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53 Cards in this Set
- Front
- Back
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Angle Bisector:
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An angle is a ray that divides an angle into two congruent angles. |
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Congruent Segments:
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Congruent segments are segments that have the same length. |
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Construction:
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To draw a shape, line or angle accurately using a compass and straightedge (ruler).
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Linear Pair:
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A linear pair is a pair of adjacent angles whose non-common sides are opposite rays. |
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Net:
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A net is a two dimensional pattern that you can fold to form a three dimensional figure. |
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Perpendicular Bisector:
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The perpendicular bisector of a segment is a line, segment, or ray that is perpendicular to the segment at its midpoint. |
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Postulate:
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A postulate, or Axiom, is an accepted statement of fact. |
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Segment Bisector:
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A segment Bisector of a circle is the part of a circle bounded by an arc and the segment joining its endpoints. |
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Supplementary Angles:
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Angles that have a sum of 180 degrees. |
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Vertical Angles:
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Vertical Angles are two angles whose sides form two pairs of opposite rays. |
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Collinear Points:
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Co linear points lie on the same line. |
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Coplanar:
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Coplanar figures are figures in the same plane. |
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Segment:
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A part of a figure cut off by a line or plane intersecting it, in particular.
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Ray:
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Any of a set of straight lines passing through one point.
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Midpoint:
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The exact middle point.
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Vertex:
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The point of intersection of lines or the point opposite the base of a figure.
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Complementary Angles:
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Angles that have a sum of 90 degrees. |
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Adjacent Angles:
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Adjacent angles are two angles that have a common vertex and a common side. The vertex of an angle is the endpoint of the rays that form the sides of the angle. When we say common vertex and common side, we mean that the vertex point and the side are shared by the two angles.
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Perpendicular Lines:
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A line or plane that is perpendicular to a given line or plane.
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Circumference:
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The enclosing boundary of a curved geometric figure, especially a circle.
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Conjecture:
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In mathematics, a conjecture is a mathematical statement which appears to be true, but has not been formally proven. A conjecture can be thought of as the mathematicians way of saying “I believe that this is true, but I have no proof yet”. A conjecture is a good guess or an idea about a pattern.
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Converse:
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Switching the hypothesis and conclusion of a conditional statement. For example, the converse of "If it is raining then the grass is wet" is "If the grass is wet then it is raining."
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Inverse:
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A reciprocal quantity, mathematical expression, geometric figure, etc., that is the result of inversion.
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Contrapositive:
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A proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem and interchanging them <“if not-B then not-A ” is the contrapositive of “if A then B ”>
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Conditional Statement:
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A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in aconditional statement is denoted by the symbol . The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
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Negation:
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Inversion.
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Theorem:
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A general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths. |
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Alternate Interior Angles:
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The angles that are formed on opposite sides of the transversal and inside the two lines arealternate interior angles. The theorem says that when the lines are parallel, that thealternate interior angles are equal. |
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Alternate Exterior Angles:
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Formally, alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines. Parallel lines cut. by a transversal. |
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Corresponding Angles:
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The angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal. |
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Exterior Angle of a Polygon:
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Two exterior angles can be formed at each vertex of a polygon. Theexterior angle is formed by one side of the polygon and the extension of the adjacent side. For the hexagon shown at the left, <1 and <2 areexterior angles for that vertex. |
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Parallel Lines:
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Parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. By extension, a line and a plane, or two planes, in three-dimensional Euclidean space that do not share a point are said to be parallel.
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Point-Slope Form of a line:
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(y - y1) = m(x - x1) In point-slope form, y1 is the y value of the known point on the line, m is the slope and x1 is the x value of the knownpoint. This form of a linear equation is derived from the equation for finding the slope of a line. |
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Slope-Intercept form of a line:
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The Meaning of Slope and y-Intercept. in the Context of Word Problems. In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept, where the line crosses the y-axis. |
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Remote Interior Angles:
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The remote interior angles are just the twoangles that are inside the triangle and opposite from the exterior angle.
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Same-Side Interior Angles:
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Same side interior angles are two anglesthat are on the same side of the transversal and on the interior of the two lines. Same Side Interior Angles Theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary. |
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Transversal:
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(of a line) intersecting a system of lines.
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Base Angles of an Isosceles Triangle:
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In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles. |
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Congruent Polygons:
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Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the congruent figure on the right. |
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Hypotenuse:
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The longest side of a right triangle, opposite the right angle. |
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Vertex Angle of an Isosceles Triangle:
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Either of two equal and opposite angles formed by the intersection of two straight lines.
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Four Congruence Shortcuts:
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ASA,, AAS SAS, SSS |
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Altitude:
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The length of the perpendicular line from a vertex to the opposite side of a figure. |
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Centroid:
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The center of mass of a geometric object of uniform density. |
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Circumcenter:
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The point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices.
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Concurrent:
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(of three or more lines) meeting at or tending toward one point. |
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Incenter:
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The center of the incircle of a triangle or other figure. |
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Median:
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A straight line drawn from any vertex of a triangle to the middle of the opposite side. |
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Midsegment:
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A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side. |
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Orthocenter:
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The orthocenter is one of the triangle's points of concurrency formed by the intersection of the triangle's 3 altitudes. |
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Regular Polygon:
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In Euclidean geometry, a regular polygon is apolygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star. |
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Parallelogram:
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A four-sided plane rectilinear figure with opposite sides parallel. |
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Consecutive Angles:
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Consecutive interiorangles are supplementary. Formally,consecutive interior angles may be defined as two interior angles lying on the same side of the transversal cutting across two parallel lines. Parallel lines cut. by a transversal. |
