Question

quadrilateral lmno is dilated with center at the origin by a scale factor of 2 to produce quadrilateral lmno. what is the rule for the dilation? (x, y) → (2x, y) (x, y) → (\\(\frac{1}{2}x,\frac{1}{2}y\\)) (x, y) → (2x, 2y) (x, y) → (\\(\frac{1}{2}x,y\\))

Explanation:

Step1: Recall dilation rule

When dilating a point $(x,y)$ with center at the origin and scale - factor $k$, the rule is $(x,y)\to(kx,ky)$.

Step2: Identify scale - factor

The problem states that the scale factor $k = 2$.

Step3: Determine dilation rule

Substituting $k = 2$ into the general dilation rule, we get $(x,y)\to(2x,2y)$.

Answer:

$(x,y)\to(2x,2y)$