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    Geometry: Theorems

    Math

    • Title Home
    • Study Guide
    • Topics
      • Assorted Theorems
      • Basic Theorems for Triangles
      • Problems
      • Theorems for Segments within Triangles
      • Problems
      • Theorems for Other Polygons
      • Problems
      • Theorems for Angles and Circles
      • Problems
      • Theorems for Segments and Circles
      • Problems
    • Terms

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    Geometry: Theorems Terms

    Terms

    Geometry: Theorems Terms
    • Centroid

      The point in a triangle at which the medians of a triangle intersect.

    • Circumcenter

      The point at which the perpendicular bisectors of a triangle intersect.

    • Concurrent

      Intersecting at one point; lines, rays, segments, etc. are concurrent when they intersect at one point.

    • External Segment

      The segment contained by a secant segment with an endpoint on the circle and at the fixed point outside the circle whose points all lie outside the circle (except the endpoint on the circle).

    • Incircle

      The point in a triangle at which the angle bisectors of a triangle intersect. This point is also the center of a circle inscribed in the triangle.

    • Inscribed Angle

      An angle whose vertex lies on a circle and whose sides are contained by secant lines.

    • Internal Segment

      The segment contained by a secant segment whose endpoints are both on the circle.

    • Isosceles Trapezoid

      A trapezoid with congruent legs.

    • Lower Base Angles

      The angles in an isosceles trapezoid whose vertices are the endpoints of the longer base.

    • Median of a Triangle

      A segment within a triangle with one endpoint at a vertex of the triangle and the other endpoint at the midpoint of the side opposite the vertex. Every triangle has three medians.

    • Midsegment

      A segment within a triangle whose endpoints are midpoints of the sides of the triangle. Every triangle has three midsegments.

    • Orthocenter

      The point at which the altitudes of a triangle intersect.

    • Point of Concurrency

      The intersection point of concurrent lines, segments, etc.

    • Remote Interior Angles

      The two angles of a triangle that are not adjacent to the exterior angle which is drawn by extending one of the sides.

    • Secant Segment

      A segment with one endpoint on a circle, the other endpoint at a fixed point outside the circle, and one point of intersection with the circle, not including its endpoint.

    • Theorem

      A statement about geometric figures that has been proved in the past, and can be accepted as a truth in the present without proof. A list of important theorem's can be found in review.

    • Upper Base Angles

      The two angles of an isosceles trapezoid whose vertices are the endpoints of the smaller base.

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