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Point of Concurrency
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Last updated
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Date created
Mar 1, 2020
Cards (120)
Section 1
(50 cards)
Point of Concurrency
The point where several lines intersect.
Midpoint
The point on the line segment that is the same distance from both endpoints. The midpoint bisects the segment.
Centroid
The point of concurrency of a triangle's three medians.
Coplanar
In the same plane.
Decagon
Ten sided polygon.
Pentagon
A five sided polygon.
Line
An undefined term thought of as a straight, continuous arrangement of infinitely many points extending forever in two directions. A line has length, but no width or thickness, so it is one-dimensional.
Hexagon
A six sided polygon
Nonagon
Nine sided polygon.
Ray
A point on a line, and all the points of the line that lie on one side of this point.
Perpendicular (lines, line segments, or rays)
Lines are perpendicular if they meet at 90 degree angles. Lines segments and rays are perpendicular if they lie on perpendicular lines.
n-th Term
The number that a function rule generates as output for a counting number n.
Hypotenuse
The side opposite the right angle in a right triangle. It is the longest side of a triangle.
Scalene Triangle
Triangle that all sides and all angles are different
Regular
All sides are equal and all angles are equal within a polygon
Plane
An undefined term thought of as a flat surface that extends infinitely along its edges. This has length and width but no thickness, so it is two- dimensional.
Bisect
To divid into two congruent parts.
Dodecagon
12 sided polygon.
Converse
The statement formed by exchanging the antecedent and the consequent of a conditional statement.
Concave polygon
A polygon with at least one diagonal outside the polygon.
Cosine
The ratio of the length of the leg adjacent to the angle to the length of the hypotenuse
Center
The coplanar point from which all points of the circle are the same distance.
Secant Line
A line that intersects a circle or sphere in two points.
Sine
The ratio of the length of the leg opposite the angle to the length of the hypotenuse
Convex polygon
A polygon with no diagonal outside the polygon.
Vertex
A point of intersection of two or more rays or line segments in a geometric figure. The plural of vertex is vertices.
Acute Triangle
Triangle with all angles less than 90°
Segment
Two points and all the points between them that are collinear with the two points. To measure this, you measure the length.
Angle
Two noncollinear rays having a common endpoint.
Conjecture
A generalization resulting from inductive reasoning.
Triangle
Polygon with three sides
Contrapositive
The statement formed by exchanging and negating the antecedent and the consequent of a conditional statement
Endpoint
The point at either end of a segment or an arc, or the first point of a ray.
Equiangular
Equal angles
Intersecting lines
Two lines that cross each other
Skew lines
Lines that are not in the same plane and do not intersect.
Incenter
The point of concurrency of a triangle's three angle bisectors.
Parallelogram
A quadrilateral with two pairs of parallel sides
Collinear
On the same line.
Orthocenter
The point of concurrency of a triangle's three altitudes (or of the lines containing the altitudes).
Non-collinear
Not on the same line.
Pythagorean Tripple
Three positive integers with the property that the sum of the squares of two of the integers equals the square of the third.
Point
An undefined term thought of as a location with no size or dimension. It is the most basic building block of geometry. In a two dimensional coordinate system, a point's location is represented by an ordered pair of numbers (x,y).
Median
A line segment connecting a vertex of a triangle to the midpoint of the opposite side.
Altitude
A perpendicular segment from a vertex to the base or to the line or plane containing the base.
Circumcenter
The point of concurrency of a triangle's three perpendicular bisectors.
Center of gravity
A point from which the weight of a body or system may be considered to act. In uniform gravity it is the same as the center of mass.
Diagonal
A line segment connecting two non consecutive vertices of a polygon or polyhedron.
Space
An undefined term thought of as the set of all points. This extends infinitely in all directions, so it is three-dimensional.
Equilateral
Equal sides
Section 2
(50 cards)
Cone
A solid or hollow object that tapers from a circular or roughly circular base to a point.
Obtuse Triangle
A triangle with an angle greater than 90 degrees
Central Angle
A central angle is an angle whose vertex is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B thereby subtending an arc between those two points whose angle is (by definition) equal to that of the central angle itself.
