# 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, ,