Question

in 1 - 2, record the coordinates of the pre - image. then, multiply the values of each ordered pair by the scale factor to find the coordinates of the image and graph the dilation. 1. dilate abcd by a scale factor of 2. pre - image image algebraic rule: ____________

Explanation:

Step1: Identify pre - image coordinates

$A(-2,1)$, $B(1,1)$, $C(1, - 1)$, $D(-2,-1)$

Step2: Apply dilation rule

The algebraic rule for dilation by a scale factor $k = 2$ is $(x,y)\to(2x,2y)$.
For point $A(-2,1)$: $(2\times(-2),2\times1)=(-4,2)$
For point $B(1,1)$: $(2\times1,2\times1)=(2,2)$
For point $C(1,-1)$: $(2\times1,2\times(-1))=(2,-2)$
For point $D(-2,-1)$: $(2\times(-2),2\times(-1))=(-4,-2)$

Answer:

PRE - IMAGE	IMAGE
$B(1,1)$	$B'(2,2)$
$C(1,-1)$	$C'(2,-2)$
$D(-2,-1)$	$D'(-4,-2)$

Algebraic rule: $(x,y)\to(2x,2y)$