Patterns/Inductive Reasoning
Points, Lines, & Planes
Segments, Rays, Parallel Lines & Planes
Postulates
Angles
100
Reasoning based on patterns you observe.
What is inductive reasoning?
100
A location.
What is a point?
100
Part of a line consisting of two endpoints and all points between them.
What is a segment?
100
From postulate 1-1, we know that through any two points, exactly one of these passess through.
What is a line?
100
This angle is greater that 0 degrees but is less than 90 degrees.
What is an acute angle?
200
A conclusion you reach using inductive reasoning.
What is a conjecture?
200
The set of all points.
What is space?
200
The part of a line consisting of one endpoint and all the points of the line on one side of the endpoint.
What is a ray?
200
From postulate 1-2, we know that if two lines intersect, they intersect at this.
What is exactly one point.
200
This angle measures exactly 90 degrees.
What is a right angle?
300
A ____________ to a conjecture is an example for which the conjecture is incorrect.
What is a counterexample?
300
A series of points that extends in two opposite directions without end.
What is a line?
300
Two collinear rays with the same endpoint.
What are opposite rays?
300
From postulate 1-3, we know that if two planes intersect, they intersect in this.
What is exactly one line?
300
These are angles with the same measure
What are congruent angles?
400
Numbers that are only divisible by 1 and the number itself.
What are prime numbers.
400
Points and lines in the same plane.
What is coplanar?
400
Coplanar lines that do not intersect.
What are parallel lines?
400
Through any three noncollinear points, there is exactly one of these.
What is one plane?
400
Two angles whose sum is 90 degrees
What are complementary angles?
500
The number in the Fibonacci sequence that follows 13. (Hint: 1,1,2,3,5,8,13)
What is 21?
500
An accepted statement as fact.
What is an axiom or a postulate?
500
These lines are not parallel and will never intersect.
What are skew lines?
500
Another name for postulate 1-5. This postulate states that the points of a line can be put into one-to-one correspondence with real numbers so that the distance between any two points is the absolute value of the difference of the corresponding numbers.
What is the ruler postulate?
500
Two angles whose sum is 180 degrees.
What are supplementary angles?