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

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eudora eudora · Answer 1 · 2020-06-14T10:10:15+02:00

Answer:

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 = [tex]\frac{1}{2}[/tex]

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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codiepienagoya codiepienagoya · Answer 2 · 2021-12-25T16:18:11+01:00

Following are calculation to the given points:

Given:

[tex]\Delta ABC[/tex] under a dilation whose center is P

scale factor [tex]= \frac{1}{2}[/tex]

To find:

points=?

Solution:

In the given question we assume that the origin at the point [tex]P(0, 0)[/tex].

therefore the coordinates of [tex]A, B, \ and \ C[/tex] would then be [tex](8, 4), (-2, 2), \ and\ (4, -4)[/tex] respectively.

Scale factor dilatation rule[tex]= k[/tex]

[tex](x, y) \to (kx, ky)[/tex]

If [tex]k = \frac{1}{2}[/tex]

Then,

[tex]A(8, 4) \to A'(4, 2)\\\\B(-2, 2) \to B'(-1, 1)\\\\C(4, -4) \to C'(2, -2)\\\\[/tex]

We can now draw a new picture with the points [tex]A', B', \ and\ C'[/tex], please find the attached file.

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brainly.com/question/16967942