There is a 90° clockwise rotation about the origin followed by a dilation of scale factor of 0.5
Thus the correct option is C.
which sequence of transformations applied to shape 1 proves that shape 1 is similar to shape 2?
The first thing we can notice in the image is that the two figures have different orientations.
On the left side, we can see that the two "plane opposite sides" are oriented upwards and downwards, while on the left figure we can see that these sides are oriented "left and right"
Then there is a rotation of 90° to the right (this is actually called a rotaion of 90° clockwise) from 1 to 2.
Then, if you look at the bottom side of figure 1, you can see that the side measures 2 units.
If you look at the left side of figure 2 (it is the same one as the bottom side of image 1, remember that figure 2 is a rotation of figure 1) it measures one unit.
So there is a dilation of scale factor k such that:
k*2 = 1
k = 1/2 = 0.5
Then:
There is a 90° clockwise rotation about the origin followed by a dilation of scale factor of 0.5
Thus the correct option is C.
If you want to learn more about transformations:
https://brainly.com/question/4289712
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