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. 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 .

Answer 1

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

1. Enlargement occurs when the scale factor is greater than 1 (e.g., 2, 3, etc.). This means the image is getting larger.
2. Reduction occurs when the scale factor is less than 1 (e.g., 1/2, 1/3, etc.). This means the image is getting smaller.

From the provided responses, we can analyze the scale factors mentioned:

• "A′B′ is an enlargement of AB by a scale factor of 2." (Enlargement)
• "AB is an enlargement of A′B′ by a scale factor of 2." (Incorrect, this implies AB is smaller and can't be an enlargement of a bigger image)
• "AB is a reduction of A′B′ by a scale factor of 12." (Reduction implies A'B' is larger)
• "A′B′ is a reduction of AB by a scale factor of 12." (Reduction implies A'B' is smaller)

Based on the interpretations:

• If A'B' has a scale factor of greater than 1 compared to AB, then A'B' is an enlargement.
• If AB has a scale factor of less than 1 compared to A'B', then AB is a reduction.

In conclusion, if the scale factor mentioned in the comparison between A'B' and AB indicates that one is larger or smaller, it will classify as either an enlargement or a reduction based on the value of the scale factor. Without more specific information from the image mentioned, we cannot definitively conclude which options are correct but we can classify correctly based on scale factors.

If we assume A'B' is larger than AB, then A'B' is an enlargement of AB by a scale factor of 2. If AB is larger than A'B', this would indicate a reduction by a scale factor of 1/2 or some other value indicating decrease. Therefore, confirm the scale factor presented in your image to derive the final conclusion.

Answer 2

whats the answers

Answer 3

Based on the provided responses and assuming we have to determine the relationships between segments \(A'B'\) and \(AB\) using scale factors mentioned, the correct interpretations are:

• A′B′ is an enlargement of AB by a scale factor of 2. (This means \(A'B'\) is twice the size of \(AB\).)

• AB is a reduction of A′B′ by a scale factor of 1/2. (This means \(AB\) is half the size of \(A'B'\).)

The following statements are incorrect:

• "AB is an enlargement of A′B′ by a scale factor of 2." (This does not make sense if \(A'B'\) is larger.)

• "A′B′ is a reduction of AB by a scale factor of 12." (This suggests \(A'B'\) is much smaller than \(AB\), which contradicts the previous statement.)

Based on typical conventions and the scale factors mentioned:

1. If A′B′ is larger than AB, it confirms that \(A'B'\) is an enlargement by a scale factor of 2.

2. Conversely, if interpreted from AB's perspective, it confirms that it is a reduction to A′B′ by a scale factor of 1/2.

So, the most accurate answers are:

• A′B′ is an enlargement of AB by a scale factor of 2.
• AB is a reduction of A′B′ by a scale factor of 1/2.

If these interpretations of the statements fit with the context you're working from, they are the correct conclusions.