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facundo3141592

Answer: QRS and TRU

Step-by-step explanation:

A dilation of 1 + 1/2 means that the second image is (1 + 1/2) times the lenght of the first one.

for this, you can chek with one of the sides of the triangles:

with the triangles QRS and TRU we have that the line RS has a lenght of 2 units, then the lenght of the RU must be 1 and 1/2 times that lenght:

RU = (1 + 1/2)*2 = 2 + 1 = 3 units

and we can see in the grap that the segment RU has a lenght of 3 units, so this is a dilation with a scale factor of 1 + 1/2

For the other 3 options we can see that in the top left one bot triangles are equal, and in the bottom two the dilation is witha scale factor of 2.

dubeyshailja64

The figures QRS and TRU are the figures that show a dilation with a scale factor of   [tex]1\dfrac{1}{2}[/tex].

What is dilation?

Simply defining, dilation is a transformation that changes the measure of a figure. The dilation factor measures the size of the new image as compared to the old.

The dilation factor [tex]1\dfrac{1}{2}[/tex]  means that the new image is 1.5 times of the old image. The figures QRS and TRU are the correct choice for the requirement.

The scale of figure QRS is (0,2). To be 1.5 times of the figure, the scale of resulting figure should be:

[tex]2\times1.5=3[/tex]

We can see from the figure, the scale of TRU is (0,3).

Therefore the correct option is C.

Learn more about dilation here:

https://brainly.com/question/2856466

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