Slope Formula
In a two-dimensional coordinate system, the ratio of the vertical change to the horizontal change between two points on a line. Formula: slope: (y2-y1)/(x2-x1)
Adjacent leg (of an acute angle in a right triangle)
The side of the angle that is not the hypotenuse.
Face
a flat surface of a three-dimensional figure.
Semicircle
a half of a circle or of its circumference
Surface area
The total area of the surface of a three-dimensional object.
Inductive Reasoning
The process of observing data, recognizing patterns, and making generalizations about those patterns.
Compass
A technical drawing tool that can be used for transcribing circles or arcs.
Straightedge
A straightedge is a tool with an edge free from curves, or straight, used for transcribing straight lines, or checking the straightness of lines. If it has equally spaced markings along its length it is usually called a ruler.
Midpoint Formula
The point on the line segment that is the same distance from both endpoints. The midpoint bisects the segment. Fromula:[(x1 + x2)/2 , (y1 + y2)/2]
Transversal
A line that cuts across two or more (usually parallel) lines
Opposite leg (of an acute angle in a right triangle)
The side of the triangle that is not a side of the angle.
Area
The measure of the size of the interior of a figure,expressed in square units.
Supplementary Angles
Angles that add to 180 degrees.
Right Triangle
A triangle with a right angle
Isosceles Triangle
A triangle that has two sides the same length
Cylinder
A solid object with: • two identical flat ends that are circular or elliptical • and one curved side.
Arc
An arc (symbol: ⌒) is a closed segment of a differentiable curve. A common example in the plane (a two-dimensional manifold), is a segment of a circle called a circular arc.
Corresponding Angles
The angles in matching corners that are created when two lines are crossed by another line (which is called the Transversal).
Concentric Circles
Circles that share the same center.
Cube
A symmetrical three-dimensional shape, either solid or hollow, contained by six equal squares.
Consecutive (angles, sides, or vertices of a polygon)
Two angles that share a common side, two sides that share a common vertex, or two vertices that are the endpoints of one side. Consecutive sides are also called adjacent sides.
Obtuse angle
An angle that measures more than 90 degrees but less than 180 degrees.
Bilateral Symmetry
Body plan in which only a single, imaginary line can divide the body into two equal halves.
Undefined term
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane.
Tangent Line of a Circle
A line which touches a circle or ellipse at just one point
Radius
A line segment from the center of a circle or sphere to a point on the circle or sphere. Also, the length of that line segment.
Perimeter
The length of the boundary of a two dimensional figure. For a polygon, it is the sum of the lengths of its sides.
Minor Arc
An arc of a circle that is less than a semicircle
Sphere
A round solid figure, or its surface, with every point on its surface equidistant from its center.
Concurrent lines
Three or more lines in a plane (or higher-dimensional space)are said to be concurrent if they intersect at a single point.
Counter Example
An example which disproves a proposition
Distance formula
The distance between (x1,y1) and (x2,y2) is equal to square root of (x1-x2) ^2 +(y1-y2)^2
Solid
A 3 dimensional shape .
Tangent
to a plane curve at a given point is the straight line that "just touches" the curve at that point.
Major Arc
An arc of a circle that is greater that a semicircle.
Right angle
An angle of 90°
Edge
the intersection of faces in a three-dimensional figure.
Inscribed
Having each vertex on the circle, such as a triangle inscribed in a circle.
Base
In a polygon: A side of polygon used from reference to determine an altitude or other feature. In a solid: A polygon or circle used for reference to determine an altitude or other feature of the solid, or to classify the solid.
Adjacent Angles
Angles that have a common side and a common vertex .
Pythagorean theorem
The relationship among the lengths of the sides of a right triangle that the sum of the squares of the lengths equals the square of the length of the hypotenuse.
Acute angle
An angle smaller than a right angle (less than 90°).
Point of Tangency
The point of intersection of a tangent line and a circle.
Complementary Angles
Two angles whose sum is 90 degrees.
Conditional statement
(Symbolized by p-->q) Is an if-then statement in which p is a hypothesis and q is a conclusion.
Biconditional Statement
When a conditional statement and its converse are both true.
Diameter
A chord of a circle that contains the center, or the length of that chord.
Section 3
(20 cards)