Vertices of a Polygon

Triangle by Its Vertices

We know that this is going to be equal to it's vertical angle.

So, this geometry object will consist of vertices along with a face.

Polygon by Its Vertices

Construct a polygon with this vertex

Construct a polygonal line with this vertex

Construct the vertices of this polygon...

Construct a triangle with this vertex

Construct the vertices of this polygon

Construct a polygon with this control point

It might be something involving, the other option is something involving triangles.

Select a vertex for the new polygon...

Select the polygon of which you want to construct the vertices...

The vertices of a polygon.

Construct a regular polygon with this vertex

Construct a polygon by giving its vertices

Select a point to be a vertex of the new polygon...

Select a point to be a vertex of the new polygonal line...

Construct a Bézier curve by giving its control points

Select a point to be a control point of the new Bézier curve...

Construct a Bézier curve by giving its control points and positive weights

Select a point to be a control point of the new rational Bézier curve...

Select a point to be a control point of the new quadratic Bézier curve...

Select a point to be a control point of the new cubic Bézier curve...

Select a point to be a vertex of the new triangle...

Select a point to be a control point of the new cubic...

Select a point to be a control point of the new quadric...

Select a point to be a vertex of the new open polygon...

And we could've also figured that out by saying, hey, this angle is supplementary to this angle right over here.

Equilateral triangle with given two vertices

Here are a number of terms covered in this course, match each with it's related concept.

Or we know that this pink angle is going to be 70 degrees.

Now the other thing we know is we can do the exact same exersise up here this two are gonna be equal to each other and this two are gonna be equal to each other.

So this angle is vertical with that one, so it's going to be equal to that angle right over there.

Construct a triangle given its three vertices.

Construct a Rational Bézier quadratic given its three control points.

And so in general, when you wanna measure an angle, what you wanna do is you wanna put the center of your protracter at the center of well actually,

is when two rays share a common vertex. and that common vertex is actually called the vertex of the angle. so A is vertex.

So all of these things in green are equivalent and by the same exact argument, this side over here or this angle is going to have the same measure as this angle and that's going to be the same as this angle, because they're opposite, or they're vertical angles.

I'm talking about triangle ABF and triangle ACE and they both share this vertex at A and point A is a vertex for both of these

Construct a regular polygon with a given center and vertex

Actually while you're here maybe you and Natalie could discuss the matter of personal belonging.

So let me just put something here.

Summit, peak