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General Geometry

General Geometry

Last update 

Formulas and key terms from the typical Geometry course. (Work in progress)

Items (80)

  • Volume of a cylinder

    π(r^2)h

  • Circumference of a circle

    πr^2

  • x^(1/2)

    sqrt(x)

  • Image

    A figure after transformation

  • Polygon

    A closed plane figure made up of segments

  • Slope-intercept form

    y=mx+b

  • Skew lines

    Lines that do not intersect and are not coplanar

  • Perimeter of a square

    4s

  • No change

    A slope of 0

  • Area of a trapezoid

    (h((base 1)+(base 2)))/2

  • Coplanar

    Lying on the same plane

  • Volume of a sphere

    (4/3)(πr^2)

  • Reflection over y=-x

    (-y,-x)

  • Acute

    Measuring more than 0° but less than 90°

  • Euler's Theorem

    F+V=E+2

  • Equilateral

    All sides being congruent

  • Surface area of a cylinder

    2π(r^2+rh)

  • Convex

    A shape with all edges pointing outwards

  • Rotation of 90°

    (-y,x)

  • (x^m)(x^n)

    x^(m+n)

  • Area of a square

    s^2

  • Angle

    A figure formed by two rays with the same endpoint

  • Volume of a pyramid

    (Bh)/3

  • Collinear

    Lying on a striaght line

  • Volume of a cone

    (π(r^2)h)/3

  • Obtuse

    Measuring more than 90° but less than 180°

  • Sector area of a circle

    ((angle measure)/360)πr^2

  • Translation

    Sliding of a figure in a given direction

  • Area of any parallelogram

    bh

  • Complementary

    Adding up to 90°

  • Right

    Measuring 90°

  • (x^m)/(x^n)

    x^(m-n)

  • x^-1

    1/x

  • Midpoint formula

    (((x sub-2)+(x sub-1))/2,((y sub-2)+(y sub-1))/2)

  • Rotation of 270°

    (y,-x)

  • x^0

    1

  • Standard form

    Ax+By=C

  • Surface area of a sphere

    4πr^2

  • Perimeter of a rectangle

    2(b+h)

  • Surface area of a pyramid

    B+((Pl)/2)

  • Volume of a rectangular prism

    lwh

  • Slope

    The measure of the steepness of a line

  • Arc length of a circle

    ((angle measure)/360)2πr

  • Area of a circle

    2πr

  • Straight

    Measuring 180°

  • Adjacent

    Sharing a common side

  • Rotation of 180°

    (-x,-y)

  • Polyhedra

    A solid with polygonal faces

  • Surface area of any prism

    2B+Ph

  • Edge

    A line segment joining two vertices

  • Line

    A one-dimensional figure extending in opposite directions

  • Perimeter of a triangle

    a+b+c

  • Vertex

    An angular point of a figure

  • Vector

    An object with both magnitude and direction

  • Area of a rhombus or kite

    ((diagonal 1)(diagonal 2))/2

  • Volume of any prism

    Bh

  • Plane

    A two-dimensional surface extending in all directions

  • Supplementary

    Adding up to 180°

  • Regular

    Being both equilateral and equiangular

  • Slope

    ((y sub-2)-(y sub-1))/((x sub-2)-(x sub-1))

  • Distance formula

    d=sqrt(((x sub-2)-(x sub-1))^2+((y sub-2)-(y sub-1)^2)

  • (x^m)^n

    x^(mn)

  • Area of any regular polygon

    (pa)/2

  • Equiangular

    All angles being congruent

  • Reflection over y-axis

    (-x,y)

  • Point

    A location with no dimensions

  • Positive

    A slope greater than 0

  • Concave

    A shape with at least one edge pointing inwards

  • Undefined

    The slope of a vertical line

  • Surface area of a cube

    6B

  • Point-slope form

    (y-(y sub-1))=m(x-(x sub-1))

  • Parallel

    Lines which never intersect

  • Preimage

    A figure before transformation

  • Surface area of a cone

    B+((Cl)/2)

  • Reflection over x-axis

    (x,-y)

  • Transversal

    A line that intersects one or more lines

  • Perpendicular

    At a 90° angle to another line

  • Area of a triangle

    (bh)/2

  • Reflection over y=x

    (y,x)

  • Negative

    A slope less than 0