two lines that are not coplanar and do not intersect
skew
a line that intersects two or more coplanar lines at two or more distinct points is called transversal
if the two posts which are represented by line c and d, respectively, are parallel, what do you call the strong cable which is represented by line am?
transversal
what postulate states that "if there is a line and a point not on the line, then there is exactly one line through the point that is paraller to the given line" ?
parallel postulates
two nonadjacent interior angles on opposite sides of the transversal are called?
Alternate interior angles
what postulate states that "if two parallel lines are cut by a transversal, then any pair of alternate interior angles are congruent." ?
parallel-alternate interior angle postulate
what do you call the two nonadjacent exterior angles on opposite sides of the transversal?
Alternate exterior angles
what theorem states that "if two parallel lines are cut by a transversal, then any pair of alternate exterior angles are congruent" ?
parallel-alternate exterior angle theorem
two nonadjacent angles, one interior, and one exterior on the same side of the transversal are called?
corresponding angles
what theorem states that "if two parallel lines are cut by a transversal, then the corresponding angles are congruent." ?
parallel-corresponding angles theorem
what do you call the nonadjacent angles formed by two intersecting lines?
Vertical angles
what theorem states that "vertical angles are congruent" ?
vertical angle theorem
what theorem states that "if two parallel lines are cut by a transversal, then the interior angles on the same side of the transversal are supplementary." ?
Parallel-Interior Angle-Same Side Theorem
what theorem states that "if two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary." ?
Parallel-Exterior Angle-Same Side Theorem
measure of each angle below:
1.
2.
3.
4.
86 degrees
94 degrees
94 degrees
86 degrees
what do you call the two angles with the same measure?
congruent angles
what do you call the two angles whose sum is 180 degrees?
supplementary angles
list down the angles in decreasing order:
angle I, angle T, angle H
what theorem is stated in the picture?
triangle inequality theorem 1
x= 115 degrees
what theorem is stated in the picture?
exterior angle theorem
what theorem is stated in the picture?
triangle inequality theorem 3
what theorem is stated in the picture?
hinge theorem(sas inequality theorem)
what theorem is stated in the picture?
converse of hinge theorem(sss inequality theorem)
refers to an event which has to happen
certain
refers to the "likelihood" that something will happen
chance
events in which one event affects the outcome of another
dependent events
small cubes which faces are marked with dots of 1,2,3,4,5 and 6 in each of the six faces
die
evnts that have the same probability of occuring
equally likely events
refers to a result satisfying some given conditions. it is any set of one or more outcome
event
refers to a chance process that leads to a well-defined results called outcomes.
experiment
probability of an outcome of an event based on an experiment.
experimental probability
states that we can figure out the total number of ways different events can occur by multiplying the number of events or each task that can happen.
fundamental counting principle
refers to an event which will never happen
impossible
two events which do not affect each other
independent events
result of a single trial of a probability experiment