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**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