Are All Circles are SIMILAR

Directions

In the diagram below, you have two circles, circle A and Circle B. See if you can transform circle B so that it matches circle A exactly ("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'.
Screenshot and upload
Click the double arrows in the upper right corner to reset the activity with a new pair of circles. Do this 4 times making sure to screenshot and upload
Then, answer the questions below the diagram.

1. Were you always able to match the circles?

2. Are circles always congruent? Explain why or why not, using your experiences in this activity.

3. Are circles always similar? Explain why or why not, using your experiences in this activity.

5. Using your knowledge about similar circles, which of the following method is valid to prove that two circles are similar?

Vink alles aan wat van toepassing is

A
Calculate the ratio of degrees to the area for each circle and show that they are equal.
B
Calculate the ratio of degrees to the radius for each circle and show that they are equal.
C
Calculate the ratio of the area to the diameter for each circle and show that they are equal.
D
Calculate the ratio of radius to circumference for each circle and show that they are equal.

Controleer mijn antwoord (3)

Are All Circles are SIMILAR

Directions

1. Were you always able to match the circles?

2. Are circles always congruent? Explain why or why not, using your experiences in this activity.

3. Are circles always similar? Explain why or why not, using your experiences in this activity.

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