Question

how was figure a transformed to become figure a? 1. ? 2. reflect dilate

Explanation:

Step1: Analyze the transformation

To determine how Figure A was transformed to Figure A'', we need to check the properties of reflection and dilation.
Reflection changes the orientation of a figure over a line. Dilation changes the size of a figure.
Looking at the coordinates of Figure A and Figure A'':

• The size of the figure has not changed. So dilation (which changes size) is not the transformation.
• If we consider the \(y -\)axis as the line of reflection.

Let's take a point from Figure A, say \((1,1)\). After reflection over the \(y -\)axis, the \(x -\)coordinate changes its sign. The image of \((1,1)\) is \((- 1,1)\). Similarly, for the point \((1,4)\) in Figure A, its image after reflection over the \(y -\)axis is \((-1,4)\) and for the point \((2,1)\) in Figure A, its image after reflection over the \(y -\)axis is \((-2,1)\) which matches the points of Figure A''.

Answer:

1. Reflect
2. Over the \(y -\)axis