Topics covered by Infinite Geometry in suggested order ------------------------------------------------------ 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 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