Question

give the coordinates of c under a dilation about the origin with scale factor of 3.
c(1,2)
show your work here

Explanation:

Step1: Recall dilation rule

For a dilation about the origin with scale factor \( k \), the coordinates \( (x,y) \) transform to \( (kx,ky) \). Here, \( k = 3 \) and original coordinates of \( C \) are \( (1,2) \).

Step2: Apply the rule

Multiply the \( x \)-coordinate: \( 3\times1 = 3 \).
Multiply the \( y \)-coordinate: \( 3\times2 = 6 \).

Answer:

\( (3, 6) \)