# 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'?

- P'(16,20)
- P'(16,5)
- P'(4,20)
- 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.

- A'(6,12)
- A'(8,12)
- A'(6,9)
- 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?

- P'(-3,-6)
- P'(9,2)
- P'(-9,6)
- 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?

- M'(25,35)
- M'(-11,-1)
- M'(14,16)
- 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?

- A'(8,8)
- A'(-12,-12)
- A'(7,7)
- 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?

- 3
- 7
- 1
- 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?

- [math]-1/2[/math]
- [math]1/2[/math]
- [math]1/4[/math]
- [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?

- (5,10)
- (5,3)
- (10,3)
- (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?

- [math](-4,-5)[/math]
- [math](2,19)[/math]
- [math](-4,-23/5)[/math]
- [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?

- [math](0,0)[/math]
- [math](4,-17)[/math]
- [math](13,10)[/math]
- [math](77/9, -11/3)[/math]

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