Question

how was figure a transformed to become figure a\? 1. ? 2. rotate translate

Explanation:

Step1: Analyze rotation

Rotation changes the orientation of a figure. Looking at Figure A and Figure A", the orientation (like the direction of the sides) has not changed in a rotational sense.

Step2: Analyze translation

Translation is moving a figure without rotating or resizing it. If we consider the coordinates of the vertices of Figure A and Figure A":
Let's assume a vertex of Figure A is \((x_1,y_1)\) and the corresponding vertex of Figure A" is \((x_2,y_2)\). We can observe that each point of Figure A is moved a certain number of units horizontally and vertically. For example, if we take the lowest - left vertex of Figure A at \((1,1)\) and the corresponding vertex of Figure A" (say the left - most vertex of the base of A") at \((5,3)\). The \(x\) - coordinate changes from \(1\) to \(5\) (a change of \(+ 4\)) and the \(y\) - coordinate changes from \(1\) to \(3\) (a change of \(+2\)). This is a translation (a slide) operation.

Answer:

1. Translate