Question

quadrilateral math has vertices m = (1,3), a = (-4,6), t = (-2,7), and h = (5,9). quadrilateral math is the image after di 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 scaling about origin

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

Step2: Identify coordinates of A

The coordinates of \(A\) are \((-4, 6)\).

Step3: Apply scale factor 3

Multiply each coordinate by 3: \(x'\) = \(-4\times3 = -12\), \(y'\) = \(6\times3 = 18\). So \(A'\) is \((-12, 18)\).

Answer:

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