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