Which equation shows the relation between the vertices of a dilated figure and the vertices of the original figure when the original figure is dilated using a scale factor of 5? (1 point)

Question

(x_{2}, y_{2}) = (x_{1} + 5, y_{1} + 5)

y_{2} = x_{2} + 5, y_{1} = x_{1} + 5

(x_{2}, y_{2}) = (5x_{1}, 5y_{1})

y_{2} = 5x_{2} y_{1} = 5x_{1}

Answer 1

The correct equation that shows the relation between the vertices of a dilated figure and the vertices of the original figure when the original figure is dilated using a scale factor of 5 is:

\[ (x_{2}, y_{2}) = (5x_{1}, 5y_{1}) \]

This equation indicates that each coordinate of the original figure, represented by \((x_{1}, y_{1})\), is multiplied by the scale factor (5) to get the coordinates of the dilated figure, \((x_{2}, y_{2})\).