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Use the image to answer the question. Determine whether the dilation is an enlargement or a reduction. (1 point) Responses 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 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 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 .

1 answer

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. Enlargement: If the scale factor is greater than 1, the image is an enlargement, meaning the new shape (A'B') is larger than the original shape (AB).
  2. Reduction: If the scale factor is less than 1, the image is a reduction, which means the new shape (A'B') is smaller than the original shape (AB).

According to the responses provided:

  • If AB is stated to be an enlargement of A'B' by a scale factor of 2, then that means A'B' is smaller than AB (reduction).
  • If A'B' is stated to be an enlargement of AB by a scale factor of 2, then that means AB is smaller than A'B' (enlargement).
  • If AB is a reduction of A'B', that means AB is smaller than A'B' (this confirms A'B' is larger).
  • If A'B' is a reduction of AB by a scale factor of 12, that means A'B' is significantly smaller than AB (also a reduction).

The correct interpretation of the dilation will depend on the specific lengths of segments AB and A'B'.

Conclusion:

  • Clarifying which segment is larger in the given situation will determine if the dilation is an enlargement or a reduction.

Thus, please find the relevant lengths to finalize whether it is an enlargement or a reduction.