Question

16 rectangle abcd is dilated using the origin as the center of dilation to create rectangle abcd. what rule best represents the dilation applied to rectangle abcd to create rectangle abcd? a (x, y)→(4x, 6y) b (x, y)→(3x, 4y) c (x, y)→(3x, 3y) d (x, y)→(4x, 3y)

Explanation:

Step1: Find coordinates of a point

Let's take point A of rectangle ABCD. Assume its coordinates are (3, 5).

Step2: Find coordinates of corresponding point

The corresponding point A' of rectangle A'B'C'D' has coordinates (9, 15).

Step3: Check dilation rule

If we apply the rule \((x,y)\to(3x,3y)\) to point A(3, 5), we get \((3\times3,3\times5)=(9,15)\).

Answer:

C. \((x,y)\to(3x,3y)\)