Geometry Concept List
This is a comprehensive list of 200 concepts for the high school Geometry course.
Concept Labels
- Point
- Line
- Plane
- Ray
- Line Segment
- Angle
- Vertex
- Collinear Points
- Coplanar Points
- Intersection
- Parallel Lines
- Perpendicular Lines
- Skew Lines
- Inductive Reasoning
- Deductive Reasoning
- Conjecture
- Counterexample
- Conditional Statement
- Hypothesis
- Conclusion
- Converse
- Inverse
- Contrapositive
- Biconditional Statement
- Postulate
- Theorem
- Proof
- Two-Column Proof
- Paragraph Proof
- Flow Chart Proof
- Indirect Proof
- Acute Angle
- Right Angle
- Obtuse Angle
- Straight Angle
- Complementary Angles
- Supplementary Angles
- Adjacent Angles
- Vertical Angles
- Linear Pair
- Angle Bisector
- Midpoint
- Segment Bisector
- Perpendicular Bisector
- Distance Formula
- Midpoint Formula
- Compass Construction
- Straightedge Construction
- Copying a Segment
- Copying an Angle
- Bisecting a Segment
- Bisecting an Angle
- Constructing Perpendiculars
- Constructing Parallels
- Translation
- Rotation
- Reflection
- Dilation
- Rigid Motion
- Image
- Pre-Image
- Composition of Transformations
- Congruent Figures
- Corresponding Parts
- Triangle Congruence
- SSS Congruence
- SAS Congruence
- ASA Congruence
- AAS Congruence
- HL Congruence
- CPCTC
- Transversal
- Corresponding Angles
- Alternate Interior Angles
- Alternate Exterior Angles
- Same-Side Interior Angles
- Parallel Postulate
- Slope
- Slope-Intercept Form
- Point-Slope Form
- Equations of Parallel Lines
- Equations of Perpendicular Lines
- Coordinate Proof
- Triangle
- Scalene Triangle
- Isosceles Triangle
- Equilateral Triangle
- Acute Triangle
- Right Triangle
- Obtuse Triangle
- Triangle Sum Theorem
- Exterior Angle Theorem
- Third Angle Theorem
- Base Angles Theorem
- Triangle Inequality Theorem
- Hinge Theorem
- Median of a Triangle
- Altitude of a Triangle
- Perpendicular Bisector Triangle
- Angle Bisector of Triangle
- Centroid
- Orthocenter
- Circumcenter
- Incenter
- Polygon
- Regular Polygon
- Interior Angles of Polygon
- Exterior Angles of Polygon
- Quadrilateral
- Parallelogram
- Rectangle
- Rhombus
- Square
- Trapezoid
- Isosceles Trapezoid
- Kite
- Pentagon
- Hexagon
- Octagon
- Tessellation
- Similar Figures
- Scale Factor
- Similarity Ratio
- AA Similarity
- SAS Similarity
- SSS Similarity
- Proportional Segments
- Geometric Mean
- Altitude to Hypotenuse
- Pythagorean Theorem
- Pythagorean Triple
- Converse Pythagorean Theorem
- Distance in Coordinate Plane
- Sine Ratio
- Cosine Ratio
- Tangent Ratio
- Inverse Trigonometric Functions
- Angle of Elevation
- Angle of Depression
- Indirect Measurement
- Circle
- Center of Circle
- Radius
- Diameter
- Chord
- Secant
- Tangent to Circle
- Point of Tangency
- Central Angle
- Inscribed Angle
- Intercepted Arc
- Major Arc
- Minor Arc
- Semicircle
- Arc Length
- Sector
- Segment of Circle
- Inscribed Polygon
- Circumscribed Polygon
- Equation of Circle
- Area of Rectangle
- Area of Square
- Area of Parallelogram
- Area of Triangle
- Area of Trapezoid
- Area of Rhombus
- Area of Kite
- Area of Regular Polygon
- Area of Circle
- Circumference
- Pi
- Perimeter
- Prism
- Pyramid
- Cylinder
- Cone
- Sphere
- Polyhedron
- Face
- Edge
- Lateral Face
- Lateral Edge
- Base of Solid
- Height of Solid
- Surface Area
- Lateral Surface Area
- Volume of Prism
- Volume of Pyramid
- Volume of Cylinder
- Volume of Cone
- Volume of Sphere
- Cross-Section
- Cavalieri's Principle
- Net of Solid
- Scale Drawing
- Scale Model
- Optimization Problem
- Modeling with Geometry
- Design Challenge
- Geometric Proof Portfolio