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: Find pre - image coordinates

Pre - image coordinates: $A(-3,1)$, $B(1,1)$, $C(1, - 1)$, $D(-3,-1)$

Step2: Apply dilation rule

The dilation rule for a scale factor $k = 2$ is $(x,y)\to(2x,2y)$.
For point $A(-3,1)$: $(2\times(-3),2\times1)=(-6,2)$
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 $D(-3,-1)$: $(2\times(-3),2\times(-1))=(-6,-2)$

Answer:

PRE - IMAGE	IMAGE
$B(1,1)$	$B'(2,2)$
$C(1,-1)$	$C'(2,-2)$
$D(-3,-1)$	$D'(-6,-2)$

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