Geometry final honors

Point

A location in geometry that has neither size nor shape.

Line

A one-dimensional figure made up of points that has no thickness or width.

Plane

A flat two-dimensional surface made up of points that has no depth and extends indefinitely in all directions.

Collinear points

Points that lie on the same line.

Noncollinear points

Points that do not lie on the same line.

Coplanar points

Points that lie in the same plane.

Noncoplanar points

Points that do not lie in the same plane.

Intersection

The set of points that two or more geometric figures have in common.

Space

A boundless three-dimensional set of all points.

Locus

The set of points that satisfy a particular condition.

Line segment

A measurable part of a line consisting of two endpoints and all points between them.

Congruent segments

Segments that have the same measure.

Distance

The length of the segment with two given points as its endpoints.

Midpoint

The point halfway between the endpoints of a segment.

Ray

A part of a line that has one endpoint and extends indefinitely in one direction.

Angle

Formed by two noncollinear rays that share a common endpoint called the vertex.

Inductive reasoning

Reasoning that uses specific examples to arrive at a generalization.

Conjecture

An educated guess based on known information.

Truth value

The truth or falsity of a statement.

Negation

The negation of a statement p is represented as not p.

Compound statement

A statement formed by joining two or more statements.

Conjunction

A compound statement formed by joining statements with the word 'and'.

Disjunction

A compound statement formed by joining statements with the word 'or'.

Conditional statement

A statement that can be written in 'if-then' form.

Hypothesis

The statement that immediately follows the word 'if' in a conditional statement.

Conclusion

The statement that immediately follows the word 'then' in a conditional statement.

Converse

The statement formed by exchanging the hypothesis and conclusion of a conditional statement.

Logically equivalent

Statements that have the same truth values.

Valid

Logically correct.

Proof

A logical argument in which each statement is supported by a true statement.

Theorem

A statement that can be proven true using definitions and postulates.

Parallel lines

Coplanar lines that do not intersect.

Transversal

A line that intersects two or more coplanar lines at two different points.

Interior angles

Angles that lie between two lines that intersect the same transversal.

Corresponding angles

Angles that lie on the same side of the transversal and on the same side of the two lines cut by the transversal.

Slope of a line

The ratio of the change along the y-axis to the change along the x-axis between two points on the line.

Hinge Theorem

If two sides of a triangle are congruent to two sides of another triangle, and the included angle of the first is larger, then the third side of the first triangle is longer.