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Geometry Flashcards Lessons 1-11
Basic Geometry Definitions
47
Mathematics
10th Grade
09/26/2019

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Term
Construct
Definition
use a compass and straight-edge to precisely make what you are asked.
Term
Line Segment
Definition
The set of points including A, B and all points on the line AB between A and B.
Term
Radius
Definition
A segment from the center of a circle to a point on the circle.
Term
Circle
Definition
Given a point C in the plane and a number r > 0, the circle with center C and radius r is the set of all points in the plane that are distance r from point C.
Term
Equilateral
Definition
All sides are equal.
Term
Equiangular
Definition
All angles are equal.
Term
Collinear
Definition
3 or more points which are all on the same line.
Term
Non-collinear
Definition
3 or more points which are NOT all on the same line.
Term
Plane
Definition
Every plane can be determined by three noncollinear points.
Term
Figure
Definition
A [two-dimensional] figure is a set of points in the plane [examples include triangle, square, rectangle, etc...]
Term
Length of a Segment
Definition
The length of AB is the distance from A to B and is denoted as AB or dist(A,B).
Term
Coordinate System on a Line
Definition
Given a line l, a coordinate system on l is a correspondence between the points on the line and the real numbers.
Term
Regular Hexagon
Definition
a six sided figure which is equilateral and equiangular.
Term
Angle
Definition
The union of two non-collinear rays with the same endpoint.
Term
Interior of an Angle
Definition
The smaller region inside of an angle
Term
Angle Bisector
Definition
If C is in the interior of angle AOB, and the measure of angle AOC = the measure of angle COB then OC bisects angle AOB and is called the angle bisector.
Term
Bisect
Definition
Split into two equal pieces.
Term
Intersect
Definition
Just split at any old place.
Term
Adjacent Angles
Definition
angles that share a side [so they are right next to each other.]
Term
Complementary Angles
Definition
Two angles that add up to 90 degrees.
Term
Supplementary Angles
Definition
Two angles that add up to 180 degrees.
Term
Linear Pair
Definition
Two adjacent angles that together form a straight line.
Term
Midpoint
Definition
A point B is called a midpoint of AC if B is between A and C, and AB = BC
Term
Degree
Definition
Subdivide the length around a circle into 360 little arcs of equal length. A central angle for any of these arcs is called a one-degree angle and is said to have the measure of 1 degree.
Term
Zero Angle
Definition
a ray that measures 0 degrees.
Term
Straight Angle
Definition
a line that measures 180 degrees.
Term
Perpendicular
Definition
Two lines intersect at a 90 degree angle.
Term
Perpendicular Bisector
Definition
a line, ray, or line segment that intersects the midpoint of a line segment at a 90 degree angle.
Term
Right Angle
Definition
An angle that measures 90 degrees
Term
Equidistant
Definition
A point A is said to be equidistant from two different points B and C if AB = AC.
Term
Circumcenter of a Triangle
Definition
the point where the three perpendicular bisectors of the sides of a triangle meet. [obtuse: outside the triangle, acute: inside, right: on the hypotenuse]
Term
Incenter of a Triangle
Definition
the point where the three angle bisectors of the angles of a triangle meet. [always inside the triangle]
Term
Points of Concurrence
Definition
a point where three or more lines intersect at the same point [examples: circumcenter, incenter, etc...]
Term
Inscribed
Definition
Just barely inside of touching the inner walls.
Term
Circumscribed
Definition
Just barely big enough to hold the other shape inside of it.
Term
Vertical Angles
Definition
angles across from each other at an intersection
Term
Transversal
Definition
A line that intersects two or more other lines at distinct points.
Term
Auxilliary Line
Definition
a line that you draw in yourself in order to make a question easier to figure out.
Term
Substitution Property of Equality
Definition
You can replace anything with a thing that it is equal to.
Term
Subtraction Property of Equality
Definition
It’s ok to subtract the same amount on both sides of an equation.
Term
Addition Property of Equality
Definition
It’s ok to add the same amount on both sides of an equation.
Term
Multiplication Property of Equality
Definition
It’s ok to multiply the same amount on both sides of an equation.
Term
Division Property of Equality
Definition
It’s ok to divide by the same amount on both sides of an equation.
Term
Transitive Property of Equality
Definition
if a=b and b=c then a=c. This is a very specific version of the Substitution property.
Term
Commutative Property of Addition
Definition
When objects are added together, it doesn’t matter what order you add them.
Term
Proof
Definition
a detailed explanation of how a statement follows logically from other statements already accepted as true.
Term
Theorem
Definition
a mathematical statement with a proof.
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