Points, Lines, and Planes
whats a straight path of points with no thickness
a line
What is a segment bisector?
A line segment that divides another segment into two equal parts.
What is a conjecture?
An educated guess based on observed patterns.
what is a conditional statement
A statement with a hypothesis and a conclusion
What is deductive reasoning?
Using general rules to make a specific conclusion
whats a plane
A plane is a flat surface made up of points that
extends infinitely in all directions.
What is the midpoint?
The point that divides a segment into two congruent parts.
What is a counterexample?
A false example that proves a conjecture is not true.
What is the if-then form
if p, then q
If you know “If P then Q” is true and you also know P is true, this rule lets you conclude Q
Law of Detachment
What is a ray?
A part of a line with one endpoint and extending infinitely in one direction.
What is a chord?
A segment whose endpoints lie on a circle.
What is inductive reasoning?
A method of reasoning based on looking for patterns and making predictions.
What is a biconditional?
A statement that is true when both the conditional and its converse are true.
What is a theorem?
A statement that has been proven using definitions, postulates, and previously proved statements.
What are parallel lines?
Lines in the same plane that do not intersect.
What is a diagonal?
A segment that connects two non-adjacent vertices of a polygon.
True or False: A single counterexample can disprove a conjecture.
true
What is the converse?
a statement formed by switching the hypothesis and conclusion.
What is a two-column proof?
A proof format with one column for numbered statements and a second column for the reason or justification for each statement.
What are skew lines?
Lines that do not intersect and are not in the same plane.
What is the Pythagorean Theorem?
The formula for the length of a segment on the coordinate plane is based on this theorem.
What is inductive reasoning?
The process of testing many cases to support a conjecture but not prove it.
What is the inverse?
The statement formed by negating both the hypothesis and the conclusion.
What is an indirect proof
A proof method that assumes the opposite of what you want to prove