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Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is PPP and scale factor is \dfrac{1}{3} 3 1 ​ start fraction, 1, divided by, 3, end fraction.

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MrRoyal

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

How to dilate the triangle?

From the complete question, we have the following coordinates:

  • Point A = (-4,5)
  • Point B = (7,-7)
  • Point C = (-2,2)
  • Point P = (1,-4)
  • Scale factor, k = 1/3

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

Read more about dilation at:

https://brainly.com/question/16752437

Ver imagen MrRoyal

Answer:

hello

Step-by-step explanation:

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