catwolf1995
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Circle 1 is centered at (−4, 5) and has a radius of 2 centimeters. Circle 2 is centered at (2, 1) and has a radius of 6 centimeters.


What transformations can be applied to Circle 1 to prove that the circles are similar?


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The circles are similar because you can translate Circle 1 using the transformation rule (blank, blank) and then dilate it using a scale factor of blank.

Circle 1 is centered at 4 5 and has a radius of 2 centimeters Circle 2 is centered at 2 1 and has a radius of 6 centimetersWhat transformations can be applied t class=

Respuesta :

If you translate circle 1 with the vector (6,-4), the center will become

[tex](-4,5)+(6,-4) = (-4+6,5-4)=(2,1)[/tex]

So, circles 1 and 2 are now concentric. The radii are, respectively, 2 and 6. This means that, if we dilate circle 1 with a scale factor of 3, its radius will become 6 as well.

After this two transformations, both circles will have center (2,1) and radius 6.

The transformation rule is (x+6, y-4).

We dilate by a factor of 3.

What is a circle?

A circle is a perfectly round shape meaning any point around its curve is the same distance from its central point called the center

How to know what transformations can be applied to Circle 1 to prove that the circles are similar?

  • Basically, we have two circles

Firstly we need to shift the center.

  • To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).

Again we need to dilate the circle.

  • Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.

Find more about "Circles" here: https://brainly.com/question/17326298

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