Question

if abcd is dilated by a scale factor = 2 about the origin, then what would the coordinate for a be?
a=(10, ?)

Explanation:

Step1: Identify original coordinates of A

From the graph, point A has coordinates \((5, 6)\) (assuming the y - coordinate of A is 6 by observing the graph).

Step2: Apply dilation about origin

When a point \((x,y)\) is dilated about the origin with a scale factor \(k\), the new coordinates \((x',y')\) are given by \(x'=k\times x\) and \(y' = k\times y\). Here, \(k = 2\), \(x = 5\) and \(y=6\).
For the x - coordinate of \(A'\): \(x'=2\times5 = 10\) (which matches the given x - coordinate of \(A'\)).
For the y - coordinate of \(A'\): \(y'=2\times6=12\)

Answer:

12