Question

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

Answer 1

Answer:

( 2 , 4 ) ( 6 , 4 ) ( 6 , -2 ) ( 2 , -2 )

Step-by-step explanation:

A (1,2) B (3,2) C (1,-1) D (3,-1)

Multiply each cordinate by 2

A (2,4) B (6,4) C (2,-2) D (6,-2)

...thats how I did it. I'm a K12 user

Answer 2

Answer:  

Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)

In the dilation by the scale factor k with centered at origin,

$(x,y)\rightarrow (kx,ky)$

Thus, If the dilation occurs by the scale factor of 2 with centered at origin,

New coordinates of the Rectangle are,

$(1,2)\rightarrow (2\times 1, 2\times 2)$

$(3,2)\rightarrow (2\times 3, 2\times 2)$

$(1,-1)\rightarrow (2\times 1, 2\times -1)$

$(3,-1)\rightarrow (2\times 3, 2\times -1)$

Thus, the coordinates of new rectangle are,

(2,4), (6,4), (2,-2) and (6,-2)