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Chapter 1
Point
Line
Plane
Space
Collinear Points
Coplanar Points
Intersection
Segment
Ray
opposite Rays
Length
Postulate 1 – Ruler Postulate
(1&2)
Postulate 2 – Segment Addition
Postulate
congruent
congruent segments
segment midpoint
segment bisector
angle
sides
vertex
Acute
right
obtuse
straight angle
Postulate 3 – Protractor
Postulate (2)
Postulate 4 – Angle Addition
Postulate(2)
Congruent angles
adjacent angles
angle bisector
Postulates 5-6-7-8-9
definition of “theorem”
Theorems 1-1, 1-2, 1-3
Chapter 2
if-then statements, conditionals
hypothesis
conclusion
converse
counterexample
biconditional
Properties of equality: addition,
subtraction,
multiplication, division,
substitution, reflexive,
symmetric, transitive
Properties of congruence:
reflexive, symmetric,
transitive
TRIMESTER 1
distributive
Theorem 2-1 Midpoint Theorem
Theorem 2-2 Angle Bisector
Theorem
deductive reasoning
BOX: REASONS USED IN
PROOFS (4)
complementary
supplementary
vertical
Theorem 2-3
perpendicular lines
Theorems 2-4, 2-5, 2-6
Theorems 2-7, 2-8
Chapter 3
parallel lines
skew lines
parallel planes
line parallel to plane
Theorem 3-1
transversal
alternate interior angles
same-side interior angles
corresponding angles
Postulate 10
Theorems 3-2, 3-3, 3-4
Postulates 11
Theorems 3-5, 3-6, 3-7, 3-8, 3-9,
3-10
BOX: WAYS TO PROVE
LINES PARALLEL (5)
triangle
vertex
sides
scalene
isosceles
equilateral
acute
obtuse
right
equiangular
Theorem 3-11
definition of corollary
auxiliary line
Corollary 1, 2, 3, 4
Theorem 3-12
Polygon (2)
convex
diagonal
Theorems 3-13, 3-14
regular
inductive reasoning
BOX:DEDUCTIVE vs
INDUCTIVE
Chapter 4
congruent
Postulate 12-SSS
Postulate 13-SAS
Postulate 14-ASA
Line and plane perpendicular
BOX: WAYS TO PROVE 2
SEGMENTS/ANGLES
CONGRUENT(3)
LEGS
BASE
Theorem 4-1 Isosceles Triangle
Theorem
Corollaries 1,2,3
Theorem 4-2 (converse of 4-1)
Corollary
Theorem 4-3 AAS
hypotenuse
legs
Theorem 4-4 HL
median
altitude
perpendicular bisector
Theorem 4-5, 4-6
distance from point to line
Theorem 4-7, 4-8
10