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Constructing Parallel Lines

"Constructing parallel lines with a compass and straightedge uses the converse of the parallel lines theorem. Creating congruent corresponding angles (or congruent AIA or AEA) guarantees parallel lin ...

Constructing a Median

"A median is a line segment from the vertex to the midpoint of the opposite side in a triangle. In every type of triangle, the median will be contained within the polygon, unlike altitudes which can l ...

Polygons

"Polygons are closed plane figures formed by three or more line segments. If a figure is open or curved, it cannot be considered a polygon. Concave polygons have at least one diagonal that does not ...

Circumference

"Circumference can be thought of as the "perimeter" of a circle or the distance around a circle. Since pi is the ratio of circumference to diameter, circumference can be calculated by multiplying the ...

Point of Concurrency

"A point of concurrency is where three or more lines intersect in one place. Incredibly, the three angle bisectors, medians, perpendicular bisectors, and altitudes are concurrent in every triangle. Th ...

Perimeter

"Perimeter is the sum of the sides of a polygon. It is a distance and therefore is a one-dimensional property. The perimeter of a circle is called its circumference, and can be found using the formul ...

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 ...

Parallelogram Properties

"Properties of parallelograms often show up in geometric proofs and problems. Parallelogram properties apply to rectangles, rhombi and squares. In a parallelogram, opposite sides are congruent, oppos ...

Parallel and Skew Lines

"Parallel lines are two lines in the same plane that never intersect. In a coordinate plane, parallel lines can be identified as having equivalent slopes. Parallel lines are traditionally marked in ...

Number of Diagonals in a Polygon

"A diagonal is a segment that connects two non-consecutive vertices in a polygon. The number of diagonals in a polygon that can be drawn from any vertex in a polygon is three less than the number of ...

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