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Triangle PQR is transformed to similar triangle P'Q'R'.

A coordinate grid is shown from negative 10 to 0 to positive 10 on both x- and y-axes at increments of 1. A triangle PQR has P at ordered pair 4, 4, Q at ordered pair 8, 4, R at ordered pair 4 and 8. A polygon P prime Q prime R prime has P prime at ordered pair 1,1, Q prime at ordered pair 2,1, R prime at ordered pair 1, 2.

What is the scale factor of dilation?

Respuesta :

bcalle
The length of the legs, PQ and PR are 4 units.
The lengths of the legs, P'Q' and P'R' are 1 unit.
Since the legs (and triangle) got smaller we know that the scale factor is between 0 and 1.
So.. 4 * x = 1
divide both sides by 4
       x = 1/4
The scale factor is 1/4

The scale factor of a dilation is [tex]\frac{1}{4}[/tex].

The following information should be considered:

  • The length of the legs i.e. for PQ and PR should be 4 units.
  • The length of the legs i.e. for P'Q' and P'R' should be 1 unit.
  • As the legs & triangle are smaller also the scale factor lies between 0 and 1.

Now based on the above information, we can say that

4x = 1

So x = [tex]\frac{1}{4}[/tex]

Therefore we can conclude that the scale factor of a dilation is [tex]\frac{1}{4}[/tex].

Learn more: brainly.com/question/22059747

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