# Which single transformation can always establish any two circles to be similar?

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## Which transformation could be used to show similar circles?

To show that any two circles are similar you need to perform a translation and/or a dilation.

## What must exist for two circles to be similar?

Because a circle is defined by its center and radius, if two circles have the same center and radius then they are the same circle. … This proves that in general, all circles are similar.

## Is there always a similarity transformation that will map one circle onto another?

All circles are similar! Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another. … The circles are now concentric (they have the same center).

## What ratio proves all circles are similar?

Also, we could show in the same way that the area ratio equals the square of the radius ratio. The circumferences, diameters, and radii of our two circles are all in proportion, which means they’re similar.

## Which statement best explains why all circles are similar?

The diameter of every circle is proportional to the radius. The inscribed angle in every circle is proportional to the central angle. There are 360° in every circle. The ratio of the circumference of a circle to its diameter is same for every circle.

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## What is the same about the two circles What is different?

Two or more circles that have the same center, but different radii. … Diameter is the measure of the distance across the center of a circle. The diameter is equal to twice the measure of the radius.

## What must exist for similarity?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

## What is similarity transformation?

▫ A similarity transformation is a composition of a finite number of dilations or rigid motions. Similarity transformations precisely determine whether two figures have the same shape (i.e., two figures are similar).

## What shapes always similar?

Specific types of triangles, quadrilaterals, and polygons will always be similar. For example, all equilateral triangles are similar and all squares are similar. If two polygons are similar, we know the lengths of corresponding sides are proportional.

## What is the relationship between circle and circle B?

The radii of Circle A and Circle B have the same length. Step-by-step explanation: The radii, diameter, and circumference would be the same length for two circles that are congruent, therefore, the answer is B.