Geometry 1A

Geometry, Semester 1.

Recommended Number of Credits: ​5- (equivalent to one semester)

1. Intro to Basic Geometry
        1.1 Points, Lines, and Planes
        1.2 Measuring Segments
        1.3 Using Midpoint and Distance Formulas
        1.4 Perimeter and Area in the Coordinate Plane
        1.5 Measuring Angles
        1.6 Pairs of Angles
2.  Reasoning & Proofs
        2.1 Deductive vs. Inductive Reasoning
        2.2 Conditional Statements
        2.3 Point, Line, & Plane Postulates
        2.4 Reflexive, Symmetric, & Transitive Properties
        2.5 Different Types of Proofs
        2.6 Indirect Proofs
3.  Parallel Lines, Perpendicular Lines, Transversals, & Angles
        3.1 Types & Parts of Angles
        3.2 Angle Relationships
        3.3 Parallel Lines & Transversals
        3.4 Parallel & Perpendicular Lines
4. Transformations
        4.1 Translations
        4.2 Reflections
        4.3 Rotations
        4.4 Dilations
        4.5 Compositions of Transformations
5.  Congruent Triangles
        5.1 Definition of Congruent Figures
        5.2 Proving Triangles Congruent by SSS & SAS
        5.3 Proving Triangles Congruent by ASA, AAS, & HL
        5.4 CPCTC (Corresponding Parts of Congruent Triangles are Congruent)
        ​5.5 Isosceles and Equilateral Triangles
6. Triangles
        6.1 The Triangle Midsegment Theorem
        6.2 The Circumcenter - Perpendicular Bisectors of a Triangle
        6.3 Angle Bisectors
        6.4 The Incenter- Bisectors in Triangles
        6.5 The Centroid- Medians of Triangles
        6.6 The Orthocenter - Altitudes of Triangles
        6.7 Inequalities in One Triangle
        6.8 Inequalities in Two Triangles