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.
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
Rhombuses
Kites
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
Rhombuses and kites with right triangles
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, reflections, and dilations
Probability
and Statistics
Sample spaces and the Fundamental Counting Principle
Probability of independent and dependent events, word problems
Probability of independent and dependent events
Probability of mutually exclusive events, word problems
Probability of mutually exclusive events
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