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!

- anonymous

- schrodinger

See more answers at brainly.com

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- anonymous

@phi

- anonymous

A circle inscribed in a triangle?

- anonymous

I guess so

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

Like this?
|dw:1349651230207:dw|

- anonymous

yeah

- anonymous

@CliffSedge yeah, that's what the lesson shows

- anonymous

|dw:1349651442977:dw|

- anonymous

the center of the circle is equidistant from all of the sides

- anonymous

I guess I have to get perp bisectors to do it?

- anonymous

@MrMoose

- anonymous

to do what?

- anonymous

Not bisectors, but yes, you'll need perpendiculars.

- anonymous

to make the inscribed circle

- anonymous

im just reading the lesson and it says bisectors..... im so confused

- anonymous

If you want to make the circle, then you need the intersection of angle bisectors.

- anonymous

angle bisectors?

- anonymous

If I post an assignment can you help me with it specifically?

- anonymous

|dw:1349651716141:dw|

- anonymous

I guess so

- anonymous

there are 7 parts, so ill post them one at a time

- 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

What do you need help with?

- anonymous

Oh, you're doing the reverse. You're starting with the circle, then circumscribing a triangle around it.

- anonymous

I am unsure as to how I can help

- anonymous

|dw:1349651958633:dw|

- anonymous

I guess it's like that.

- anonymous

im not really sure, but ill do something like that for part one, thanks! now part 2...

- 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

|dw:1349652171056:dw|

- anonymous

Like that I guess...

- anonymous

how is the circle made?

- anonymous

"Circumscribed circle" means the circle is on the outside of the polygon.

- anonymous

It says a circle inside any of those polygons. I chose a square.

- anonymous

@CliffSedge . Ahh yes. I get that mixes up a lot.

- 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

|dw:1349652319786:dw|

- anonymous

Like that then I suppose?

- anonymous

The radius of the circle is the distance from a vertex of the polygon to the polygon's center.

- phi

For a circle through 3 points
http://www.mathsisfun.com/geometry/construct-circle3pts.html

- anonymous

@phi do you have a link for circumscibing too? that helped sooo much

- phi

http://www.mathsisfun.com/geometry/construct-trianglecircum.html

- anonymous

thanks sooo much @phi can you help me with the next part too?

- 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

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

Okay, how about Six:
Explain, using complete sentences, how you can determine whether or not a circle may circumscribe a quadrilateral.

- 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

How about
opposite angles of a cyclic quadrilateral are supplementary (sum to 180ยบ)

- 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

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

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

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

thanks!

- 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.

Looking for something else?

Not the answer you are looking for? Search for more explanations.