
Basics Of Geometry
 Points, lines, and planes
 Measuring and constructing segments
 Using midpoint and distance formulas
 Perimeter and area in the coordinate plane
 Measuring and constructing angles
 Describing pairs of angles
Reasoning and Proofs
 Conditional statements
 Inductive and deductive reasoning
 Postulates and diagrams
 Algebraic Reasoning
 Proving statements about segments and angles
Parallel and Perpendicular Lines
 Pairs of lines and angles
 Parallel lines and transversals
 Proofs with parallel lines
 Proofs with perpendicular lines
 Equations of parallel and perpendicular lines
Transformations
 Translations
 Reflections
 Rotations
 Congruence and transformations
 Dilations
 Similarity and Transformations
Congruent Triangles
 Angles of triangles
 Congruent polygons
 Proving triangle congruence by SAS
 Equilateral and isosceles triangles
 Proving triangle congruence by SSS
 Proving triangle congruence by ASA and AAS
 Using congruent triangles
 Coordinate proofs
Relationships within Triangles
 Perpendicular and angle bisectors
 Bisectors of Triangles
 Medians and altitudes of triangles
 The triangle midsegment theorem
 Indirect proof and inequalities in one triangle
 Inequalities in two triangles
Quadrilaterals
 Polygons and Its angles
 Polygons continution and quadrilaterals
 Parallelogram
 Rectangle
 Rhombus
 Square
 Trapezoid and Kite
Similarity of Triangles
 Similarity and SSS Similarity of Triangles
 SAS, AAA or AA Similarity
 Perimeters and Area ratios of Similar triangles
 Medians, Altitudes and Angle bisectors ratios of Similar triangles
 Proportionality Theorem
 Angle bisector theorem
Right Angle and Trigonometry
 The pythagorean theorem
 Special right triangles
 Similar right triangles
 The tangent ratio
 The sine and cosine ratio
 Solving right triangles
 Law of sines and law of cosines
Circles
 Lines and Segments that intersect Circles
 Finding arc measures
 Using Chords
 Inscribed angles and Polygons
 Angle relationships in Circles
 Segment relationships in Circles
 Circles in the Coordinate plane
Circumference, Area and Volume
 Circumference and arc length
 Areas of circles and sectors
 Areas of polygons
 3D figures
 Volumes of prisms and Cylinders
 Volumes of pyramids
 Surface ares and volumes of cones
 Surface ares and volumes of spheres
Probability
 Sample spaces and probability
 Independent and dependent events
 Two way tables and probability
 probability of disjoint and overlapping events
 Permutations and combinations
 Binomial distributions