The rule t1, -4 ro, 180°(x, y) is applied to rectangle klmn. which rectangle shows the final image? ?

Figure 3.

Step-by-step explanation:

We perform the rotation first.  A 180° rotation about the origin maps every point

(x, y)→(-x, -y).  This means it negates both the x- and y-coordinates.

The pre-image points are:

K(3, -4); L(3, -1); M(5, -1); N(5, -4).  Performing the rotation and negating the coordinates will give us:

K'(-3, 4); L'(-3, 1); M'(-5, 1); N'(-5, 4).

Now we perform the translation.  The translation rule is <1, -4>; this means we add 1 to each x-coordinate and subtract 4 from each y-coordinate.  This maps to our new points:

K''(-2, 0); L''(-2, -3); M''(-4, -3); N''(-4, 0)

These are the points of figure 3.

4th option is correct xy=-10

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