This textbook provides a full and complete axiomatic development of
exactly that part of plane Euclidean geometry that forms the
standard content of high school geometry. It begins with a set of
points, a measure of distance between pairs of points and ten
simple axioms. From there the notions of length, area and angle
measure, along with congruence and similarity, are carefully
defined and their properties proven as theorems. It concludes with
a proof of the consistency of the axioms used and a full
description of their models. It is provided in guided inquiry
(inquiry-based) format with the intention that students will be
active learners, proving the theorems and presenting their proofs
to their class with the instructor as a mentor and a guide. The
book is written for graduate and advanced undergraduate students
interested in teaching secondary school mathematics, for pure math
majors interested in learning about the foundations of geometry,
for faculty preparing future secondary school teachers and as a
reference for any professional mathematician. It is written with
the hope of anchoring K-12 geometry in solid modern mathematics,
thereby fortifying the teaching of secondary and tertiary geometry
with a deep understanding of the subject.
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