Question

dilate △abc with a scale factor of 2. 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 $(x',y')=(k\cdot x,k\cdot y)$. Here $k = 2$.

Step2: Find coordinates of $A'$

For point $A(-3,2)$, when $k = 2$, $x'=2\times(-3)=-6$ and $y'=2\times2 = 4$. So $A'=(-6,4)$.

Step3: Find coordinates of $B'$

For point $B(1,1)$, when $k = 2$, $x'=2\times1=2$ and $y'=2\times1 = 2$. So $B'=(2,2)$.

Step4: Find coordinates of $C'$

For point $C(-1,-1)$, when $k = 2$, $x'=2\times(-1)=-2$ and $y'=2\times(-1)=-2$. So $C'=(-2,-2)$.

Answer:

$A'=(-6,4)$
$B'=(2,2)$
$C'=(-2,-2)$