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Two-dimensional space

Angle
Figure formed by two rays meeting at a common point
Brachistochrone curve
Fastest descent curve
Cardioid
Type of curve
Catenary
Plane curve formed by a hanging cable
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Circumference
Perimeter of a circle or ellipse
Conic section
Curve from a cone intersecting a plane
Coplanarity
Geometric property of objects being on a single plane
Cycloid
Curve traced by a point on a rolling circle
Decagon
Shape with ten sides
Dihedral angle
Angle between two planes in space
Ellipse
Plane curve: conic section
Elliptic curve
Algebraic curve
Equilateral triangle
Type of triangle with three sides of equal length
Euclidean plane
Geometric model of the planar projection of the physical universe
Euclidean plane
A flat two-dimensional surface
Hexagon
Shape with six sides
Hyperbola
Plane curve: conic section
Internal and external angles
Term in geometry
Isosceles triangle
Triangle with at least two sides congruent
Lemniscate
Figure-eight-shaped curve
Line–line intersection
Intersection of a line and a line can be the empty set, a point, or a line
Octagon
Polygon shape with eight sides
Parabola
Plane curve: conic section
Parallel (geometry)
Relation used in geometry
Parallelogram
Quadrilateral with two pairs of parallel sides
Pentagon
Shape with five sides
Perpendicular
Relationship between two lines that meet at a right angle (90 degrees)
Polygone
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Quadrilateral
Four-sided polygon
Radius
Segment in a circle or sphere from its center to its perimeter or surface and its length
Rectangle
Quadrilateral with four right angles
Regular polygon
Equiangular and equilateral polygon
Reuleaux triangle
Reuleaux polygon with three sides
Rhombus
Quadrilateral in which all sides have the same length
Right angle
90° angle (π/2 radians)
Right triangle
When one angle is a 90-degree angle
Square
Regular quadrilateral
Trapezoid
Convex quadrilateral with at least one pair of parallel sides
Triangle
Shape with three sides