Geometry Honors Topic List
Unit 1: Constructions and Transformations
● Constructions:
○ copy a segment
○ copy an angle
○ bisect a segment
○ bisect an angle
○ construct perpendicular lines
and a perpendicular bisector
○ construct parallel lines
○ construct an equilateral
triangle and a hexagon
● Transformations: Translation,
Reflection, Rotation, Dilation
Unit 2: Introduction to Proofs through
Congruency
● Properties: Addition, Subtraction,
Multiplication, Division, Transitive,
Symmetric, Reflexive
● Algebraic Proofs
● Parallel Lines and Angle Pairs:
Vertical Angles, Linear Pairs,
Corresponding, Alternate
Interior/Exterior, Consecutive
Interior/Exterior
● Congruent Triangles: SSS, SAS, ASA,
AAS, HL, CPCTC
Unit 3: Applying Congruency
● Triangle Sum Theorem
● CPCTC
● Parallelogram Properties:
Parallelogram, Rectangle, Rhombus,
Square
Unit 4: Similarity, Dilations, and Trig
● Dilation Properties: Scale Factors
● Similar Figures: Similarity Statements
and Properties of Similar Figures
● Similar Triangles: AA, SAS, SSS
● Word Problems: Shadow Problems
● Geometric Mean and Similar Right
Triangles
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Pythagorean Theorem
Special Right Triangles
Sine, Cosine, Tangent
Inverse Trig Functions
Word Problems: Angle of Elevation
and Depression
Trig Values for Special Angles
Unit Circle- Degrees and Radians, Trig
Values
Law of Sines and Cosines
Unit 5: Circles
● Circle Vocab/Arc and Measures
● Tangent Properties
● Chord Props
● Inscribed Angle Props
● In, On, Out Angle Props
● Circles and Segment Props
● Circle Constructions
● What is a radian?
● Converting between Degrees and
Radians
● Radians, Arc Length, and Sector Area
Unit 6: Coordinate Geometry
● Slope and Parallel and Perpendicular
Line Equations
● Distance Formula
● Midpoint Formula
● Classifying Triangles and
Parallelograms using Slope and
Distance formulas
● Partitioning a Directed Line Segment
● Perimeter and Area on the
Coordinate Plane
● Equations of Circles
● Equations of Parabolas
Unit 7: Measurement
● Calculating Area and Perimeter
● Area of Regular Polygons
● Volume of Solids
● Cross Sections
● Rotational Solids