Answer:
- a reflection across the y-axis.
- a reflection across the line y = x.
Step-by-step explanation:
In the image attached you can oberve that the order of tranformations is
[tex]\triangle BCD \implies \triangle B'C'D' \implies \triangle B''C''D''[/tex]
The first transformation [tex]\triangle BCD \implies \triangle B'C'D'[/tex] 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 [tex]\triangle B'C'D' \implies \triangle B''C''D''[/tex] 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:
- a reflection across the y-axis.
- a reflection across the line y = x.
