For each exercise draw a grid and find the coordinates of...

For each exercise draw a grid and find the coordinates of the image point.
0 is the origin and $A$ is the point $(3,1) . R_{x}$ and $R_{y}$ are reflections in the $x$ - and $y$ -axes.
$$
R_{1} \circ D_{0}, 2 :(2,4) \rightarrow(\underline{?}, \underline{?})
$$

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Key Concepts

Reflection Transformation

A reflection is a transformation that flips a point or shape over a specified line, creating a mirror image. For example, a reflection in the x-axis changes a point (x, y) to (x, -y), a reflection in the y-axis changes (x, y) to (-x, y), and a reflection in the line y=x swaps the coordinates to become (y, x).

Composite Transformations

Composite transformations involve applying more than one transformation in succession. The order in which transformations are applied is important and each transformation is performed on the output of the previous one. This concept is useful in determining the final position of a point after a series of operations, such as dilating and then reflecting it.

Dilation Transformation

A dilation is a transformation that resizes figures by a scale factor relative to a fixed point, often the origin. Every coordinate (x, y) of a point is multiplied by the scale factor, so a point (x, y) becomes (kx, ky) for a dilation centered at the origin with factor k.

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