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Prove that the two circles shown below are similar.

Circle B is shown with a center at negative 1, 5 and a radius of 4. Circle D is shown with a center of 7, 4 and a radius of 2.

I need help right now Prove that the two circles shown below are similar Circle B is shown with a center at negative 1 5 and a radius of 4 Circle D is shown wit class=

Respuesta :

all circles are similar no matter the size through translation and dilation

All circles are similar to each other. All points on the circumference of any circle are equidistant from its center.  

What is the similarity of a circle?

The similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other. All circles are similar to each other.

All points on the circumference of any circle are equidistant from its center. Because the size of any circle is defined by its radius, we use the radii to determine its scale factor.

Given that the circle B has a radius = 4 and circle D has a radius = of 2

Now the scale factor is given as :

[tex]R_D\times X=R_B[/tex]

Here the circle D is actually scaled to make a new circle of radius.

[tex]2\times X=4[/tex]

[tex]X=2[/tex]

Here the radius of circle B is two times scaled by circle B. Hence circle D and circle B are similar.

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