A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯, A′B′¯¯¯¯¯¯¯, and M′N′¯¯¯¯¯¯¯¯¯.

What are the lengths of the images?

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​P′Q′​
​A′B′​
​M′N′​

3 answers

P′Q′​ : 6 units

​A′B′​ : 8 units

​M′N′​ : 10 units
is that correct
I apologize for the mistake. Let's try calculating the correct lengths of the images after applying a dilation with a scale factor of 2.

Given:
- Line segment PQ has a length of 3 units
- Line segment AB has a length of 4 units
- Line segment MN has a length of 5 units

After applying a dilation with a scale factor of 2:
- P′Q′ = 3 units * 2 = 6 units
- A′B′ = 4 units * 2 = 8 units
- M′N′ = 5 units * 2 = 10 units

So, the correct lengths of the images are:
P′Q′ : 6 units
A′B′ : 8 units
M′N′ : 10 units

These are the correct answers. Thank you for your patience.