RSTU is a rectangle with vertices at R(-3,1), S(1 ,1), T(-3,3) and U (1, 3). Describe two lines of reflection that would carry the rectangle onto itself. (enter as x = and y =)

The two lines of reflection are and

Step-by-step explanation:

I will attach a file with the graph of the rectangle and the lines of reflection.

We know that RSTU is a rectangle with vertices at , ,

and

The first step is to draw the vertices on the plane and them the rectangle.

The rectangle is a symmetrical figure. Therefore if we want to carry the rectangle onto itself using a line of reflection this line must goes through the centroid of the rectangle.

Given that we have a rectangle whose width is and its length is its centroid will be place at .

Looking at the graph and using this information we find that the two lines of reflection are and .

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step-by-step explanation:

by definition, an arc subtended by a central angle of some given measure has the same measure. so .