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Sunshine447

  • 2 years ago

Can someone please help me "Inscribed circles to triangles"? I watched a video, but it still doesn't make sense..... The video skips a lot of the steps and I'm not sure why...... Please help me!

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  1. Sunshine447
    • 2 years ago
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    @phi

  2. CliffSedge
    • 2 years ago
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    A circle inscribed in a triangle?

  3. Sunshine447
    • 2 years ago
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    I guess so

  4. CliffSedge
    • 2 years ago
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    Like this? |dw:1349651230207:dw|

  5. Sunshine447
    • 2 years ago
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    yeah

  6. Sunshine447
    • 2 years ago
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    @CliffSedge yeah, that's what the lesson shows

  7. MrMoose
    • 2 years ago
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    |dw:1349651442977:dw|

  8. MrMoose
    • 2 years ago
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    the center of the circle is equidistant from all of the sides

  9. Sunshine447
    • 2 years ago
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    I guess I have to get perp bisectors to do it?

  10. Sunshine447
    • 2 years ago
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    @MrMoose

  11. MrMoose
    • 2 years ago
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    to do what?

  12. CliffSedge
    • 2 years ago
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    Not bisectors, but yes, you'll need perpendiculars.

  13. Sunshine447
    • 2 years ago
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    to make the inscribed circle

  14. Sunshine447
    • 2 years ago
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    im just reading the lesson and it says bisectors..... im so confused

  15. CliffSedge
    • 2 years ago
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    If you want to make the circle, then you need the intersection of angle bisectors.

  16. Sunshine447
    • 2 years ago
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    angle bisectors?

  17. Sunshine447
    • 2 years ago
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    If I post an assignment can you help me with it specifically?

  18. MrMoose
    • 2 years ago
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    |dw:1349651716141:dw|

  19. MrMoose
    • 2 years ago
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    I guess so

  20. Sunshine447
    • 2 years ago
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    there are 7 parts, so ill post them one at a time

  21. Sunshine447
    • 2 years ago
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    One: Construct a circle and a tangent to the circle using a compass and straightedge. (4 points) Draw three random points on your paper. Construct the circle through these three points. Determine the circle's center. Construct a tangent to the circle, using one of the original three points as the point of tangency.

  22. MrMoose
    • 2 years ago
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    What do you need help with?

  23. CliffSedge
    • 2 years ago
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    Oh, you're doing the reverse. You're starting with the circle, then circumscribing a triangle around it.

  24. MrMoose
    • 2 years ago
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    I am unsure as to how I can help

  25. Dido525
    • 2 years ago
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    |dw:1349651958633:dw|

  26. Dido525
    • 2 years ago
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    I guess it's like that.

  27. Sunshine447
    • 2 years ago
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    im not really sure, but ill do something like that for part one, thanks! now part 2...

  28. Sunshine447
    • 2 years ago
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    Two: Construct a circumscribed circle about a regular polygon using a compass and straightedge. (4 points) Choose a regular polygon from which you will draw a circumscribed circle. triangle | square | pentagon | hexagon Construct the circumscribed circle.

  29. Dido525
    • 2 years ago
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    |dw:1349652171056:dw|

  30. Dido525
    • 2 years ago
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    Like that I guess...

  31. Sunshine447
    • 2 years ago
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    how is the circle made?

  32. CliffSedge
    • 2 years ago
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    "Circumscribed circle" means the circle is on the outside of the polygon.

  33. Dido525
    • 2 years ago
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    It says a circle inside any of those polygons. I chose a square.

  34. Dido525
    • 2 years ago
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    @CliffSedge . Ahh yes. I get that mixes up a lot.

  35. phi
    • 2 years ago
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    This seems pretty easy to follow for a circle in a triangle http://www.mathsisfun.com/geometry/construct-triangleinscribe.html notice the instructions below the "action figure"

  36. Dido525
    • 2 years ago
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    |dw:1349652319786:dw|

  37. Dido525
    • 2 years ago
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    Like that then I suppose?

  38. CliffSedge
    • 2 years ago
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    The radius of the circle is the distance from a vertex of the polygon to the polygon's center.

  39. phi
    • 2 years ago
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    For a circle through 3 points http://www.mathsisfun.com/geometry/construct-circle3pts.html

  40. Sunshine447
    • 2 years ago
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    @phi do you have a link for circumscibing too? that helped sooo much

  41. phi
    • 2 years ago
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    http://www.mathsisfun.com/geometry/construct-trianglecircum.html

  42. Sunshine447
    • 2 years ago
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    thanks sooo much @phi can you help me with the next part too?

  43. Sunshine447
    • 2 years ago
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    Three: Construct an inscribed circle within a regular polygon using a compass and straightedge. (4 points) Choose a regular polygon from which you will draw an inscribed circle. Note: The polygon you choose must be different from the polygon you chose in problem 2. triangle | square | pentagon | hexagon Construct the inscribed circle.

  44. phi
    • 2 years ago
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    I would pick a square, and follow the same instructions as for the triangle. Bisect 2 angles and find the intersection to get the center of the circle. draw a perpendicular from the center to 1 side of the square to find the radius

  45. Sunshine447
    • 2 years ago
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    Okay, how about Six: Explain, using complete sentences, how you can determine whether or not a circle may circumscribe a quadrilateral.

  46. phi
    • 2 years ago
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    Here is the professional answer: A quadrilateral is cyclic (i.e. may be inscribed in a circle) if one side subtends congruent angles at the two opposite vertices.

  47. phi
    • 2 years ago
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    How about opposite angles of a cyclic quadrilateral are supplementary (sum to 180º)

  48. Sunshine447
    • 2 years ago
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    okay that makes much more sense lol thanks! Seven: Explain, using complete sentences, why an inscribed circle will only work within a regular polygon.

  49. Sunshine447
    • 2 years ago
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    And, is there a video for this? Construct a circle and a tangent to the circle using a compass and straightedge. (4 points) Draw three random points on your paper. Construct the circle through these three points. Determine the circle's center. Construct a tangent to the circle, using one of the original three points as the point of tangency.

  50. phi
    • 2 years ago
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    Construct a circle and a tangent to the circle using a compass and straightedge. draw the circle. draw a line from the center through the circle. mark the intersection. construct a perpendicular to the line through that point.

  51. phi
    • 2 years ago
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    Draw three random points on your paper. Construct the circle through these three points. For a circle through 3 points http://www.mathsisfun.com/geometry/construct-circle3pts.html

  52. Sunshine447
    • 2 years ago
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    thanks!

  53. phi
    • 2 years ago
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    Determine the circle's center. I think you have to do this do construct the circle in the first place. Construct a tangent to the circle, using one of the original three points as the point of tangency. This is the same problem as the first one: Construct a circle and a tangent to the circle using a compass and straightedge.

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