Use the image to answer the question.

Question

A coordinate plane's x-axis ranges from negative 5 to 0 and its y-axis ranges from negative 2 to 2, both by 0.5-unit increments. 4 points are plotted and labeled forming 2 line segments, 1 dotted and 1 solid.

Determine whether the dilation is an enlargement or a reduction.

(1 point)
Responses

A′B′¯¯¯¯¯¯¯¯¯¯ is an enlargement of AB¯¯¯¯¯¯¯¯ by a scale factor of 2.
Modifying above upper A prime upper B prime with bar is an enlargement of Modifying above upper A upper B with bar by a scale factor of 2.

AB¯¯¯¯¯¯¯¯ is an enlargement of A′B′¯¯¯¯¯¯¯¯¯¯ by a scale factor of 2.
Modifying above upper A upper B with bar is an enlargement of Modifying above upper A prime upper B prime with bar by a scale factor of 2.

AB¯¯¯¯¯¯¯¯ is a reduction of A′B′¯¯¯¯¯¯¯¯¯¯ by a scale factor of 12.
Modifying above upper A upper B with bar is a reduction of Modifying above upper A prime upper B prime with bar by a scale factor of Start Fraction 1 over 2 End Fraction .

A′B′¯¯¯¯¯¯¯¯¯¯ is a reduction of AB¯¯¯¯¯¯¯¯ by a scale factor of 12.

Answer 1

To determine whether the dilation is an enlargement or a reduction, we need to compare the lengths of the segments AB and A'B'.

1. If the length of A'B' is greater than the length of AB, then A'B' is an enlargement of AB.
2. If the length of A'B' is less than the length of AB, then A'B' is a reduction of AB.

Since we do not have the image or the coordinates of the points A, B, A', and B', we cannot calculate the lengths directly. However, based on the phrasing of the options, we can infer:

• If A′B′ is described as an enlargement or a reduction relative to AB, then you should choose the response accordingly based on whether the new segment is longer or shorter than the original segment.

Among the provided responses, evaluate them as follows:

• If A'B' is longer than AB: The correct response would be A′B′ is an enlargement of AB by a certain scale factor.
• If A'B' is shorter than AB: The correct response would be A′B′ is a reduction of AB by a certain scale factor.

Without specific numerical lengths, I can't definitively choose an option.

Please check the lengths of AB and A'B' in the image and apply the logic above to select the correct relationship between them (enlargement or reduction).