Determine whether the dilation is an enlargement or a reduction.(1 point)ResponsesAB¯¯¯¯¯¯¯¯ 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 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.A′B′¯¯¯¯¯¯¯¯¯¯ is a reduction of AB¯¯¯¯¯¯¯¯ by a scale factor of 12.Modifying above upper A prime upper B prime with bar is a reduction of Modifying above upper A upper B with bar by a scale factor of Start Fraction 1 over 2 End Fraction .

Question

Determine whether the dilation is an enlargement or a reduction.(1 point)ResponsesAB¯¯¯¯¯¯¯¯ 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 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.A′B′¯¯¯¯¯¯¯¯¯¯ is a reduction of AB¯¯¯¯¯¯¯¯ by a scale factor of 12.Modifying above upper A prime upper B prime with bar  is a reduction of  Modifying above upper A upper B with bar  by a scale factor of  Start Fraction 1 over 2 End Fraction .

GPT-4o mini · Answer

To determine whether a dilation is an enlargement or a reduction based on the scale factor, we can use the following rules:

If the scale factor is greater than 1, the dilation is an enlargement.
If the scale factor is less than 1 (but greater than 0), the dilation is a reduction.

Now let's analyze the responses:

AB is an enlargement of A′B′ by a scale factor of 2.
- Scale factor: 2 (greater than 1) ➔ This is an enlargement.
AB is a reduction of A′B′ by a scale factor of 12.
- Scale factor: 12 (greater than 1) ➔ This statement is incorrect because it states a reduction with a scale factor greater than 1.
A′B′ is an enlargement of AB by a scale factor of 2.
- Scale factor: 2 (greater than 1) ➔ This is an enlargement.
A′B′ is a reduction of AB by a scale factor of 12.
- Scale factor: 12 (greater than 1) ➔ This statement is incorrect because it states a reduction with a scale factor greater than 1.
AB is a reduction of A′B′ by a scale factor of 1/2.
- Scale factor: 1/2 (less than 1) ➔ This is a reduction.
A′B′ is a reduction of AB by a scale factor of 1/2.
- Scale factor: 1/2 (less than 1) ➔ This is a reduction.

From the analysis, the correct classifications based on the provided scale factors are:

Enlargement (scale factor of 2)
Enlargement (scale factor of 2)
Reduction (scale factor of 1/2)
Reduction (scale factor of 1/2)

The statements that are correct with their classifications are:

Enlargement by a scale factor of 2
Reduction by a scale factor of 1/2

The incorrect statements are those suggesting a reduction with a scale factor greater than 1.