1 / 21

7.7

7.7. What More Can I Learn About Circles? Pg. 24 Angles Inside and Outside Circles. 7.7 – What More Can I Learn About Circles? Inside and Outside Circles.

genera
Download Presentation

7.7

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 7.7 What More Can I Learn About Circles? Pg. 24 Angles Inside and Outside Circles

  2. 7.7 – What More Can I Learn About Circles? Inside and Outside Circles So far you have investigated when an angle is formed at the center or the side of the circle. Today you are going to continue to find angle measures that are inside and outside of circles.

  3. . 7.35–ANGLE LOCATION Determine if the angle formed is inside, outside, at the center, or on the circle. center inside outside on

  4. 7.36 – INSIDE ANGLES Uri now has a challenge for you: What happens when chords intersect inside a circle? Discover the relationship between the inside angle and the two intercepting arcs.

  5. a + b 2 x = ½a + ½b arc + arc 2 x = 180-½a-½b ½b ½a

  6. If an angle is formed inside of a circle not at the center, then the angle is ________ the ___________ of the two intercepted arcs. half sum vertical arc + arc 2 Inside angle =

  7. x° 7.37 – EXTRA PRACTICE Using the information you have learned, find the missing variables.

  8. 86 + 88 2 x = 174 2 x =

  9. 120 + 98 2 x = 218 2 x =

  10. 7.38 – OUTSIDE ANGLES Uri now has a new challenge for you: What happens when secants and tangents intersect outside a circle?

  11. x + ½ a + 180 – ½ b = 180 x + ½ a – ½ b = 0 x = ½ b – ½ a b – a 2 x = ½ a b a x° 180 – ½b ½ b Big arc – little arc 2 x =

  12. b a x http://www.cpm.org/flash/technology/sectangent.swf

  13. If an angle is formed outside of a circle, then the angle is  ________ the ________________ of the two intercepted arcs. half difference big arc – little arc 2 Outside angle =

  14. y ° x° x ° 7.39 – EXTRA PRACTICE Using the information you have learned, find the missing variables.

  15. B – L 2 x = 90 – 20 2 x = 70 2 x = x = 35°

  16. B – L 2 y = 111 – 41 2 y = 41° 70 2 y = y = 35°

  17. B – L 2 56° 134 – 56 2 78 2 39°

  18. B – L 2 x = 243 – 117 2 x = 117° 126 2 x = x = 63°

More Related