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86 Cards in this Set
- Front
- Back
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Distance from a point to a line
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The length of the perpendicular segment from the point to the line
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octagon
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an 8-sided polygon
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measure of an angle
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The smallest amount of rotation neccessary to rotate from 1 of an angle to the other.
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congruent polygons
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2 polygons are congruent polygons only if all their corresponding angles are congruent and all their corresponding sides are congruent
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congruent segments
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2 segments are congruent segments only if they have the same measure
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parallelogram
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A quadrilateral in which both pairs of opposite sides are paralell
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Congruent
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2 geometric figures are congruent if and only if they are identical in shape and size.
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square
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an equiangular rhombus or an equilateral rectangle
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degree
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A unit of measure for angles
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*solid of revolution
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*A 3-Dimensional figure formed by spinning a 2-D figure about a line
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congruent angles
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2 angles are congruent only if they have the same measure
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consecutive vertices
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2 vertices of a polygon connected by a side
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angle bisector
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a ray that has an endpoint on the vertex of an angle and that divides the angle into 2 angles of equal measure
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line segment
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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.
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hexagon
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A 6-sided polygon
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coplaner points
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2 or more points that lie on the same plane
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heptagon
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a 7-sided polygon
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*Mathematical model
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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.
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*Section
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*The plane figure that results when a solid is cut by a plane.
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*Euler line
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*The line through a triangle's circumcenter, orthocenter, and centroid; named after a Swiss mathematician and physicist Leonhard Euler.
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diagonal of a polygon
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A segment connecting 2 non consecutive vertices
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orthocenter
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The point of concurrency of the 3 altitudes (or of lines through the altitudes) of a triangle
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regular polygon
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a polygon that is both equiangular and equilateral
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*Inscribed circle in a polygon
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*A circle that touches each side of a polygon at exactky one point. The polygon is CIRCUMSCRIBED about the circle.
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Kite
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A quadrilateral with exactly two pairs of distinct congruent consecutive sides.
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circumcenter
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The point of concurrency of the 3 perpendicular bisectors of the sides of a triangle.
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perimeter
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of a polygon
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*Circumscribed circle about a polygon
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*A circle that passes through each vertex of a polygon. The polygon is INSCRIBED about the circle.
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rectangle
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an equiangular paralellogram
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point
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An undefined term. The basic unit of geometry. It has no size, is infinitely small, and has only location.
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isoscles triangle
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a triangle with at least 2 sides the same length
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line
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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
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decagon
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a 10 sided polygon
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definition
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A statement that clarifies or explains the meaning of a word or phrase.
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*Venn diagram
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*Acircle diagram that may be used to show the relationships among members of different sets.
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Incenter
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The point of concurrency of the 3 angle bisectors in a triangle
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right triangle
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a triangle with exactly 1 right angle
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centroid
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the point of concurrency of the 3 medians of a triangle
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consecutive sides
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2 sides of a polygon that share a common vertex
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collinear points
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2 or more points that lie on the same line
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equilateral polygon
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a polygon whose sides are equal in measure
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Perpendicular bisector
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A line that divides a line segment into 2 congruent parts (bisects it) and that is also perpendicular to the line segment
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dodecagon
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a 12-sided polygon
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space
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the set of all points
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perimeter of a polygon
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The sum of the lengths of the sides of a polygon
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plane
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an undefined term. A plane has length and width but no thickness. It is a flat surface that extends forever.
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undecagon
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an 11-sided polygon
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angle
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2 rays that share a common endpoint, provided that the 2 rays do not lie on the same line.
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*tree diagram
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*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.
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Concurrent lines (segments or rays)
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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
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equiangular polygon
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a polygon whose angles are equal in measure
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ray
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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.
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n-gon
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An n-sided polygon
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counterexample
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An example that proves a statement wrong.
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*Locus of Points
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*The set of all points in a plane that satisfy some given property or condition.
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skew lines
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Lines that are not on the same plane and that do not intersect
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nonagon
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a 9-sided polygon
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right angle
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an angle whose measure is 90'
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scalene triangle
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a triangle with 3 sides of different lengths
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supplementary angles
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2 angles whose measures have the sum of 180'
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perimeter
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of a polygon
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midpoint of a segment
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If x is the midpoint of AB, then x is a point on AB such that AX=XB
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obtuse triangle
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a triangle with exactly 1 obtuse angle
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complementary angles
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2 angles whose measures have the sum of 90'
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height of an isosceles triangle
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the length of the altitude
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obtuse angle
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an angle whose measure is more than 90'
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acute triangle
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a triangle with 3 acute angles
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polygon
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a closed geometric figure in a plane in which line segments connect endpoint to endpoint and each segment intersects exactly 2 others
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consecutive angles
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2 angles of a polygon that share a common side
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acute angle
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an angle whose measure is less than 90'
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median of a triangle
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a segment connecting the midpoint of a side to the opposite vertex
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linear pair of angles
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If X,Y,and Z are consecutive colinnear points and W is a point not on XZ, then <XYW and <WYZ form a linear pair of angles.
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trapezoid
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a quadrilateral with exactly one pair of parallel sides
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pentagon
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a five sided polygon
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parallel lines
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2 or more lines that lie in the same plane and that do not intersect
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altitude of a triangle
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a perpendicular segment from a vertex to the opposite side or the line containing the opposite side.
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perpendicular lines
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2 lines that intersect to form a right angle
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Segment Bisector
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A line that passes through the midpoint of a segment
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vertical angles
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the opposite angles formed by intersecting lines
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rhombus
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An equilateral parallelogram
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vertex of a polygon
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each endpoint where the sides of a polygon meet
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side of a polygon
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each line segment of a polygon
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*convex polygon
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*A polygon in which no segment connecting 2 vertices is outside the polygon
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*concave polygon
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*a polygon in which no segment connecting two vertices is outside the polygon
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triangle
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a 3-sided polygon
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quadrilateral
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a 4-sided polygon
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