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Triangle ABC is shown on the coordinate grid. Triangle ABC will be dilated by a scale factor of n with the origin as the center of dilation to create triangle A’B’C’. Which order pair best represents the location of point C’

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Triangle ABC is shown on the coordinate grid. Triangle ABC will be dilated by a scale factor of n with the origin as the center of dilation to create triangle A’B’C’. Which order pair best represents the location of point C’

Triangle ABC is shown on the coordinate grid. Triangle ABC will be dilated by a scale factor of n with the origin as the center of dilation to create triangle A’B’C’. Which order pair best represents the location of point C’?

A. (5/n, -7/n)
B. (5 + n, 5 – 7)
C. (5n, -7n)
D. (5 – n, -7 – n)




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    1 Answer

    1. Quizzma Team

      To find the new location of point C’ after dilation, we apply the scale factor ( n ) to the coordinates of point C. If point C is originally at (5, -7), the coordinates of point C’ after dilation can be calculated using the formula:

      [

      C’ = (x cdot n, y cdot n) = (5n, -7n)

      ]

      Therefore, the best representation for the location of point C’ is:

      C. (5n, -7n)

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