anonymous
  • anonymous
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!
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
@phi
anonymous
  • anonymous
A circle inscribed in a triangle?
anonymous
  • anonymous
I guess so

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More answers

anonymous
  • anonymous
Like this? |dw:1349651230207:dw|
anonymous
  • anonymous
yeah
anonymous
  • anonymous
@CliffSedge yeah, that's what the lesson shows
anonymous
  • anonymous
|dw:1349651442977:dw|
anonymous
  • anonymous
the center of the circle is equidistant from all of the sides
anonymous
  • anonymous
I guess I have to get perp bisectors to do it?
anonymous
  • anonymous
@MrMoose
anonymous
  • anonymous
to do what?
anonymous
  • anonymous
Not bisectors, but yes, you'll need perpendiculars.
anonymous
  • anonymous
to make the inscribed circle
anonymous
  • anonymous
im just reading the lesson and it says bisectors..... im so confused
anonymous
  • anonymous
If you want to make the circle, then you need the intersection of angle bisectors.
anonymous
  • anonymous
angle bisectors?
anonymous
  • anonymous
If I post an assignment can you help me with it specifically?
anonymous
  • anonymous
|dw:1349651716141:dw|
anonymous
  • anonymous
I guess so
anonymous
  • anonymous
there are 7 parts, so ill post them one at a time
anonymous
  • anonymous
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.
anonymous
  • anonymous
What do you need help with?
anonymous
  • anonymous
Oh, you're doing the reverse. You're starting with the circle, then circumscribing a triangle around it.
anonymous
  • anonymous
I am unsure as to how I can help
anonymous
  • anonymous
|dw:1349651958633:dw|
anonymous
  • anonymous
I guess it's like that.
anonymous
  • anonymous
im not really sure, but ill do something like that for part one, thanks! now part 2...
anonymous
  • anonymous
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.
anonymous
  • anonymous
|dw:1349652171056:dw|
anonymous
  • anonymous
Like that I guess...
anonymous
  • anonymous
how is the circle made?
anonymous
  • anonymous
"Circumscribed circle" means the circle is on the outside of the polygon.
anonymous
  • anonymous
It says a circle inside any of those polygons. I chose a square.
anonymous
  • anonymous
@CliffSedge . Ahh yes. I get that mixes up a lot.
phi
  • phi
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"
anonymous
  • anonymous
|dw:1349652319786:dw|
anonymous
  • anonymous
Like that then I suppose?
anonymous
  • anonymous
The radius of the circle is the distance from a vertex of the polygon to the polygon's center.
phi
  • phi
For a circle through 3 points http://www.mathsisfun.com/geometry/construct-circle3pts.html
anonymous
  • anonymous
@phi do you have a link for circumscibing too? that helped sooo much
phi
  • phi
http://www.mathsisfun.com/geometry/construct-trianglecircum.html
anonymous
  • anonymous
thanks sooo much @phi can you help me with the next part too?
anonymous
  • anonymous
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.
phi
  • phi
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
anonymous
  • anonymous
Okay, how about Six: Explain, using complete sentences, how you can determine whether or not a circle may circumscribe a quadrilateral.
phi
  • phi
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.
phi
  • phi
How about opposite angles of a cyclic quadrilateral are supplementary (sum to 180ยบ)
anonymous
  • anonymous
okay that makes much more sense lol thanks! Seven: Explain, using complete sentences, why an inscribed circle will only work within a regular polygon.
anonymous
  • anonymous
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.
phi
  • phi
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.
phi
  • phi
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
anonymous
  • anonymous
thanks!
phi
  • phi
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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