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triangle ABC is being dilated with center of dialation at the origin. The image of c, point C', has coordinates of (7.2, 3.6). What is the scale factor of the dilation and what are the coordinates of point A'?​

triangle ABC is being dilated with center of dialation at the origin The image of c point C has coordinates of 72 36 What is the scale factor of the dilation an class=

Respuesta :

carryde99

Answer:

4

Step-by-step explanation:

Coordinates of the image point A' will be (-3.6, 3.6).

Rules for the transformation:

  • If a point (h, k) is dilated by scale factor 'a' about the origin, coordinates of the image point point C' will be → (ah, ak)
  • If a point C(6, 3) is dilated by a scale factor 'a', coordinates of the image point C' will be → (6a, 3a)
  • From the graph attached, image point of C(6, 3) is C'(7.2, 3.6)

  By the rule of transformation → (6a, 3a) = (7.2, 3.6)

       6a = 7.2 ⇒ a = 1.2

   Coordinates of point A → (-3, 3)

   If the point A is dilated by a scale factor 1.2 about the origin,

   Coordinates of the image point A' will be → A'(-3×1.2, 3×1.2)

                                                                          → A'(-3.6, 3.6)

Find out more information about the transformation here,

https://brainly.com/question/488929?referrer=searchResults

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