Question

quadrilateral math has vertices m = (1,3), a = (-4,6), t = (-2,7), and h = (5,9). quadrilateral math is the image after dilating math by a scale factor of 3 about the origin. what are the coordinates of a ?
a. (-4, 18)
b. (-12, 6)
c. (-12, 18)
d. (-64, 216)

Explanation:

Step1: Recall dilation about origin rule

When dilating a point \((x,y)\) about the origin with a scale factor \(k\), the new coordinates are \((kx,ky)\).

Step2: Apply dilation to point A

Given point \(A = (-4,6)\) and scale factor \(k = 3\). Multiply each coordinate by 3: \(x'=3\times(-4)= - 12\), \(y'=3\times6 = 18\).

Answer:

C. \((-12, 18)\)