# 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, and reflections

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