• ​Coordinate Geometry

  • Coordinate Geometry Concepts

    • Perimeter and area on the coordinate plane

    • Partitioning line segments

    • Coordinate geometric proofs

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• Transformations and Constructions

  • Geometric Transformations

    • Translations

    • Reflections

    • Rotations

    • Dilations

  • Geometric Constructions

    • Constructing geometric figures using mathematical rules.

    • Constructing perpendicular and parallel lines

    • Constructing triangles and angle bisectors

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• Triangle Geometry

  • Triangle Congruence

    • SSS, SAS, ASA, AAS congruence

    • Triangle congruence proofs

    • Two-column proofs

  • Triangle Similarity

    • Similarity criteria

    • Applications of similar triangles

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• Trigonometry and Special Triangles

  • Trigonometric Ratios

    • Sine, cosine, and tangent

    • Solving right triangles

  • Special Right Triangles

    • 30-60-90 triangles

    • 45-45-90 triangles

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• Circles

  • Circle Geometry

    • Arc length and sector area

    • Angles in circles

    • Chords and secant segments

    • Circle equations

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• Solid Geometry

  • Volume and Cross Sections

    • Volume of 3D shapes

    • Cross sections of solids

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• Probability and Statistics in Geometry

  • Probability

    • Compound probability

    • Conditional probability

  • Statistical Analysis

    • Applying statistical concepts to real-world data.

    • Normal distribution and empirical rule

    • Z-scores

    • Confidence intervals