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ELEN [110]
1 year ago
13

HELP HURRY pls

Mathematics
1 answer:
Bess [88]1 year ago
7 0

Please see the explanation of this question to see procedure for the dilation of the triangle ABC and the image attached below to know the result.

<h3>How to generated a resulting triangle by transformation rules</h3>

In this question we must apply a kind of <em>rigid</em> transformation known as dilation. A dilation of a point around a point of reference is defined by the following operation:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]     (1)

Where:

  • O(x, y) - Point of reference
  • k - Dilation factor
  • P(x, y) - Original point
  • P'(x, y) - Resulting point

Let assume that the point P is the origin of a <em>rectangular</em> system of coordinates. Then, the coordinates of the three vertices of the triangle ABC respect to the origin are: A(x, y) = (- 1, 2), B(x, y) = (- 1, - 1), C(x, y) = (2, 0).

Then, the vertices of the resulting triangle A'B'C' are, respectively:

A'(x, y) = (0, 0) + 3 · [(- 1, 2) - (0, 0)]

A'(x, y) = (- 3, 6)

B'(x, y) = (0, 0) + 3 · [(- 1, - 1) - (0, 0)]

B'(x, y) = (- 3, - 3)

C'(x, y) = (0, 0) + 3 · [(2, 0) - (0, 0)]

C'(x, y) = (6, 0)

Finally, we draw the resulting triangle with the help of a graphing tool.

To learn more on dilations: brainly.com/question/13176891

#SPJ1

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