Determine whether the dilation is an enlargement or a reduction.

Question

(1 point)
AB is an enlargement of A'B' by a scale factor of 2.
O A'B is an enlargement of AB by a scale factor of 2.
A'B is a reduction of AB by a scale factor of ¿
O AB is a reduction of A'B' by a scale factor of

Answer 1

To determine whether the dilation is an enlargement or a reduction, we can look at the scale factors provided:

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

   • This means that AB is twice the size of A'B'. Therefore, this is an enlargement.

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

   • This means that A'B is twice the size of AB. Therefore, this is also an enlargement.

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

   • If A'B is smaller than AB by some scale factor, this would be a reduction.

4. AB is a reduction of A'B' by a scale factor of ¿.

   • If AB is smaller than A'B' by some scale factor, this would be a reduction.

Summary:

• If the scale factor is greater than 1, it indicates an enlargement (the image is larger than the original).
• If the scale factor is between 0 and 1, it indicates a reduction (the image is smaller than the original).

Based on the mentioned statements, the first and second options represent enlargements, while the third and fourth would represent reductions if the corresponding scale factors are indeed less than 1.