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Sunshine447
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!
A circle inscribed in a triangle?
Like this? |dw:1349651230207:dw|
@CliffSedge yeah, that's what the lesson shows
the center of the circle is equidistant from all of the sides
I guess I have to get perp bisectors to do it?
Not bisectors, but yes, you'll need perpendiculars.
to make the inscribed circle
im just reading the lesson and it says bisectors..... im so confused
If you want to make the circle, then you need the intersection of angle bisectors.
If I post an assignment can you help me with it specifically?
there are 7 parts, so ill post them one at a time
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.
What do you need help with?
Oh, you're doing the reverse. You're starting with the circle, then circumscribing a triangle around it.
I am unsure as to how I can help
I guess it's like that.
im not really sure, but ill do something like that for part one, thanks! now part 2...
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.
how is the circle made?
"Circumscribed circle" means the circle is on the outside of the polygon.
It says a circle inside any of those polygons. I chose a square.
@CliffSedge . Ahh yes. I get that mixes up a lot.
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"
Like that then I suppose?
The radius of the circle is the distance from a vertex of the polygon to the polygon's center.
For a circle through 3 points http://www.mathsisfun.com/geometry/construct-circle3pts.html
@phi do you have a link for circumscibing too? that helped sooo much
http://www.mathsisfun.com/geometry/construct-trianglecircum.html
thanks sooo much @phi can you help me with the next part too?
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.
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
Okay, how about Six: Explain, using complete sentences, how you can determine whether or not a circle may circumscribe a quadrilateral.
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.
How about opposite angles of a cyclic quadrilateral are supplementary (sum to 180º)
okay that makes much more sense lol thanks! Seven: Explain, using complete sentences, why an inscribed circle will only work within a regular polygon.
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.
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.
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
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.