Geometry A
(Units: 0.5)

Geometry consists of the study of geometric figures of zero, one, two, and three dimensions and the relationships among them. Students study properties and relationships having to do with size, shape, location, direction, and orientation of these figures.

This course meets TEKS requirements for one semester of high school Geometry.

Course Overview

Unit 1: Language of Geometry

Points, Lines, and Planes 
The Coordinate Plane
Points and Lines
Planes
Problem Solving

Measurements 
Distance on a Number Line
The Distance Formula
Midpoint of a Segment
Congruent Segments

Angles
Measures of Angles
Angles 
Classifying Angles
Congruent Angles
Pairs of Angles
Perpendicular Lines

Unit 2: Logic and Proof 

Inductive and Deductive Reasoning 
Inductive Reasoning
If-Then Statements
Converses
Postulates
Deductive Reasoning

Problem Solving 
Properties from Algebra
Proof Using Properties of Equality
Problem Solving

Two-Column Proof 
Proofs with Segments
Proofs with Angles
More Proofs

Unit 3: Parallel Lines and Planes 

Diagrams and Relationships 
Problem Solving
Parallels
Transversals

Angles and Parallel Lines 
Angles Formed by Parallel Lines
More Angles
Proving Lines Parallel

Slope and Distance 
Slope of a Line
Parallel and Perpendicular Lines
Distance Between Parallel Lines

Unit 4: Congruent Triangles

Angles and Triangles 
Classifying Triangles
Sum of Angle Measure
Exterior Angles

Proving Triangles Congruent 
Congruent Triangles
Parts of Congruent Triangles
Tests for Congruence
Another Test

Solving Triangle Problems 
Problem Solving
Isosceles Triangles
Equilateral Triangles

Unit 5: Triangles and Inequalities 

Special Segments in Triangles 
Medians and Altitudes
Angle Bisectors
Perpendicular Bisectors

Right Triangles 
Congruent Right Triangles
Problem Solving
Indirect Proof of Inequality

Inequalities 
Inequalities in a Triangle
Triangle Inequality Theorem
Inequalities in Two Triangles

Unit 6: Quadrilaterals 

Parallelograms 
Properties of a Parallelogram
Tests for Parallelograms

Problem Solving and Rectangles 
Problem Solving
Rectangles

More Quadrilaterals 
Rhombi
Squares
Trapezoids

Materials: None
Credit Hours: 5 hours - 1/2 Unit
Price: $325 per student per semester

TxVSN and NCAA Authorized