## Geometry Syllabus

- Line segments and their measures
- Angles and their measures
- Classifying angles
- Angle terminology
- Angle Addition Postulate
- Angle relationships
- Geometric diagrams and notation
- Parallel Lines and the Coordinate Plane
- Parallel lines and transversals
- Proving lines parallel
- Points on the coordinate plane
- The Midpoint Formula
- The Distance Formula
- Slope and lines
- Graphing linear equations
- Writing linear equations

- Angle bisectors
- Medians
- Centroid
- Triangle Inequality Theorem
- Inequalities in one triangle

- Classifying triangles
- Triangle angle sum
- Exterior Angle Theorem
- Triangles and Congruence
- Proving triangles congruent: SSS and SAS
- Proving triangles congruent: ASA and AAS
- Right triangle congruence
- Isosceles and equilateral triangles

• Classifying quadrilaterals
• Angles in a quadrilateral
• Properties of parallelograms
• Properties of trapezoids
• Area of triangles
• Area of quadrilaterals
• Polygon basics
• Angles in polygons
• Area of regular polygons

• Solving proportions
• Similar polygons
• Similar triangles
• Similar right triangles
• Triangles and parallel lines
• Proportional parts and parallel lines

• Identifying solid figures
• Volume of prisms and cylinders
• Nets of prisms and cylinders
• Surface area of prisms and cylinders
• Volume of pyramids and cones
• Nets of pyramids and cones
• Surface area of pyramids and cones
• Spheres
• Similar solids

• The Pythagorean Theorem
• The converse of The Pythagorean Theorem
• Multi-step Pythagorean Theorem problems
• Special right triangles
• Multi-step special right triangle problems

• Translations
• Rotations
• Reflections

• Naming arcs and central angles
• Measures of arcs and central angles
• Arcs and chords
• Circumference and area
• Inscribed angles
• Tangents
• Tangent-tangent angles
• Secant-tangent angles
• Segment measures
• Using equations of circles
• Writing equations of circles

• Finding trig. ratios
• Finding angle measures
• Solving for sides of right triangles
• Multi-step trig. problems
• Trigonometry and area

• Line segment constructions
• Perpendicular segment constructions
• Angle constructions
• Triangle constructions
• Medians of a triangle constructions
• Altitudes of a triangle constructions
• Angle bisector constructions
• Circle constructions