Question

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.

Answer 1

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

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.

Answer 2

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

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.