Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Following are calculation to the given points:

Given:

under a dilation whose center is P

scale factor

To find:

points=?

Solution:

In the given question we assume that the origin at the point .

therefore the coordinates of would then be respectively.

Scale factor dilatation rule

If

Then,

We can now draw a new picture with the points , please find the attached file.

Learn more:

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Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k =

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) → B'(-1, 1)

         C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

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step-by-step explanation:

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