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) Responses (x2,y2)=(5x1,5y1) left parenthesis x subscript 2 baseline comma y subscript 2 baseline right parenthesis equals left parenthesis 5 x subscript 1 baseline comma 5 y subscript 1 baseline right parenthesis y2=5x2,y1=5x1 y subscript 2 baseline equals 5 x subscript 2 baseline comma y subscript 1 baseline equals 5 x subscript 1 baseline y2=x2+5,y1=x1+5 y subscript 2 baseline equals x subscript 2 baseline plus 5 comma y subscript 1 baseline equals x subscript 1 baseline plus 5 (x2,y2)=(x1+5,y1+5) left parenthesis x subscript 2 baseline comma y subscript 2 baseline right parenthesis equals left parenthesis x subscript 1 baseline plus 5 comma y subscript 1 baseline plus 5 right parenthesis
1 answer
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 means that each vertex of the original figure \((x_1, y_1)\) is multiplied by the scale factor (5 in this case) to obtain the corresponding vertex of the dilated figure \((x_2, y_2)\).
