Mr. Hirsch

  • Welcome to the Geometry Page! Listed below are the topics covered in the Geometry Curriculum: Geometric Structure

    ● Identify and model points, lines and planes

    ● Calculate distance and midpoints
    ● Measure and calculate angles, use special pairs of angles to identify perpendicular lines
    ● Calculate perimeter, area, surface area, and volume
    ● Determine/ Prove relationships angle relationships
    ● Calculate slope and understand its characteristics
    ● Write equations given lines on a graph and solve
    ● Prove two lines are parallel


    ● Classify triangles by angle measure and side measure

    ● Apply Angle-Sum Theorem and Exterior Angle Theorem
    ● Prove triangle congruence by SSS, SAS, ASA, and AAS
    ● Identify reflections, translations, and rotations
    ● Position and label triangles to use in coordinate proofs
    ● Identify and use bisectors, medians, and altitudes
    ● Write indirect algebraic and geometric proofs
    ● Use triangle inequality theorem to identify triangles
    ● Apply Hinge Theorem or its converse
    ● Recognize, categorize, and apply properties of rhombi,
    squares, parallelograms, trapezoids and kites


    ● Identify similar figures using proportions

    ● Use proportional parts within triangles
    ● Recognize and use proportional relationships
    ● Solve problems involving angle of elevation/depression
    ● Use Law of Sines and Cosines to solve triangles
    ● Find magnitudes and directions of vectors and operate
    ● Draw reflections, translations, rotations, and dilations


    ● Recognize arcs, chords, inscribed angles, tangents, etc.

    ● Write equations of circles and find measurements of segments that intersect interior or exterior of circle
    ● Find perimeter and area of parallelograms, trapezoids, rhombi, kites, polygons, composite figures etc.

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