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# 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.

View as text in:   Index Order     Suggested Order

Comparison of topics in each program

Common Core alignment

### Review of Algebra

• Multi-step equations
• Simplifying square roots
• Adding and subtracting square roots
• Multiplying square roots
• Dividing square roots

### Basics of Geometry

• Line segments and their measures
• Segment Addition Postulate
• Angles and their measures
• Classifying angles
• Basic angle terminology
• Angle Addition Postulate
• Angle relationships
• Geometric diagrams and notation

### Parallel Lines and the Coordinate Plane

• Parallel lines and transversals
• Points of 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
• Isosceles and equilateral triangles

### Properties of Triangles

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

### Quadrilaterals and Polygons

• Classifying
• Angles
• Parallelograms
• Trapezoids
• Area of triangles and quadrilaterals
• Polygon basics
• Area of regular polygons

### Similarity

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

### Right Triangles

• 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 right triangles
• Multi-step trig. problems
• Trigonometry and area

### Surface Area and Volume

• Solid figures: identifying, volume, and area
• Nets of solids
• 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
• Secant and tangent angles
• Segment measures
• Using equations of circles
• Writing equations of circles

### Transformations

• Translations, rotations, and reflections

### Probability and Statistics

• Sample spaces & Fundamental Counting Principle
• Probability of independent and dependent events
• Independent and dependent events, word problems
• Probability of mutually exclusive events
• Mutually exclusive events, word problems
• Permutations
• Combinations
• Permutations vs combinations
• Probability with permutations and combinations

### Constructions

• Line segments
• Perpendicular segments
• Angles
• Triangles
• Medians of a triangle
• Altitudes of a triangle
• Angle bisectors
• Circles

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Infinite Geometry
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