Question

1. figure qrst is dilated to form its image, figure qrst.
2. what is the scale factor of the dilation?
3. scale factor = 2
4. is point a the center of dilation?
5. yes 4) no

Explanation:

Step1: Recall the definition of center of dilation

The center of dilation is the fixed point from which all points are expanded or contracted. In a dilation, the lines connecting corresponding points of the original figure and its image pass through the center of dilation.

Step2: Check if lines \(RR'\), \(SS'\), \(TT'\), \(QQ'\) pass through point \(A\)

Looking at the figure, we can observe that the lines connecting the corresponding vertices (e.g., \(R\) to \(R'\), \(S\) to \(S'\), \(T\) to \(T'\), \(Q\) to \(Q'\)) all pass through point \(A\).

Answer:

yes