Consider this sequence of transformations performed on shape I: a dilation by a scale factor of 2, followed by a reflection across the x-axis, and then a translation left 1 unit. Does the sequence prove that shapes I and IV are similar? Explain your answer.

To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.

1. Dilate shape I by a scale factor of 2.

2. Then, reflect the dilated shape across the x-axis.

3. Finally, translate the reflected shape 1 unit left.

addisonwheeler addisonwheeler · Answer 2 · 2021-09-22T17:48:28+02:00

Answer:

The sequence does map shape I onto shape IV. So, the sequence of transformations proves the two shapes are similar.

Step-by-step explanation:

To check whether the sequence proves that shape I is similar to shape IV, check whether the given sequence of transformations maps shape I onto shape IV.

1. Dilate shape I by a scale factor of 2.

2. Then, reflect the dilated shape across the x-axis.

3. Finally, translate the reflected shape 1 unit left.