Question

dilate △abc with a scale factor of 9. enter the new coordinates. a=(?,) b=(,) c=(,)

Explanation:

Step1: Recall dilation formula

To dilate a point $(x,y)$ by a scale factor $k$, the new - point $(x',y')$ is given by $(x',y')=(k\times x,k\times y)$. Here $k = 9$.

Step2: Find coordinates of $A'$

For point $A(3,3)$, $x = 3$ and $y = 3$. Then $x'=9\times3 = 27$ and $y'=9\times3 = 27$. So $A'=(27,27)$.

Step3: Find coordinates of $B'$

For point $B(1, - 2)$, $x = 1$ and $y=-2$. Then $x'=9\times1 = 9$ and $y'=9\times(-2)=-18$. So $B'=(9,-18)$.

Step4: Find coordinates of $C'$

For point $C(-1,1)$, $x=-1$ and $y = 1$. Then $x'=9\times(-1)=-9$ and $y'=9\times1 = 9$. So $C'=(-9,9)$.

Answer:

$A'=(27,27)$
$B'=(9,-18)$
$C'=(-9,9)$