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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 Midsegment Angle bisectors Medians Centroid 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 Similarity 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 Trigonometry 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 Spheres Similar solids Circles Naming arcs and central angles Measures of arcs and central angles Arcs and chords Circumference and area Arc length and sector area Inscribed angles Tangents Tangent-tangent angles Secant-tangent angles Segment measures Using equations of circles Writing equations of circles Transformations Translations Rotations Reflections 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 Permutations Combinations Combinations vs permutations Probability using combinations and permutations 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