Dilating Points (Grade 9)

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Dilating Points

1. 
If the point P(4,5) undergoes a dilation of factor 4 centered at the origin, what are the coordinates of the image, P'?
  1. P'(16,20)
  2. P'(16,5)
  3. P'(4,20)
  4. P'(8,9)
2. 
A dilation of factor 3/4 centered at the origin is performed on the point A(8,12). Choose the correct transformed point.
  1. A'(6,12)
  2. A'(8,12)
  3. A'(6,9)
  4. A'(14,21)
3. 
What are the coordinates of the dilated point P', if P(-3,2) undergoes a dilation of factor -3 centered at the origin?
  1. P'(-3,-6)
  2. P'(9,2)
  3. P'(-9,6)
  4. P'(9,-6)
4. 
M(5,7) is dilated, with a scale factor of 5 and a center of dilation of (9,9). Which of the following is the dilated point?
  1. M'(25,35)
  2. M'(-11,-1)
  3. M'(14,16)
  4. M'(29,19)
5. 
Point A(4,4) is dilated by a factor of -3 with a center of dilation of (5,5). Which of the following is the dilated point?
  1. A'(8,8)
  2. A'(-12,-12)
  3. A'(7,7)
  4. A'(2,2)
6. 
Point P(2,1) is dilated, with the center of dilation being the origin. If the dilated point is P'(6,3), what is the scale factor of the dilation?
  1. 3
  2. 7
  3. 1
  4. 4
7. 
Point [math]B(-4,2)[/math] undergoes a dilation centered at [math](4,8)[/math]. If the transformed point is [math]B'(2,13/2)[/math], what is the scale factor of the dilation?
  1. [math]-1/2[/math]
  2. [math]1/2[/math]
  3. [math]1/4[/math]
  4. [math]3/2[/math]
8. 
Point K(10,15) is dilated by a factor of [math]1/5[/math]. If the dilated point is K'(2,3), what is the center of dilation?
  1. (5,10)
  2. (5,3)
  3. (10,3)
  4. (0,0)
9. 
Point S(-3,-1) is dilated by a scale factor of 5. If the dilated point is S'(1,15), what is the center of dilation?
  1. [math](-4,-5)[/math]
  2. [math](2,19)[/math]
  3. [math](-4,-23/5)[/math]
  4. [math](8/3,10/3)[/math]
10. 
The point T(8,-5) is dilated by a factor of 4/5. If the dilated point is T'(9,-2), what is the center of dilation?
  1. [math](0,0)[/math]
  2. [math](4,-17)[/math]
  3. [math](13,10)[/math]
  4. [math](77/9, -11/3)[/math]

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