Question

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.

Answer 1

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

Explanation:

Answer 2

Explanation:

Formula to determine the scale factor,

Scale factor =
`\frac{\text{Dimension of the image}}{\text{Dimension of the original}}`

2 =
`(P'Q')/(PQ)`

2 =
`(P'Q')/(2)`

P'Q' = 4 cm

Similarly, for the length of A'B',

2 =
`(A'B')/(AB)`

2 =
`(A'B')/(1.5)`

A'B' = 3 cm

For the length of M'N',

2 =
`(M'N')/(MN)`

2 =
`(M'N')/(3)`

M'N' = 6 cm