Dilations Not Centered at Origin

If the triangle on the left is mapped onto the triangle on the right, what is the scale factor?

• 1

• 3

• 1/3

• 8

If triangle ABC is dilated by a scale factor of 1/2 centered at (2, -1), give the coordinates of C'.

• (4, -2)

• (12, -6)

• (3, -1.5)

• (10, -5)

Give the coordinates for triangle A'B'C', the image of triangle ABC after a dilation of 2 centered at (-5, -1):

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Given the graph on the left, answer the following questions:

A) Does the graph show a dilation?

B) If so, give the center of dilation and k.

If not, explain why not.

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Given the graph on the left, answer the following questions:

A) Does the graph show a dilation?

B) If so, give the center of dilation and k.

If not, explain why not.

Evaluate responses using AI:

OFF

What is the scale factor of this dilation?

Square A is a Dilation of Square B. What is the scale factor of the squares?

• 1/7

• 4/5

• 5/4

• 7

Quad OBCD is similar to Quad OHTE because:

• Quad OBCD can be reflected over the x axis and then rotated 90 degrees

• Quad OBCD can be reflected over the x-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 2.

• Quad OBCD can be reflected over the y-axis and then dilated about point O by a scale factor of 1/2.

The segment AB is dilated to create the segment A'B'. What are the coordinates of the center of the dilation?

• ( 5, 7 )

• ( 8, 1 )

• ( 0, 4 )

• ( -1, 4 )

If you were to dilate line AB using point C as the center of dilation, which of the below would best describe the newly created image? (You may assume that the scale factor is not 1.)

• A line segment

• A ray

• A line that is parallel to line AB

• A line that is in the same place as line AB