Question

if abcd is dilated by a scale factor = 4 about the origin, then what would the coordinate for a be? a = ( ? , )

Explanation:

Step1: Find Coordinate of A

From the graph, point A is at (6, 1) (assuming the x - coordinate is 6 and y - coordinate is 1 by looking at the grid).

Step2: Apply Dilation Formula

The rule for dilation about the origin with a scale factor \(k\) is \((x,y)\to(kx,ky)\). Here, \(k = 4\), \(x = 6\), and \(y = 1\).
So, for point A \((6,1)\), the new coordinate \(A'\) is \((4\times6,4\times1)=(24,4)\).

Answer:

(24, 4)