Geometry – Unit 7 – Standard G.C.1 – Intro and Explore 1. What is a circle? Write five different definitions that your internet resources provided you. a. Definition #1: Source: b. Definition #2: Source: c. Definition #3: Source: d. Definition #4: Source: e. Definition #5: Source: 2. Based on all your definitions above, write your own definition for “circle.” Geometry – Unit 7 – Standard G.C.1 – Intro and Explore Geometry – Unit 7 – Standard G.C.1 – Intro and Explore 3. Find the EXACT center point of each circle on the previous page. a. Call the largest circle “Circle A” (that means the center point is point A) b. Call the next biggest “Circle B” c. Call the next biggest “Circle C” d. Call the next biggest “Circle D” e. Call the next biggest “Circle E” f. Call the next biggest “Circle F” g. Call the next biggest “Circle G” h. Call the next biggest “Circle H” 4. Using a red colored pencil, draw one radius on each circle. 5. Using a blue colored pencil, draw a second radius on each circle. 6. Using a green colored pencil, draw a third radius on each cirle. 7. Measure (don’t assume anything… actually measure!) each radius and record their length in this table: Red Blue Green Circle A Circle B Circle C Circle D Circle E Circle F Circle G Circle H 8. Discuss how well you found the center point of each circle. What are you using as evidence to support your discussion? (Several sentences… maybe three or four seem appropriate here.) Geometry – Unit 7 – Standard G.C.1 – Intro and Explore Here are all those circles again: Geometry – Unit 7 – Standard G.C.1 – Intro and Explore 9. Mark those center points again. Should be easier the second time around. 10. 11. 12. 13. Red Blue Green On each circle, draw a diameter in green. On each circle, draw a second diameter in blue. One each circle draw a third diameter in red. Measure each diameter and record it in this table. Circle A Circle B Circle C Circle D Circle E Circle F Circle G Circle H 14. How well did you draw and measure your radii from #5? What are you using as evidence to support your discussion? (Several sentences… maybe three or four seem appropriate here.) 15. Using the 6 measurements you have for each, explore if there is a scale factor relating each of the following pairs of circles. a. Circle A and Circle D Geometry – Unit 7 – Standard G.C.1 – Intro and Explore b. Circle B and Circle F c. Circle C and Circle A d. Circle G and Circle D e. Circle A and Circle E f. Circle G and Circle B Geometry – Unit 7 – Standard G.C.1 – Intro and Explore I have two circles drawn. I am not going to show them to you, but you know they are circles. (Remember your definition?) 16. Will the two circles that I have drawn be similar? Make a definite prediction (Yes or No… “Maybe” is not allowed… “I don’t know” is not allowed) and back up your claim with several sentences of support.
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