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
(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
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
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 indicates that each coordinate of the vertices of the original figure (denoted as \( (x_1, y_1) \)) is multiplied by the scale factor (5 in this case) to obtain the coordinates of the vertices of the dilated figure (denoted as \( (x_2, y_2) \)).
