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anonymous

  • one year ago

*Medal Will Be Awarded!* Given: Line DR tangent to Circle O. If m Ancle C = 63°, then m Angle BDR = a) 63 b) 90 c) 126

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  1. anonymous
    • one year ago
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    https://suwannee.owschools.com/media/g_geo_2013/7/group179.gif

  2. anonymous
    • one year ago
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    B

  3. anonymous
    • one year ago
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    How so?

  4. anonymous
    • one year ago
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    Can You Show Me?

  5. anonymous
    • one year ago
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    I had this same question on a test and I guessed and got it right!

  6. phi
    • one year ago
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    It may not be obvious but both angle C and angle BDR have the *same intercepted arc*

  7. anonymous
    • one year ago
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    Oh

  8. anonymous
    • one year ago
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    Thanks guys!

  9. anonymous
    • one year ago
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    Appreciate it!

  10. anonymous
    • one year ago
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    np

  11. phi
    • one year ago
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    If inscribed angles have the same arc, then they are both 1/2 of that arc. they both are equal to the same value.

  12. anonymous
    • one year ago
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    Yeah

  13. phi
    • one year ago
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    so if C=63 what is angle BDR ?

  14. anonymous
    • one year ago
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    But sometimes it gets a little confusing because looks like it's not actually intercepting the arch and is just running straight through. That's usually what stumps me.

  15. phi
    • one year ago
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    Yes, the tangent is a special case. But we (or somebody) can prove the angle BDR equals 1/2 of the arc from B to D the short way (through A)

  16. phi
    • one year ago
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    so if C=63 what is angle BDR ?

  17. anonymous
    • one year ago
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    90?

  18. anonymous
    • one year ago
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    Oh it should actually be 63 right?And not 90?

  19. phi
    • one year ago
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    I guess you are missing the point. Do you agree that angle C is 1/2 of its intercepted arc (which is from B to D the short way) |dw:1435584558053:dw|

  20. phi
    • one year ago
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    and (a bit mysterious but true) |dw:1435584627499:dw|

  21. phi
    • one year ago
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    so if both angle C and angle BDR = 1/2 arc BD, then angle C must equal angle BDR

  22. anonymous
    • one year ago
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    Huh. Wow. Well I guess I'm awake now

  23. anonymous
    • one year ago
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    So it is 63

  24. phi
    • one year ago
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    yes

  25. anonymous
    • one year ago
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    Wow

  26. anonymous
    • one year ago
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    Mind Blown Lol

  27. phi
    • one year ago
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    It is the only reason we bother to learn this stuff... to see how it is possible to take "simple facts" and deduce stuff that is totally not obvious. The more you do of this, the better you are able to "think" (make logical deductions). but it takes practice to get your brain to do it.

  28. anonymous
    • one year ago
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    Yea I know. I found Algebra a heck of a lot easier than Geometry. Many other people argue saying that Geometry is "Easy As Pie", but I disagree

  29. anonymous
    • one year ago
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    What I trying to do is get help with all of these questions that I missed on this test so I can find out where in the world I went wrong with them. I'm not just here for answers. I Need "Explanations" too.

  30. phi
    • one year ago
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    Yes, geometry can be painful to learn. But it's worth tackling just to get used to thinking hard.

  31. anonymous
    • one year ago
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    Yeah, I agree. I used to think the same way about Punnet Squares, but now I'm almost like a pro! Lol

  32. anonymous
    • one year ago
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    Would you mind helping me with a few more?

  33. anonymous
    • one year ago
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    I'll give you medals and fan you too

  34. phi
    • one year ago
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    please make a new post.

  35. anonymous
    • one year ago
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    I will

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