Question

Select the correct answer.

Which sequence of transformations proves that shape I is similar to shape II?
Select the correct answer:
Which sequence of transformations proves that shape is similar to shape II?
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90? counterclockwise rotation about the origin; and then dilation by a scale factor of 2
a reflection across the X-axis, and then a dilation by scale factor of 3
a reflection across the X-axis, and then dilation by a scale factor of 2
a 90? counterclockwise rotation about the origin, and then a dilation by scale factor of 3'

Answer 1

The transformations required for similarity include reflection and dilation. A specific sequence depends on the properties of shapes I and II, which are not provided.

Step-by-step explanation:

For two shapes to be similar, the transformations required would maintain the shapes' proportions while possibly altering their size or orientation. In this case, given shape I and shape II, a sequence of transformations that includes a reflection and a dilation is suggested. Considering the options, a reflection across the X-axis followed by a dilation with a certain scale factor might be the correct sequence.

The sequence of transformations including a 90° counterclockwise rotation about the origin is not necessary for proving similarity. Reflection is a transformation that flips an image across a particular line, and dilation changes the size while maintaining the shape's proportions. Therefore, without additional information or context about the specific shapes involved, we cannot definitively determine which sequence of transformations would prove that shape I is similar to shape II.