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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?
Drag the answer into the box to match each segment.

A dilation with a scale factor of 2 is applied to the three line segments shown The resulting images are PQ AB and MN What are the lengths of the images Drag th class=

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Answer:

Step-by-step explanation:

Formula to determine the scale factor,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

2 = [tex]\frac{P'Q'}{PQ}[/tex]

2 = [tex]\frac{P'Q'}{2}[/tex]

P'Q' = 4 cm

Similarly, for the length of A'B',

2 = [tex]\frac{A'B'}{AB}[/tex]

2 = [tex]\frac{A'B'}{1.5}[/tex]

A'B' = 3 cm

For the length of M'N',

2 = [tex]\frac{M'N'}{MN}[/tex]

2 = [tex]\frac{M'N'}{3}[/tex]

M'N' = 6 cm

Answer:

P'Q' = 4 cm A'B' = 3 cm M'N' = 6 cm

Step-by-step explanation:

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