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Secants

"A secant is a line, ray, or line segment that intersects a circle in two places. Three points are covered: (1) secants that intersect in a circle which divide each other proportionally, (2) the angl ...

Constructing a Perpendicular

"The shortest distance between a point not on a line and a line is along the perpendicular to the line. Constructing a perpendicular to a line uses the same process as constructing the perpendicular b ...

Constructing a Line Segment

"When constructing a line segment, we use a compass and straightedge to first draw a ray or line and then a point that will serve as an endpoint of the new segment. Next, we measure the given segment ...

Circle Chord

Hipervinculo Matemáticas

Circle Chord

"A chord is a line segment whose endpoints are on a circle. If a chord passes through the center of the circle, it is called a diameter. Two important facts about a circle chord are that (1) the perpe ...

Perpendicular Bisector

"When looking at a line segment, there is only one line that will pass through the midpoint that will be a constant distance between the two endpoints. This line is called the perpendicular bisector. ...

Parts of a Circle

"A chord is a line segment whose endpoints are on a circle. A diameter is a chord that passes through the center of a circle. Another one of the parts of a circle is a radius, which is a line segmen ...

Parametric Equations

"Sometimes when graphing a shape or equation we want to add a parameter, something like time, which requires us to use parametric equations. One example of the use of parametric equations is to descri ...

Parameterize a Circle

"One application of parametric equations that is useful to learn is how to parameterize a circle. In order to parameterize a circle centered at the origin, oriented counter-clockwise, all we need to k ...

Midpoints

Hipervinculo Matemáticas

Midpoints

"When learning about midpoints, it is also important to understand the concept of congruent segments. Congruent line segments are line segments with the same length. In a line segment, there is one po ...

Area of a Segment

"The area of a segment in a circle is found by first calculating the area of the sector formed by the two radii and then subtracting the area of the triangle formed by the two radii and chord (or seca ...

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