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# Geometry

## Syllabus

### The Basics

• Line segments and their measures
• Angles and their measures
• Classifying angles
• Angle terminology
• 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

### Surface Area and Volume

• 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

### Circles

• 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

### Properties of Triangles

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

• Properties of parallelograms
• Properties of trapezoids
• Area of triangles
• Polygon basics
• Angles in polygons
• Area of regular polygons

### Right Triangles

• 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

### Constructions

• 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

### Congruent Triangles

• 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

### Similarity

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

### Circles

• 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

### Trigonometry

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