Are All Circles Similar?

Last updated over 5 years ago

1 question

Today, you will explore and answer the question "Are all circles similar?". Begin by interacting with the Geogebra applet below. As you work with the applet, think about what conjecture (hypothesis) you can make based on your observations.

In the diagram below, you have two circles, Circle A and Circle B. See if you can transform circle B so that it maps onto circle A. 

Use the horizontal and vertical sliders to move the center of circle B'. 
Then, use the scale factor slider (sf) to adjust the radius of circle B'. 
Click the double arrows in the upper right corner to reset the activity with a new pair of circles.

Take a look at the video below to discover more about the similarity of circles.

How would you rate the difficulty of this concept?

Now, click here and sign into IXL topic "Geometry-P.9 Similarity of circles" to practice. The goal is 55%.