Dilations of Segments Quick Check 2 of 52 of 5 Items Question Use the image to answer the question. 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. A′B′¯¯¯¯¯¯¯¯¯¯ is a reduction of AB¯¯¯¯¯¯¯¯ by a scale factor of 12. Modifying above upper A prime upper B prime with bar is a reduction of Modifying above upper A upper B with bar by a scale factor of Start Fraction 1 over 2 End Fraction . 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 . Skip to navigation page 15 of 15 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To determine whether the dilation is an enlargement or a reduction, you typically need to look at the scale factor used in the transformation:

1. If the scale factor is greater than 1, it is an enlargement.
2. If the scale factor is less than 1 but greater than 0, it is a reduction.

From your question, it seems you have several statements involving the segments AB and A'B':

• A'B' is an enlargement of AB by a scale factor of 2. (True, if the scale factor is indeed 2)
• AB is an enlargement of A'B' by a scale factor of 2. (False, if A'B' is larger)
• A'B' is a reduction of AB by a scale factor of 1/2. (True, since dilation reduces size to half)
• AB is a reduction of A'B' by a scale factor of 1/2. (False, as AB cannot be smaller than A'B' in this scenario)

Based on the above, if A'B' is a dilation of AB with a scale factor of 2, then it represents an enlargement. Conversely, if AB represents a segment being reduced by a scale factor of 1/2, it means that A'B' is larger.

In summary:

• If A'B' is created by enlarging AB with a scale factor of 2, then it is indeed an enlargement.
• If you also mention that AB can be considered a reduction by 1/2, this context solidifies that A'B' is larger than AB.

To correctly answer this question, look for which segments are provided in the image to confirm their lengths and validate the corresponding statements based on this analysis.