Question

ABC has coordinates of A (-8,-8), B (4,-2), and C (2,2). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 1.5
A. A(–5.33, –5.33), B(2.67, –1.33), C(1.33, 1.33)

B. A(–12, –12), B(6, –3), C(3, 3)

C. A(–12, –8), B(6, –2),C(3, 2)

D. A(–8, –8), B(4, –2), C(2, 2)

Answer 1

The coordinates of the image after dilation are

A (-12 , -12) , B (6 , -3) , C (3 , 3) ⇒ answer B

Step-by-step explanation:

A dilation is a transformation that produces an image that is the

same shape as the original, but in a different size

When you dilate a figure, with

• The center of dilation is the origin
• The scale factor of dilation is k

Then the coordinates of each point of the figure is multiplied by k

to find the image of the figure after dilation

∵ ABC has coordinates of A (-8 , -8), B (4 , -2), and C (2 , 2)

∵ ABC is dilated by scale factor 1.5

∵ The center of dilation is the origin

- Multiply the coordinates of points A, B, and C by 1.5

∴ The image of point A = (-8 × 1.5 , -8 × 1.5) = (-12 , -12)

∴ The image of point B = (4 × 1.5 , -2 × 1.5) = (-6 , -3)

∴ The image of point C = (2 × 1.5 , 2 × 1.5) = (3 , 3)

The coordinates of the image after dilation are

A (-12 , -12) , B (6 , -3) , C (3 , 3)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

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