Question

dilate △abc with a scale factor of 3. enter the new coordinates. a=(?,) b=(,) c=(,)

Explanation:

Step1: Recall dilation formula

To dilate a point $(x,y)$ with a scale factor $k$ about the origin, the new - point $(x',y')$ is given by $(x',y')=(k\times x,k\times y)$. Here $k = 3$.

Step2: Find coordinates of $A'$

For point $A(-1,4)$, $x=-1$ and $y = 4$. Then $x'=3\times(-1)=-3$ and $y'=3\times4 = 12$. So $A'=(-3,12)$.

Step3: Find coordinates of $B'$

For point $B(3,2)$, $x = 3$ and $y=2$. Then $x'=3\times3=9$ and $y'=3\times2 = 6$. So $B'=(9,6)$.

Step4: Find coordinates of $C'$

For point $C(-2,-2)$, $x=-2$ and $y=-2$. Then $x'=3\times(-2)=-6$ and $y'=3\times(-2)=-6$. So $C'=(-6,-6)$.

Answer:

$A'=(-3,12)$
$B'=(9,6)$
$C'=(-6,-6)$