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,
Ratio and Proportion
Similar Polygons, Triangles

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