# 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

Congruence

● 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

Similarity

● 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

Measurement

● 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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