# WHICH RULE DESCRIBES THE COMPOSITION OF TRANSFORMATIONS THAT MAPS ΔBCD TO ΔB”C”D”?

## WHICH RULE DESCRIBES THE COMPOSITION OF TRANSFORMATIONS THAT MAPS ΔBCD TO ΔB”C”D”?

Which rule describes the composition of transformations that maps ΔBCD to ΔB”C”D”?

1. a reflection across the y-axis.
2. a reflection across the line y = x.

Step-by-step explanation:

In the image attached you can observe that the order of transformations is

The first transformation   is a reflection across the y-axis, notice that this axis works as a mirror, that indicates such reflection. Also, when this reflection is applied, all x-values in all cordinates change to the opposite, in this case, from positive to negative. For example, C(1,2) changed to C'(-1,2)

The second transformation    is a reflection across the line y = x, that is, across the origin of the coordinate system which is at (0,0). One way to notice this transformation is observing the coordinates, they change of place, for example B'(-1, 4) changed to B”(4, -1)

Therefore, the transformations are:

1. a reflection across the y-axis.
2. a reflection across the line y = x.

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