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determine whether the dilation is an enlargment or a reduction.

A'[B' is an enlargment of AB by a scale factor of 2.
A'B' is a reduction of AB by a scale factor of 12.
AB is a reduction of A'B' by a scale factor of 2
A'B' is a enlargment of AB by a scale factor of 12

3 answers

To determine whether each dilation is an enlargement or a reduction, we need to look at the scale factors:

  1. A'B' is an enlargement of AB by a scale factor of 2.

    • Since the scale factor is greater than 1 (2), this is an enlargement.

  2. A'B' is a reduction of AB by a scale factor of 12.

    • Since the scale factor is less than 1 (1/12), this is a reduction.

  3. AB is a reduction of A'B' by a scale factor of 2.

    • This means that A'B' is larger than AB since the scale factor indicates that A'B' is twice as large as AB. Therefore, this indicates that AB is a reduction of A'B', which means A'B' is an enlargement of AB by a scale factor of 2.

  4. A'B' is an enlargement of AB by a scale factor of 12.

    • Since the scale factor is greater than 1 (12), this is also an enlargement.

To summarize:

  • 1: Enlargement (scale factor 2)
  • 2: Reduction (scale factor 12)
  • 3: Indicates enlargement of A'B' over AB (scale factor 2)
  • 4: Enlargement (scale factor 12)
whats the answer

Sure! Here's the answer for each statement regarding whether it's an enlargement or reduction:

  1. A'B' is an enlargement of AB by a scale factor of 2. - Enlargement
  2. A'B' is a reduction of AB by a scale factor of 12. - Reduction
  3. AB is a reduction of A'B' by a scale factor of 2. - Indicates A'B' is an enlargement of AB (scale factor of 2)
  4. A'B' is an enlargement of AB by a scale factor of 12. - Enlargement

So, the summary is:

  1. Enlargement
  2. Reduction
  3. Enlargement (indirectly)
  4. Enlargement