Download Geometry Mid Year Topics

GEOMETRY MIDYEAR TOPICS LIST
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Negation
Conjunction and Disjunction
Truth Tables
Conditionals and Biconditionals
DeMorgan’s Law
Inverses, Converses, and Contrapositives
Modus Tollens
Law of Disjunctive Inference, Law of Conjunction, Law of Detachment
Law of Syllogism
Logic Proofs (Direct and Indirect)
Defined and Undefined terms
Point, Line, Plane, Collinear, and Coplanar
Segment Addition and Subtraction Postulates
Right Angles, Linear Pair, Adjacent Angles, and Vertical Angles
Angle Addition and Subtraction Postulates
Addition, Subtraction, Multiplication, and Division Properties
Reflexive, Symmetric, Transitive
Midpoints
Angle Bisectors
Halves and Doubles Proofs
Complements and Supplements of Angles
Proofs using Angle Theorems (complementary, supplementary, right,
and vertical)
Parallel lines, Skew lines, Transversals
Corresponding and Alternate Interior Angles
Same-side interior angles of parallel lines are supplementary, a line
perpendicular to one of two parallel lines is perpendicular to the other,
and two lines perpendicular to the same line are parallel
Parallel Postulate
Proofs with Parallel Lines
Angle Sum Theorem and its corollaries (AA congruent to AA 3rd pair of
angles congruent, each angle of an equilateral triangle measures 60, a
triangle can have at most one right or one obtuse angle, and the acute
angles of a right triangle are complementary)
Names of Polygons
Convex, Concave
Regular
Interior Angle Sum of Polygons
Exterior Angle Sum of Polygons
Each Interior and Exterior Angle of Regular Polygons
Congruent Polygons
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SSS Postulate, SAS Postulate, ASA Postulate
CPCTC
Proving Triangles Congruent
Isosceles Triangle Theorem and Converse
Equilateral Triangles are Equiangular
AAS Theorem
Hypotenuse Leg Theorem
Proofs with Overlapping Triangles and Double Triangles
Exterior Angle Theorem
Angle Bisector Theorem (and converse)
Perpendicular Bisector Theorem (and converse)
Median, Altitude, and Angle Bisector and their Points of Concurrency
Centroid of a triangle divides the medians into a ratio of 2 to 1, the
longest near the vertex.
Proofs using Isosceles Triangle and Equidistance Theorems
Properties of Inequality (addition, subtraction, multiplication, and
division)
Transitivity and Trichotomy Properties of Inequality
Exterior Angle Inequality Theorem
The larger angle is opposite the longer side (and converse)
Triangle Inequality
Inequality Proofs and Applications
Parallelograms and their Properties
Proofs using the Properties of Parallelograms
Methods of Proving a Quadrilateral is a Parallelogram
Proving a Quadrilateral is a Parallelogram
Parallel lines cut congruent segments on a transversal
Line joining the midpoints of 2 sides of a triangle (and converse)
Special Parallelograms (Rectangle, Rhombus, and Square)
Trapezoid
Kite