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Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The coordinates of the vertices of triangle RST are given. You can use the scale factor to find the coordinates of the dilated image. Enter the coordinates of the vertices of triangle R'S'T' below. (Decimal values may be used.)

Triangle RST was dilated with the origin as the center of dilation to create triangle-example-1

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Final answer:

To calculate the coordinates of the vertices of the dilated triangle R'S'T', multiply the coordinates of each vertex of the original triangle RST by the scale factor of 34.

Step-by-step explanation:

To find the coordinates of the vertices of the dilated triangle R'S'T', multiply the coordinates of the original triangle RST by the scale factor of 34. The process involves a straightforward multiplication of each vertex's x-coordinate and y-coordinate by the scale factor.

For each vertex R, S, and T of triangle RST with coordinates (Rx, Ry), (Sx, Sy), and (Tx, Ty) respectively, the coordinates of the corresponding vertices R', S', and T' of triangle R'S'T' are calculated as follows:

  • R' = (34 * Rx, 34 * Ry)
  • S' = (34 * Sx, 34 * Sy)
  • T' = (34 * Tx, 34 * Ty)

Once the coordinates are calculated, you will have the vertices of the dilated image R'S'T'.

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