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Exam 1 Study Guide
Chapter 2 Incidence Geometry
Terms
Undefined Terms
Axioms
Postulates
Theorems
Propositions
Conditional Statements
Converse
Contrapositive
Intersect
Parallel
Postulates/Theorems
The three incidence axioms
The three parallel postulates
Activities
Provide examples and
counterexamples for claims about
incidence geometries.
Negate conditionals or change them
into the converse or contrapositive.
Prove or disprove properties of
incidence geometries.
Chapter 3 (Sections 3.1-3.4) Plane Geometry
Terms
The undefined terms
for plane geometry
Parallel
Collinear
Betweenness for Points
Segments
Rays
Metric
Coordinate function
Midpoint
Convex
Opposite Rays
Interior of an Angle
Betweenness for Rays
Triangle
Angle Bisector
Postulates/Theorems
Existence Postulate
Incidence Postulate
Uniqueness of Intersection of
two lines
Ruler Postulate
Properties of a metric
Ruler Placement Postulate
Betweenness Theorem for
Points and its corollaries
Point Construction Postulate
Plane Separation Postulate
Ray Theorem
Pasch’s Axiom
Protractor Postulate
Betweenness Theorem for
Rays
Activities
Show that a formula for distance is a
metric.
Show that a function is a coordinate
function.
Find the coordinate function given a
particular line and metric.
Prove existence and uniqueness.
Prove elementary relationships
between points, lines, rays, and
angles.
Evaluate proofs.