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The image above shows two dilated figures with lines IJ and KL drawn. If the smaller figure was dilated using a scale factor of 2, what relationship do lines IJ and KL have?

The image above shows two dilated figures with lines IJ and KL drawn If the smaller figure was dilated using a scale factor of 2 what relationship do lines IJ a class=

Respuesta :

calculista

Answer:

The relationship is [tex]IJ=2KL[/tex]

IJ is two  times KJ

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ------> the scale factor

[tex]z=\frac{IJ}{KL}[/tex]

we have

[tex]z=2[/tex]

substitute

[tex]2=\frac{IJ}{KL}[/tex]

[tex]IJ=2KL[/tex]

therefore

IJ is two times KJ

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