point
a specific location. it has no dimension and is represented by a dot
line
a connected straight path. it has no thinkness and continues forever in both directions
plane
a flat surface. it has no thickness and extends forever in all directions
segment
portion of a line consisting of two points and all points between them
endpoints
point(s) on the end
ray
a portion of a line that starts at a point and continues forever in one direction
coplanar
points that lie on the same plane
parallel
lines that lie in the same plane but do not interect
collinear
points that lie on the same line
postulate
a statement that is accepted as true without proof
midpoint
the point that divides a segment into two segments that have the same length
segment bisector
a line, ray or other figure that passes through the midpoint of a segment
sketch
freehand
draw
using the tools of measurement - a ruler and protractor
costruct
using the tools of construction - a straight edge and compass
angle
a figure formed by two rays with the same endpoint
vertex
the common endpoint of two rays in one angle
sides
the rays of an angle
degrees
a measurement unit for circular arcs
angle bisector
a ray that divides an agnle into two angles that both have the same measure
transformation
a function that changes the position, shape, and/or size of a figure
translation
slide
reflection
fold
roation
rotate
preimage
a figure that is used as the imput of a transformation
image
a figure that is the output of a transformation
prime notation
name the image of a point. Example: B a B read as "B prime"
mapping
another name for transformation. transformation T maps A to A prime
coordinate plane
one way to write a rule for a transformation on a coordinate plane
rigid motion
a transformation that changes the position of a figure without changing the size or shape of the figure
conjecture
a statement that is believed to be true
inductive reasoning
process of reasoning that a rule or statement may be true by looking at specific cases
deductive reasoning
process of using logic to prove whether all cases are true
theorem
a statement that you can prove is true by using a series of logical steps
counterexample
an example that shows a conjecture to be false
conditional statement
a statement that can be written in the form "If p, then q." where p is the hypthesis and q is the conclusion
linear pair
a pair of adjacent angles whole noncommon sides are opposite rays