always
Two points lie in exactly one line.
sometimes
Three points lie in exactly one line.
never
Three collinear points lie in exactly one plane.
never
Two interescting planes intersect in a segment.
sometimes
Three points determine a plane.
always
Two intersecting lines determine a plane.
sometimes
Two non-intersecting lines determine a plane.
always
Three points are _____ coplanar.
line
Through any two points there is exactly one____
plane
Through any three non-collinear points, there is exactly one____
line
If two points lie in a plane, then the____containing these two points lie entierely in the plane.
point
If two lines intersect, then their intersection is exactly one___
plane
Given a line and a point that is NOT on that line, there is exactly one___which contains both the point and the line
plane
If two lines intersect, there is exactly one___which contains the two lines.
false
A given triangle can lie in more than one plane
true
any two points are collinear
false
two planes can intersect in only one point
false
two lines can intersect in two points
ruler postulate
points of a line can be put into a one-to-one correspondence with the set of real numbers so that no two points are paired with the same coordinate.
segment addition postulate (definition of between)
If R is between S and I, then SR + RI = SI
congruent segments
segments that are equal in length
segment bisector
a segment, line or ray that intersects a segment at its midpoint
midpoint
a point that divides a segment into 2 congruent segments
ray
set of points with one endpoint continuing in one direction forever
opposite rays
2 rays that have the same endpoint and go in opposite directions to form a line.
probability
the # of favorable outcomes over the total # of possible outcomes (desired length over whole length)
intuition
conclusion is based on insight
induction
conclusion is reached from past observations
deduction
conclusion is drawn logically from given information (facts)/accepted truths
conditional statement
a statement that can be written in if, then form. (if p then q)
hypothesis
this is the part of the sentence that follows the word "If...
conclusion
this is the part of the sentence that follows the word "then...
converse
q--->p
inverse
~p--->~q, is formed by negating the hypothesis and negating the conclusion of the original statement.
contrapositive
~q--->~p, is formed by negating both the hypothesis and the conclusion, and then interchanging the resulting negations. (It does both jobs on the INVERSE and the CONVERSE)