Circle Similarity
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, or "sits on", circle A.
Use the horizontal and vertical sliders to move the center of the transformation of circle B (circle B').
Then, use the scale factor slider (sf) to adjust the radius of circle B'.
TO RESET: click the double arrows in the upper right corner.
1. Were you always able to match the circles? Explain.
What is the definition of congruence?
2. Are circles always congruent? Explain why or why not.
What is the definition of similarity?
3. Are circles always similar? Explain why or why not, using your experiences in this activity.
FILL IN THE BLANKS:
So circles are always __________, but not always __________.
Reviewing Vocabulary
Is a shape's image the original shape before any transformations?
FINISH THIS SENTENCE:
So a pre-image is the ...
NOW TRY THIS!
In our previous discussions, we talked about how to compute the scale factors between two circles that are dilated. Using the formula. Solve and answer the following questions below.
1.