Carnegie Geometry
6. Similarity
Dialating triangles
Similar triangle theorems
Theorems about proportionality
Geometric Mean
Proving Pythagorean theorem
Applying Similar Triangles
Cavalieri's principle
7. Congruence
Translating, rotating, reflecting geometric figures
Congruent triangles
SSS congruence
SAS congruence
ASA congruence
AAS congruence
Applying congruent triangles
8. Congruence
Right triangle congruence
CPCTC
Isosceles Triangle Theorem
Direct proof vs. Indirect proof
9. Right Triangle Trigonometry
Tangent ratio
Sine ratio
Cosines ratio
Complement angle relationship
Angles of elevation and depression
Law of sines
Law of cosines
Applying Law of sines and law of cosines
10. Quadrilaterals
Squares ans Rectangles
Parallelograms and Rhombi
Kites and Trapezoids
Interior angles of a polygon
Exterior angles of a polygon
Quadrilateral family properties
Identifying Quadrilaterals in the coordinate plane
11. Circles
Circle vocabulary
Central angles, Inscribed Angles, Intercepted Arcs
Measuring angles inside and outside of circles
Chords
Tangents and circles
12. More Circles
Inscribed triangles and quadrilaterals
Arc Length
Sectors and segments
Circle Word Problems
5. Right Triangle Geometry
Classifying triangles
Triangle sum theorem
triangle inequality theorem
45-45-90 triangle
30-60-90 triangle
4. Volume and surface area
Rotating two-dimensional figures
Translating Two-dimensional figures
Cavalieri's principle
Volume of Cones and Pyramids
Volume of sphere
Applying Volume formulas
Cross Sections
Diagonals in three dimensions
3. Perimeter and Area of geometric figures on the coordinate plane
Using transformations to determine perimeter and area
Area and Perimeter of triangles on coordinate plane
area and perimeter of parallelograms on coordinate plane
Area and perimeter of trapezoidal on coordinate plane
Area and perimeter of composite figures on coordinate plane
circumference of circle
Area of circle
2. Logic and Proof
Foundations of proof
Special angles and postulates
Forms of Proof
Angle Postulates and theorems
Parallel line converse theorems
1. Tools of Geometry
Points, lines, planes, rays, segments
Translating and constructing line segments
Midpoint and bisectors
Angle and angle bisectors
Parallel and perpendicular lines in coordinate plane
Parallel lines, perpendicular lines and polygons
Points of concurrency
15. Probability of Compound Events
Two way Tables
Conditional probability
Permutations and Combinations
Independent Trials
Expected values
14. Independence and Conditional Probability
Modeling probability
Compound sample space
Compound Probability with "and"
Compound probability with "or"
Calculating compound probability
Theoretical and Experimental Probability
13. Circles on coordinate plane
Circles on coordinate plane problems
Equation of a circle
Determining points on a circle
Circles and points on the coordinate plane
Equation of a Parabola