Geometry

## 1. Introduction to Geometry

Unit Preview , Definitions - Geometry , Line and Angle Relationships , Triangles , Definitions of Figures

## 2. Construction

Unit Preview , Duplicating Segments and Angles , Constructing Perpendicular Bisectors , Constructing Perpendiculars , Constructing Angle Bisectors , Constructing Parallel Lines , Constructing Points of Concurrency , The Centroid

## 3. Triangles

Unit Preview , Triangles Sum Conjecture , Properties of Isosceles Triangles , Triangle Inequalities , SSS and SAS Congruencies , ASA Congruencies , AAS and HL Congruencies

## 4. Polygons and Their Properties

Unit Preview , Polygon Sum Conjecture , Exterior Angles of a Polygon , Kites and Trapezoids , Midsegments , Parallelograms , Proportions with Area and Volume

## 5. Transformations and Tessellations

Unit Preview , Transformations , Properties of Isometrics , Symmetry , Tessellations with Polygons , Tessellations Using Translations, Rotations, and Glide Reflections

## 6. Circles

Unit Preview , Definition - Circles , Chord Properties , Tangent Properties , Arcs and Angles , Circumference/Diameter Ratio , Arc Length

## 7. Area and Volume

Unit Preview , Areas of Rectangles and Parallelograms , Areas of Triangles, Trapezoids and Kites , Areas of Regular Polygons , Areas of Circles , Surface Area , Polyhedrons, Prisms and Pyramids , Solids with Curved Surfaces , Cylinders , Cones

## 8. Pythagorean Theorem

Unit Preview , The Theorem of Pythagoras , Converse , Special Right Triangles , Distance Calculations , Similar Triangles , Indirect Measurement with Similar Triangles , Corresponding Parts

## 9. Deductive Reasoning

Unit Preview , Symbols of Logic , Modus Tollens, Negation, Law of Syllogism , Law of Contraposition , Direct Proofs , Conditional Proof , Indirect Proof

## 10. Inductive Reasoning

Unit Preview , Definition , Number and Picture Patterns , Finding the nth Term , Mathematical Modeling

## 11. Geometric Proof

Unit Preview , Postulates of Geometry , Geometric Proofs , Proving Angle Conjectures , Parallelograms and Parallel Lines Related Proofs

## 12. Texas Summary Assessment Geometry [STAAR PREP]

Texas TEKS Summary Assessment Geometry