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Advanced Math Terms
Advanced Mathematics: An Incremental Development - Second Edition - John Saxon
Terms in this set (54)
An unbroken connection of points.
A straight curve that has no ends. It has no width and continues without end in both directions.
Contains the endpoints and all points between the endpoints.
Indicates that designated geometric qualities are equal. Geometrically identical.
Part of a line with one endpoint--the beginning point, called the origin--and extends indefinitely in one direction. Also known as a half line.
Two rays of opposite directions that lie on the same line (rays that are collinear) and that share a common endpoint.
When two geometric figures have points in common.
A flat surface like a tabletop that has no thickness and that continues without limit in the two dimensions that define the plane. Determined by three noncollinear points, two lines that intersect at one point and/or two parallel lines.
Lines that are not in the same plane. Never parallel and do not intersect.
The geometric figure formed by two rays that have a common endpoint.
The region bounded by two radii and the arc of a circle.
The difference in direction of two intersecting lines.
The rotation of a ray about its endpoint.
When both angles have the same initial and terminal sides.
When two rays have a common endpoint and point in opposite directions; has a measure of 180°
When two rays meet and form a "square corner"; has a measure of 90°; can also be referred to as an angle that is perpendicular.
Has measures that are greater than 0° and less than 90°.
Has measure that are greater than 90° and less than 180°.
When the sum of the measures of two angles is 180°.
When the sum of the measures of two angles is 90°.
A triangle in which all the angles measure equal.
A triangle in which the measure of at least two angles are equal.
A triangle with one right angle.
A triangle with angles that measure less than 90°.
A triangle that has at least one angle that measures greater than 90°.
A triangle in which the lengths of all sides are equal.
A triangle that has at least two sides of equal length.
A triangle in which all of the sides have different lengths.
A line that cuts or intersects one or more other lines in the same plane.
Angles on opposite sides of the transversal.
Angles that have corresponding positions.
The perimeter of a circle; The product of pi and the diameter of the circle.
Two points on a circle and all the points on the circle between them.
Area of a Rectangle
The number that equals the product of the length of the rectangle and the width of the rectangle.
Area of a Triangle
One half of the product of the base and the altitude regardless of the shape of the triangle.
The surface swept out by a line which is always parallel to a given line and moves along a curved path called the directrix.
A geometric solid determined by two parallel planes that intersect all the elements of a closed cylindrical surface.
Right Cylinder (Right Solid)
A cylinder where the bases are perpendicular to the cylindrical surface.
A cylinder whose base is a circle.
A cylinder whose base is an ellipse.
A cylinder whose bases are not perpendicular to the sides.
Volume of Cylinders and Prisms
Equal to the product of the area of a base and the perpendicular distance between the bases.
Lateral Surface Area of Right Cylinders and Right Prisms
The perimeter of a base multiplied by the height (where the height is defined to be the perpendicular distance between the bases).
Volume of a Cone or Pyramid
Equals one third the product of the area of the base and the height.
Slant Height of the Cone
The shortest distance from the apex to a point on the circle.
Perfectly round, three-dimensional shape.
The Volume of a Sphere
Exactly two thirds the volume of the smallest right circular cylinder into which the sphere fits.
Triangle Inequality Postulate
The sum of the lengths of any two sides of any triangle is greater than the length of the third side.
Simple, closed, coplanar geometric figures whose sides are straight lines.
The measures of corresponding angles must be equal, and the lengths of corresponding sides must also be proportional.
Triangles whose corresponding angles have equal measures.
A statement that everyone accepts without proof.
A line that intersects (touches) a circle at only one point.
A line that intersects a circle at two points.
The segment from a point outside the circle to the second point of intersection.
The segment from the point outside the circle to the first point of intersection.
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