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Which sequence of transformations maps figure one onto figure 2Figure one is mapped onto figure to by aA.) 90° clockwiseB.) 90° counterclockwiseC.) 180° clockwiseRotation about the origin followed by a translation ofA.) seven units rightB.) seven units leftC.) three units upD.) three units down

Which Sequence Of Transformations Maps Figure One Onto Figure 2Figure One Is Mapped Onto Figure To By AA 90 ClockwiseB 90 CounterclockwiseC 180 ClockwiseRotatio class=

Sagot :

The transformation from figure 1 to figure 2 is shown on the graph.

It is required to choose from the options the composition of transformation that maps figure 1 onto figure 2.

The coordinates of the vertices of figure 1 are (5,2), (5,7), and (8,5).

The coordinates of the vertices of figure 2 are (-2,2), (-7,3), and (-5,5).

Recall the coordinate rule of 90º counterclockwise rotation about the origin:

[tex](x,y)\rightarrow(-y,x)[/tex]

Hence, the rotation of figure 1 90º counterclockwise gives the vertices:

[tex](-2,5),(-7,5),(-5,8)[/tex]

Translate the image 3 units down by subtracting 3 from the y-coordinates to give vertices:

[tex]\begin{gathered} (-2,2),(-7,2),(-5,5) \\ \end{gathered}[/tex]

Notice that these vertices match that of figure 2.

It follows that the sequence of transformation is 90ºcounterclockwise rotation about the origin, followed by a translation three units down.

The answer is B followed by D.

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