Graph the image of this triangle after a dilation with a scale factor of 3 centered at the origin
Use the polygon tool to graph the triangle.
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Graph the image of this triangle after a dilation with a scale factor of 3 centered at the origin Use the polygon tool to graph the triangle. Polygon # Move Und class=

Answer :

raphealnwobi

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.

If a point A(x, y) is dilated by a scale factor of k at the origin, the new location is A'(kx, ky).

The triangle has vertices at (0,0), (3,-1) and (3, 3). If it is dilated by a scale factor of 3 centered at the origin, the new location of the vertices is:

(0,0), (9, -3), (9, 9)

${teks-lihat-gambar} raphealnwobi
Lanuel

After a dilation of the triangle with a scale factor of 3 centered at the origin, its graph is shown in the image attached below.

What is a transformation?

In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a new location. Thus, when an object is transformed, all of its points would be transformed as well.

Generally, there are different types of transformation and these include the following:

  • Reflection
  • Rotation
  • Translation
  • Dilation

.

As a general rule, when a point P(x, y) is dilated by using a scale factor of "k" at the origin, the new location would be P'(kx, ky).

Since this triangle has vertices at (0, 0), (3, -1) and (3, 3), dilating it by a scale factor of 3 centered at the origin, would move the vertices to a new location:

New location = 3 × [(0, 0), (3, -1) and (3, 3)]

New location = (0, 0), (9, -3), and (9, 9).

In conclusion, after a dilation of the triangle with a scale factor of 3 centered at the origin, its graph is shown in the image attached below with vertices at point (0, 0), (9, -3), and (9, 9).

Read more on transformation here: https://brainly.com/question/1548871

${teks-lihat-gambar} Lanuel

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