Geometry
9th / 10th Grade
1. Basic Figures
Points, Lines, and Planes
Segments and Angles
Angle Pair Relationships
2. Basic Proof
Properties of Equality,
Segment Addition Postulate
Angle Addition Postulate
Midpoints, Angle Bisectors
3. Proofs
Properties, Postulates, Theorems
Proving Complementary Angles
Proving Supplementary Angles
Perpendicular Lines
Word Problems
4. Parallel Lines
Parallel Lines and Transversals
Proving Lines Parallel
Congruent Figures
SAS, ASA, SSS Postulates
Congruent Triangles
5. Congruent Triangles
Proving Congruent Triangles
CPCTC, Isosceles Triangles
HL Theorem
Congruent Triangles
6. Angles
Parallel Lines, Exterior Angle Theorem
Corresponding Parts of Triangles
Finding Perpendicular Lines
Distance Between Lines, Sum of Angles
7. Parallelograms
Parallelograms and Proofs
Properties of Rectangles, Rhombuses
Squares, Trapezoids
Determine Quadrilaterals using
Distance Formulas
8. Quadrilaterals
Properties of Kites,
Proportionality
Ratio and Proportion
Similar Polygons, Triangles
Midsegments
9. Transformations
Rigid Motion in a Plane
Reflections, Rotations
Translations and Vectors
Glide Reflections and Compositions
10. Right Triangles and Trigonometry
Similar Right Triangles
The Pythagorean Theorem
Special Right Triangles
Trigonometric Ratios
11. Circles
Tangent to Circles, Arcs and Chords
Inscribed Angles, Angle Relationships
Equations of Circles, Locus
12. Area of Polygons and Circles
Angle Measures in Polygons
Areas of Regular Polygons
Perimeters and Areas of Similar Figures
Circumference and Arc Length
Areas of Circles and Sectors