Responses
(x2,y2)=(5x1,5y1)
(
x
2
,
y
2
)
=
(
5
x
1
,
5
y
1
)
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=x2+5,y1=x1+5
y
2
=
x
2
+
5
,
y
1
=
x
1
+
5
y subscript 2 baseline equals x subscript 2 baseline plus 5 comma y subscript 1 baseline equals x subscript 1 baseline plus 5
y2=5x2,y1=5x1
y
2
=
5
x
2
,
y
1
=
5
x
1
y subscript 2 baseline equals 5 x subscript 2 baseline comma y subscript 1 baseline equals 5 x subscript 1 baseline
(x2,y2)=(x1+5,y1+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 equation indicates that each vertex of the dilated figure \((x_2, y_2)\) is obtained by multiplying the corresponding vertex of the original figure \((x_1, y_1)\) by the scale factor of 5.
