilated by a factor of [math]1/4[/math] with the center of dilation being [math](6,1)[/math]. What is the equation of the dilated line?
  1. [math]y = -3/2 x + 5/4[/math]
  2. [math]y = -3/2 x + 2[/math]
  3. [math]y = -3/2 x + 35/4[/math]
  4. [math]y = -3/2 x - 7/4[/math]
7. 
Line [math]m[/math], with equation [math]y = 1/2 x -3[/math], is dilated by a factor of 2 with the center of dilation being [math](-1,-1)[/math]. What is the equation of the dilated line?
  1. [math]y = 1/2 x -5[/math]
  2. [math]y = 1/2 x + 7/2[/math]
  3. [math]y = 1/2 x - 11/2[/math]
  4. [math]y = 1/2 x - 6[/math]
8. 
Line [math]l[/math], with equation [math]y = 1/5 x - 10[/math], is dilated by factor of [math]1/5[/math] with the center of dilation being [math](5,-9)[/math]. What is the equation of the dilated line?
  1. [math]y = 1/5x - 10[/math]
  2. [math]y = 1/5x - 2[/math]
  3. [math]y = 1/5x - 46/5[/math]
  4. [math]y = 1/5 x + 146/25[/math]
9. 
Line [math]s[/math] passes through the points [math]A(-3,1)[/math] and [math]B(4,4)[/math]. If line [math]s[/math] undergoes a dilation of factor 4, centered at [math](9,7)[/math], what is the equation of the dilated line?
  1. [math]y = 3/7x + 22/7[/math]
  2. [math]y = 3/7 x - 162/7[/math]
  3. [math]y = 1/3x + 8[/math]
  4. [math]y = 3/7x - 2/7[/math]
10. 
Line [math]l[/math], with equation [math]y = 7x-2[/math], is dilated. The center of dilation is [math](-3,4)[/math]. If the equation of the dilated line is [math]y=7x+23/2[/math], what is the scale factor?
  1. [math]-9/10[/math]
  2. [math]1/2[/math]
  3. [math]-23/4[/math]
  4. Not enough information given.

Become a Help Teaching Pro subscriber to access premium printables

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options

You need to be a HelpTeaching.com member to access free printables.
Join for FREE »
Already a member? Log in for access.    |    Go Back To Previous Page