Similarity of circles problems independent practice worksheet answers 2025

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  1. Click ‘Get Form’ to open it in the editor.
  2. Begin by entering your name and date at the top of the worksheet. This personalizes your document and helps keep track of submissions.
  3. For each problem, identify the transformation required. For example, in problems involving points like Z to Z’, determine the translation rule and scale factor needed for dilation.
  4. Use the text fields provided to write down your answers clearly. Ensure that you follow the format requested, such as specifying both translation rules and scale factors.
  5. Review each section carefully before finalizing your answers. Make sure all transformations are accurately represented.
  6. Once completed, save your document directly from our platform or export it for printing or sharing.

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Finding the Circumference and Area of a Circle Vocabulary Circumference of a circle is 2 r or d where is the radius of the circle and is the diameter. The area of a circle is equivalent to r 2 , where is the radius of the circle.
A similarity transformation can include a translation, a dilation, and possibly a rotation, but a rotation is not necessary to map one circle onto another. All circles are similar: This statement is True. All circles are similar because they can be mapped onto each other through a dilation (scaling) and translation.
Since a radius is a constant (an unchanging number), and any constant is proportional to another constant, then all circles must be similar. A related geometric property is congruence. Congruent shapes are identical in every possible way: proportion, angles, size.
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 means that circle is similar to circle , because a similarity transformation (translation then dilation) mapped circle to circle . Circle and circle were two random circles.