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Topics Covered by Infinite Geometry

Infinite Geometry covers all typical Geometry material, beginning with a review of important Algebra 1 concepts and going through transformations. There are over 85 topics in all, from multi-step equations to constructions. Suitable for any class with geometry content. Designed for all levels of learners, from remedial to advanced.

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Comparison of topics in each program

Common Core alignment

Review of Algebra Skills
Solving proportions
Multi-step equations
Simplifying square roots
Adding square roots
Multiplying square roots
Dividing square roots
The Basics
Line segments and their measures
Segment Addition Postulate
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
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
Properties of Triangles
Angle bisectors
Triangle Inequality Theorem
Inequalities in one triangle
Quadrilaterals and Polygons
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
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
Finding trig. ratios
Finding angle measures
Solving for sides of right triangles
Multi-step trig. problems
Trigonometry and area
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
Similar solids
Naming arcs and central angles
Measures of arcs and central angles
Arcs and chords
Circumference and area
Arc length and sector area
Inscribed angles
Tangent-tangent angles
Secant-tangent angles
Segment measures
Using equations of circles
Writing equations of circles
Statistics and Probability
Space space
The Fundamental Counting Principle
Independent and dependent events
Independent and dependent events word problems
Mutually exclusive events
Mutually exclusive events word problems
Combinations vs permutations
Probability using combinations and permutations
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
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