Line segment AB is dilated to create line segment A'B' using point Q as the center of dilation.

Point Q is the center of dilation. Line segment A B is dilated to create line segment A prime B prime. The length of Q A is 1.25 and the length of A A prime is 1.25.

What is the scale factor?

1
1.25
2
2.5

To find the scale of dilation, you have to compare the ratio of the after transform with before transform according to the center of dilation. In this case, the center of dilation is Q so you have to compare QA' : QA. We know that QA= 1.25 and AA' is 1.25. The distance of QA' will be:

QA'= QA + AA'= 1.25 + 1.25 = 2.5

The scale factor will be:

scale factor= QA' : QA.= 2.5 : 1.25

scale factor= 2

oeerivona oeerivona · Answer 2 · 2021-12-15T15:29:11+01:00

The dilation or scale is the factor the dimensions of the preimage relative to the center of dilation is multiplied by to get the image.

The scale factor of dilation is; 2

Reasons:

The given parameters are;

The segment AB is dilated to form segment A'B'.

The center of dilation = The point Q

Length of QA = 1.25

Length of AA' = 1.25

Required:

The scale factor of the dilation.

Solution:

The scale factor of the dilation is given by the relation;

[tex]\displaystyle Scale \ factor = \frac{QA'}{QA}[/tex]

QA' = QA + AA' = 1.25 + 1.25 = 2.50

Therefore;

[tex]\displaystyle The \ scale \ factor = \mathbf{\frac{2.5}{1.25}} =2[/tex]

Learn more about dilation transformation here:

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