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24 Cards in this Set

  • Front
  • Back
1. Undefined terms
Point, line and plane are considered undefined terms because they are explained using examples and descriptions.
9. opposite rays
two rays that share a common endpoint and contiue in opposite directions on the same line
10. perpendicular lines
The two lines interesect to form 4 right (90 degree) angles.

The slopes of perpendicular lines are opposite reciprocals of one another.
Ex: 2 and -1/2
15. Intersection
The SHARED point(s) of two or more shapes
16. Union of two geometric figures
The set of points that are in EITHER figure.
23. vertical angles
The nonadjacent angles formed by two intersecting lines.

In other words, the opposite angles in an X.

They are always congruent to each other.
24. adjacent angles
Two angles that share a common side and a common endpoint but no common interior points.

In other words, two angles touching right next to each other.
25. supplementary angles
Two angles whose sum is 180 degrees. (They do not have to be adjacent)
26. complementary angles
Two angles whose sum is 90 degrees. (They do not have to be adjacent)
27. Inductive Reasoning
Reasoning that uses specific examples to arrive at a prediction.
28. Conjecture
An educated guess based on known information.
29. Counterexample
A false example to a conjecture.
30. Deductive Reasoning
The use of facts, rules, definitions or properties to reach logical conclusions.
31. Postulates
A statement that describes a basic relationship between geometric terms. Accepted as true without proof.
32. Theorem
A conjecture that is shown to be true.
33. Conditional statement
if-then statements
p implies q
34. hypothesis
The initial condition of a conditional statement.
The phrase following "if" in an if-then statement.
35. conclusion
The result of a conditional statement.
The phrase following "then" in an if-then statement.
36. Converse statement
original statement
p implies q
converse statement
q implies p
37. inverse statement
original statement
p implies q
inverse statement
not p implies not q
38. contrapositive statement
original statement
p implies q
contrapositive statement
not q implies not p
39. Biconditional statement
The conjunction of a true conditional statement and its converse
p if and only if q
distance formula
Given two points
midpoint formula
Given two points