Question

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Select the correct answer.
Which sequence of transformations proves that shape I is similar to shape II?
A. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
B. a reflection across the x-axis, and then a dilation by a scale factor of 3
C. a reflection across the x-axis, and then a dilation by a scale factor of 2
D. a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3

Answer 1

Answer:

C

Step-by-step explanation:

1) you can tell that one of the pre-images sides is 2 units and the corresponding image's is 1 so you can assume the scale factor is 2, also the preimage is on one side of the x axis and the image is on the other.

Answer 2

Answer:  C. a reflection across the x-axis, and then a dilation by a scale factor of 2

Step-by-step explanation:

We see that the shapes are on the opposite sides of the x-axis, and vertical lines are still vertical.  A 90° rotation would have made the vertical lines horizontal.

We see that the line that was 1 unit long is now 2 units. The line that went from 4 to 6 goes from 8 to 12. This is evidence of a dilation bt a factor of 2.