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Ch 2 Geometry

Ch 2 Terms and Conjectures

QuestionAnswer
What is the name of two angles that form a line and add up to 180 degrees? linear pair
At the intersection of two lines, which two angles are congruent? vertical angles
When corresponding angles are congruent, what is known about the two lines cut by a transversal? parallel
Name the three kinds of angles that are congruent when two parallel lines are cut by a transversal. corresponding, alternate interior, alternate exterior
If two parallel lines are cut by a transversal, which pair of angles are between the parallel lines and on opposite sides of the transversal? alternate interior angles
If two parallel lines are cut by a transversal, which pair of angles are outside the parallel lines and on opposite sides of the transversal? alternate exterior angles
When alternate interior angles are congruent, what is known about the two lines cut by a transversal? parallel
When alternate exterior angles are congruent, what is known about the two lines cut by a transversal? parallel
What are the three steps of inductive reasoning? observing data, recognizing patterns, making conjectures about those patterns
What is a generalization made by inductive reasoning? conjecture
What is the name of the rule that gives the nth term for a sequence? function rule
What is a function rule that generates a sequence with a constant difference or constant slope? linear function
What is a set of numbers that can be arranged in a pattern of triangular dots? triangular numbers
What is a set of numbers that can be arranged in a pattern of rectangular dots? rectangular numbers
What is the process of showing that certain statements follow logically from agreed-upon assumptions and proven facts? deductive reasoning
What is the line that intersects two or more other lines in a plane? transversal
What can be used to prove a function rule or generalization is false? counterexample
What is created when the "if" and "then" parts of an "if-then" statement are switched? converse