|
theorem
|
a statement that has been proven based on previous theorems, postulates, or axioms
|
|
collinear
|
points that lie on the same line
|
|
deductive reasoning
|
the process of utilizing facts, properties, definitions, and theorems to form a logical argument
|
|
coplanar
|
contained within the same plane
|
|
postulate
|
a statement accepted without proof; also known as an axiom
|
|
Point
|
Line
|
Plane
|
|
No dimensions
|
One-dimensional set of infinite points
|
Two-dimensional set of all points
|
|
Location on coordinate plane designated by an ordered pair (x/y)
|
Has no beginning or an end
|
Flat or level surface
|
|
Identified with a single capital letter
|
Identified with a lowercase italicized letter or two capital letters representing two points on the line
|
Identified with a capital italicized letter
|
|
line segment
|
a part of a line that has two endpoints and a specific length
|
|
ray
|
part of a line that has one endpoint and extends indefinitely in one direction
|
|
circle
|
the set of all points in a plane that are a given distance away from a given point called the center
|
|
angle
|
a figure formed by two rays that share a common endpoint
|
|
parallel lines
|
lines that lie in the same plane and do not intersect
|
|
perpendicularlines
|
lines that intersect to form right, or 90-degree, angles
|
|
midpoint
|
a point on a line segment that is equidistant from the two endpoints
|
|
protractor
|
tool used to measure an angle in degrees
|
|
bisect
|
to divide into two congruent parts
|
|
congruent segments
|
two line segments that have the same length
|
|
Undefined terms:
|
Point: Points are locations in space. Line: Lines are infinite in two different directions.
|
|
Defined terms:
|
Line segment: A line segment has two endpoints. Ray: Rays have one endpoint. Angle: An angle is formed by two rays with a common endpoint.
|
|
adjacent angles
|
two angles within the same plane that share a common side and vertex, but do not share any common interior points
|
|
congruent angles
|
two angles that have the same measure
|
|
obtuse angle
|
an angle measuring greater than 90 degrees, but less than 180 degrees
|
|
straight angle
|
an angle whose measure is exactly 180 degrees
|
|
acute angle
|
an angle measuring between 0 and 90 degrees
|
|
right angle
|
an angle whose measure is exactly 90 degrees
|
|
conjecture
|
a statement thought to be true but not yet proved true or false
|
|
deductive reasoning
|
the process of utilizing facts, properties, definitions, and theorems to form a logical argument
|
|
reflexive property
|
the property that states that for any real number 𝑥, 𝑥 = 𝑥; or that a figure and its parts (e.g., sides, angles, triangles, etc.) are congruent to themselves
|
|
substitution property
|
the property stating that if two values are equal, then they are interchangeable in an equation; or if two figures are congruent, then they are interchangeable in a statement
|
|
symmetric property
|
thepropertythatstatesthattheleftandright sides of an equation or congruence statement are interchangeable
|
|
Proofs involve:
|
given information, in words or a diagram, a statement to be proven, an argument using deductive reasoning and justification of steps in a logical order. A conclusion
|
|
linear pair
|
2 adjacentangles whose noncommon sides are opposite rays
|
|
vertical angles
|
opposite angles formed by two intersecting lines
|
|
opposite rays
|
ays that are collinear and have the same endpoint but run infinitely in opposite directions
|
|
supplementary angles
|
two angles whose measures have a sum of 180 degrees
|
|
complementary angles
|
angles are two angles whose measures have a sum of 90 degrees
|
No comments yet.
Cheatography n. The art of mapping complex subjects into clear, instantly navigable reference guides.
