## Geometry CPS Curriculum

**Chapter 1: Tools of Geometry**- Nets and Drawings for Visualizing Geometry
- Points, Lines and Planes
- Measuring Segments
- Measuring Angles
- Exploring Angle Pairs
- Basic Constructions
- Midpoint and Distance in the Coordinate Plane

**Chapter 3: Parallel and Perpendicular Lines**- Lines and Angles
- Properties of Parallel Lines
- Proving Lines Parallel
- Parallel and Perpendicular Lines
- Parallel Lines and Triangles
- Equations of Lines in the Coordinate Plane
- Slopes or Parallel and Perpendicular Lines

**Chapter 4: Congruent Triangles**- Congruent Figures
- Triangle Congruence by SSS and SAS
- Triangle Congruence by ASA and AAS
- Using Corresponding Parts of Congruent Triangles
- Isosceles and Equilateral Triangles
- Congruence in Right Triangles
- Congruence in Overlapping Triangles

**Chapter 5: Relationships Within Triangles**- Midsegments of Triangles
- Inequalities in One Triangle
- Inequalities in Two Triangles

**Chapter 6: Polygons and Quadrilaterals**- The Polygon Angle-Sum Theorems
- Properties of Parallelograms
- Proving That a Quadrilateral Is a Parallelogram
- Properties of Rhombuses, Rectangles and Squares
- Conditions for Rhombuses, Rectangles, and Squares
- Trapezoids and Kites
- Polygons in the Coordinate Plane
- Applying Coordinate Geometry

**Chapter 7: Similarity**- Ratios and Proportions
- Similar Polygons
- Proving Triangles Similar

**Chapter 8: Right Triangles and Trigonometry**- The Pythagorean Theorem and Its Converse
- Special Right Triangles
- Trigonometry
- Angles of Elevation and Depression

**Chapter 9: Transformations**- Translations
- Reflections
- Rotations
- Dilations

**Chapter 10: Area**- Areas of Parallelograms and Triangles
- Areas of Trapezoids, Rhombuses, and Kites
- Circles and Arcs
- Areas of Circles and Sectors

**Chapter 11: Surface Area and Volume**- Surface Areas of Prisms and Cylinders
- Surface Areas of Pyramids and Cones
- Volumes of Prisms and Cylinders
- Volumes of Pyramids and Cones
- Surface Areas and Volumes of Spheres

**Chapter 12: Circles**- Tangent Lines
- Inscribed Angles
- Angle Measures and Segment Lengths
- Circles in the Coordinate Plane

- Tangent Lines