Question

dilate △abc with a scale factor of 5. 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 $(x',y')=(k\times x,k\times y)$.

Step2: Find new coordinates of A

For point A$(-3,-1)$ and $k = 5$, $x'=5\times(-3)=-15$ and $y'=5\times(-1)=-5$. So $A'=(-15,-5)$.

Step3: Find new coordinates of B

For point B$(2,-2)$ and $k = 5$, $x'=5\times2 = 10$ and $y'=5\times(-2)=-10$. So $B'=(10,-10)$.

Step4: Find new coordinates of C

For point C$(-1,-4)$ and $k = 5$, $x'=5\times(-1)=-5$ and $y'=5\times(-4)=-20$. So $C'=(-5,-20)$.

Answer:

$A'=(-15,-5)$
$B'=(10,-10)$
$C'=(-5,-20)$