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question determine a series of transformations that would map figure r …

Question

question determine a series of transformations that would map figure r onto figure s. figure s figure r

Explanation:

Step1: Reflect Figure R over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the transformation rule is \((x,y)\to(x, - y)\). This will flip the figure vertically.

Step2: Translate the reflected figure

Count the number of units to the right (horizontal translation). Let's assume after reflection, we need to move the figure a certain number of units (by comparing the positions of corresponding vertices). For example, if a vertex of the reflected figure is at \((x_1,y_1)\) and the corresponding vertex of Figure \(S\) is at \((x_2,y_2)\) where \(x_2=x_1 + k\) ( \(k>0\) for right - ward translation).

Answer:

Reflect Figure \(R\) over the \(x\) - axis and then translate it to the right (the number of units of translation can be determined by comparing specific vertex positions on the coordinate grid).