# Lesson Worksheet: Dilation: Negative Scale Factors Mathematics

In this worksheet, we will practice dilating shapes about a center of dilation by negative scale factors, fractional numbers, and whole numbers, and we will practice describing dilations.

**Q1: **

If triangle is the image of triangle after a dilation from the origin, find the scale factor of this dilation.

**Q2: **

Which shape in the following figure is the image of shape after a dilation with a negative scale factor from the origin?

- A
- B
- C
- D
- E

**Q3: **

Find the vertices of the image of kite after a dilation with scale factor from the origin.

- A, , ,
- B, , ,
- C, , ,
- D, , ,
- E, , ,

**Q4: **

If shape is the image of shape after a dilation from the origin, find the scale factor of this dilation.

- A2
- B
- C
- D
- E

**Q5: **

Find the vertices of the image of triangle after a dilation with scale factor from the origin.

- A, , and
- B, , and
- C, , and
- D, , and
- E, , and

**Q6: **

The vertices of a quadrilateral are , , , and and the vertices of its image after a dilation with scale factor from the origin are , , , and .

Find the scale factor .

- A
- B
- C
- D
- E

Find the coordinates of point .

- A
- B
- C
- D
- E

Find the coordinates of point .

- A
- B
- C
- D
- E

**Q7: **

The vertices of a triangle are , , and and the vertices of its image after a dilation with scale factor from the origin are , , and .

Find the scale factor .

- A
- B
- C
- D
- E

Find the coordinates of point .

- A
- B
- C
- D
- E

Find the coordinates of point .

- A
- B
- C
- D
- E

**Q8: **

Find the vertices of the image of triangle after a dilation with scale factor from the origin.

- A, ,
- B, ,
- C, ,
- D, ,
- E, ,

**Q9: **

Find the vertices of the image of triangle after a dilation with scale factor centered at the origin.

- A, ,
- B, ,
- C, ,
- D, ,
- E, ,