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)

Question

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)

Quizzma Team · Answer

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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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’

1 Answer