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### 86 Cards in this Set

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 Distance from a point to a line The length of the perpendicular segment from the point to the line octagon an 8-sided polygon measure of an angle The smallest amount of rotation neccessary to rotate from 1 of an angle to the other. congruent polygons 2 polygons are congruent polygons only if all their corresponding angles are congruent and all their corresponding sides are congruent congruent segments 2 segments are congruent segments only if they have the same measure parallelogram A quadrilateral in which both pairs of opposite sides are paralell Congruent 2 geometric figures are congruent if and only if they are identical in shape and size. square an equiangular rhombus or an equilateral rectangle degree A unit of measure for angles *solid of revolution *A 3-Dimensional figure formed by spinning a 2-D figure about a line congruent angles 2 angles are congruent only if they have the same measure consecutive vertices 2 vertices of a polygon connected by a side angle bisector a ray that has an endpoint on the vertex of an angle and that divides the angle into 2 angles of equal measure line segment 2 points and all the points between them that lie on the line containing the 2 points. The 2 points are called endpoints of the line segment. hexagon A 6-sided polygon coplaner points 2 or more points that lie on the same plane heptagon a 7-sided polygon *Mathematical model An abstraction of a real-world problem into a mathematical problem. Creating a mathematical model can involve making assumptions and simplifications; creating geometric figures, graphs, and tables; or finding equations that approximate the behavior of a real event. *The mathematical problem can be solved. When the solution is interpreted it may provide a solution to the real world problem. *Section *The plane figure that results when a solid is cut by a plane. *Euler line *The line through a triangle's circumcenter, orthocenter, and centroid; named after a Swiss mathematician and physicist Leonhard Euler. diagonal of a polygon A segment connecting 2 non consecutive vertices orthocenter The point of concurrency of the 3 altitudes (or of lines through the altitudes) of a triangle regular polygon a polygon that is both equiangular and equilateral *Inscribed circle in a polygon *A circle that touches each side of a polygon at exactky one point. The polygon is CIRCUMSCRIBED about the circle. Kite A quadrilateral with exactly two pairs of distinct congruent consecutive sides. circumcenter The point of concurrency of the 3 perpendicular bisectors of the sides of a triangle. perimeter of a polygon *Circumscribed circle about a polygon *A circle that passes through each vertex of a polygon. The polygon is INSCRIBED about the circle. rectangle an equiangular paralellogram point An undefined term. The basic unit of geometry. It has no size, is infinitely small, and has only location. isoscles triangle a triangle with at least 2 sides the same length line an undefined term. A straight arrangement of points. There are infinitely many points in a line. A line has an infinite length but no thickness and extends forever in 2 directions decagon a 10 sided polygon definition A statement that clarifies or explains the meaning of a word or phrase. *Venn diagram *Acircle diagram that may be used to show the relationships among members of different sets. Incenter The point of concurrency of the 3 angle bisectors in a triangle right triangle a triangle with exactly 1 right angle centroid the point of concurrency of the 3 medians of a triangle consecutive sides 2 sides of a polygon that share a common vertex collinear points 2 or more points that lie on the same line equilateral polygon a polygon whose sides are equal in measure Perpendicular bisector A line that divides a line segment into 2 congruent parts (bisects it) and that is also perpendicular to the line segment dodecagon a 12-sided polygon space the set of all points perimeter of a polygon The sum of the lengths of the sides of a polygon plane an undefined term. A plane has length and width but no thickness. It is a flat surface that extends forever. undecagon an 11-sided polygon angle 2 rays that share a common endpoint, provided that the 2 rays do not lie on the same line. *tree diagram *A concept map in the form of the branches of a tree. It can be used to show relationships among members of a family, for example. Concurrent lines (segments or rays) Lines, segments, or rays that lie in the same plane are CONCURRENT if and only if they intersect in a single point. The point of intersection is the POINT OF CONCURRENCY equiangular polygon a polygon whose angles are equal in measure ray ray AB is part of AB that contains A and all the points on AB that are on the same side of A as B. Point A is the endpoint of AB. n-gon An n-sided polygon counterexample An example that proves a statement wrong. *Locus of Points *The set of all points in a plane that satisfy some given property or condition. skew lines Lines that are not on the same plane and that do not intersect nonagon a 9-sided polygon right angle an angle whose measure is 90' scalene triangle a triangle with 3 sides of different lengths supplementary angles 2 angles whose measures have the sum of 180' perimeter of a polygon midpoint of a segment If x is the midpoint of AB, then x is a point on AB such that AX=XB obtuse triangle a triangle with exactly 1 obtuse angle complementary angles 2 angles whose measures have the sum of 90' height of an isosceles triangle the length of the altitude obtuse angle an angle whose measure is more than 90' acute triangle a triangle with 3 acute angles polygon a closed geometric figure in a plane in which line segments connect endpoint to endpoint and each segment intersects exactly 2 others consecutive angles 2 angles of a polygon that share a common side acute angle an angle whose measure is less than 90' median of a triangle a segment connecting the midpoint of a side to the opposite vertex linear pair of angles If X,Y,and Z are consecutive colinnear points and W is a point not on XZ, then