Question

Find the measure of the acute or right angle formed by intersecting lines so that C can be mapped to C' using two reflections. The rotation (x, y)→(y, -x) maps C to C'.

Solution

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Answered 1 year ago
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The rotation (x,y)(y,x)(x,y) \rightarrow (y,-x) is a 270°\text{\textdegree} counterclockwise rotation, that is equivalent to 90°\text{\textdegree} clockwise rotation,

The reflection on intersecting lines theorem considers the acute or right angel of the intersecting lines.

So, We will consider that the rotation is 90°\text{\textdegree} clockwise.

The angle of intersection is 45°\text{\textdegree}

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