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    Units of Study
     
    Unit 1:  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
     
    Unit 2: Reasoning and Proofs
    Conditional Statements
    Inductive and Deductive reasoning
    Postulates and Diagrams
    Algebraic reasoning
    proving statements about segments and angles
    Proving geometric relationships 
     
    Unit 3: Parallel and Perpendicular
    Pairs of lines and angles
    Parallel lines and tranversals
    Proofs with parallel lines
    Proofs with perpendicular lines
    Equations of parallel and perpendicular lines
     
    Unit 4 Transformations
    Translations
    Reflections
    Rotations
    Congruence transformations
    dilations
    similarity transformations
     
    Unit 5 Congruent Triangles
    Angles of Triangles
    congruent polygons
    Equilateral and Isosceles triangles 
    Proving Triangles congruent by SSS, SAS,  ASA, AAS
    CTCTC
    Coordinate proofs
     
    Unit 6: Relationship with Triangles

    Perpendicular bisector theorem and converse

    angle bisector theorem and converse

    Points of concurrency

    Midsegments of a triangle

    triangle inequality theorem

    triangle longer side/ largest angle

    triangle shortest side / smallest angle

    Hinge theorem 
     
    Unit 7 Quadrilaterals ans Other Polygons

    Angles in polygons

    Properties of parallelograms

    Proving a quadrilateral is a parallelogram

    Properties of special parallelogram

    rectangles, rhombuses and squares

    Properties of trapezoids and kites 
     
    Unit 8: Similarity

    Similar Polygons

    Proving triangles similar

    AA

    SAS

    SSS

    Proportionality Theorems
     
    Unit 9:Right Triangles and Trigonometry

    The Pythagorean theorem and its converse

    Pythagorean inequalities (classifying triangles)

    Special Right triangles

    Right triangle similarity

    Geometric mean

    Geometric mean (Altitude/Leg) theorems

    Trig ratios

    Angle of elevation and depression

    Law of Sines

    Law of Cosines

     
    Unit 10 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
     
    Unit 11: Circumference, Area and Volume

    Circumference and arc length

    Areas of circles and sectors

    Areas of polygons

    3D figures

    Volumes of Prisms, cylinders, pyramids, cones and spheres

    Surface area of cones and spheres