2-d and 3-d

lateral surface area

Sum of the surface areas of all the faces of a space figure except the bases

base angle

The angle that is formed by the base and one leg in an isosceles triangle. The base angles are always equal. chord. A line segment that divides a circle into two segments.

lateral edge

The edges that form the lateral faces of a solid

base edge

The intersection of a lateral face and a base

pyramid

a monumental structure with a square or triangular base and sloping sides that meet in a point at the top, especially one built of stone as a royal tomb in ancient Egypt.

rhombus

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

polygon

a plane figure with at least three straight sides and angles, and typically five or more.

octagon

a plane figure with eight straight sides and eight angles.

hendecagon

a plane figure with eleven straight sides and angles.

pentagon

a plane figure with five straight sides and five angles.

square

a plane figure with four equal straight sides and four right angles.

rectangle

a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

nonagon

a plane figure with nine straight sides and nine angles.

heptagon

a plane figure with seven straight sides and angles.

hexagon

a plane figure with six straight sides and angles.

decagon

a plane figure with ten straight sides and angles.

dodecagon

a plane figure with twelve sides.

oblique pyramid

a pyramid where the vertex is not directly above the base

trapezoid

a quadrilateral with only one pair of parallel sides.

area

a region or part of a town, a country, or the world.

sphere

a round solid figure, or its surface, with every point on its surface equidistant from its center.

apothem

a segment that is drawn from the center of a regular polygon perpendicular to a side of the polygon

polyhedron

a solid figure with many plane faces, typically more than six.

prism

a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.

cylinder

a solid geometric figure with straight parallel sides and a circular or oval cross section.

cone

a solid or hollow object that tapers from a circular or roughly circular base to a point.

cross-section

a surface or shape that is or would be exposed by making a straight cut through something, especially at right angles to an axis.

polygon

an angle whose vertex is the center of the polygon and whose sides contains two consecutive vertices of the polygon

base of parallelogram

any side of a parallelogram

base of triangle

any side of the triangle

center of a regular polygon

any side of the triangle

isometric view

corner views of 3-D objects on 2-D paper

radius of regular polygon

distance from the center to a vertex

regular polyhedron

each one is a polyhedron(a solid with flat faces) they are special bc every face is a regular polygon of the same size and shape

concave

having an outline or surface that curves inward like the interior of a circle or sphere.

n-gon

n-gon. A polygon with n sides.

platonic solid

one of five regular solids (a tetrahedron, cube, octahedron, dodecahedron, or icosahedron).

central angle of a regular

the center of the circumscribed circle

perimeter

the continuous line forming the boundary of a closed geometric figure.

arc length

the distance along an arc measured in linear units

circumference

the enclosing boundary of a curved geometric figure, especially a circle.

vertex

the highest point; the top or apex.

height of a triangle

the length of an altitude drawn to a given base of a triangle

height of parallelogram

the length of an altitude of a parallelogram

base

the lowest part or edge of something, especially the part on which it rests or is supported.

edge

the outside limit of an object, area, or surface; a place or part farthest away from the center of something.

height of a trapezoid

the perpendicular distance between the bases of a trapezoid

sector of a circle

the region bounded by two radii of the circle and their intercepted arc

face

the surface of a thing, especially one that is presented to the view or has a particular function, in particular.

legs

A leg of a triangle is one of its sides. For a right triangle, the term "leg" generally refers to a side other than the one opposite the right angle (which is termed the hypotenuse). Legs are also known as catheti.

mid segment of a trapezoid

A midsegment of a trapezoid is a segment that connects the midpoints of the two non-parallel sides of a trapezoid. This segment has two special properties. It is parallel to the bases of the trapezoid. The length of the midsegment is the average of the lengths of the two bases.

similar solids

A pair of three-dimensional figures is classified as similar solids when they are the same shapes and their corresponding measurements are proportional. The ratio that compares the measurements of two similar solids is called the scale factor.

irregular polygon

A polygon that does not have all sides equal and all angles equal. A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.

congruent solid

2 solids with the same shape, size and scale factor of 1:1

icosahedron

20 faces 12 vertices

tetrahedron

4 faces, 4 vertices

hexahegon

6 faces, 8 vertices (cube)

octahedron

8 faces, 6 vertices

great circle

A circular line on the surface of a sphere formed by intersecting it with a plane passing through the center

decahedron

10 faces

regular polyhedron

A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.

right solid

A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD). In geometry and trigonometry, a right angle is an angle that bisects the angle formed by two adjacent parts of a straight line.

composite solid

A three-dimensional figure that is composed of simpler figures

triangle

A triangle with all sides equal is called equilateral, a triangle with two sides equal is called isosceles, and a triangle with all sides a different length is called scalene.

volume

Amount of space occupied by an object

axis

An imaginary line about which a regular figure is symmetrically arranged. A fixed reference line for the measurement of coordinates.

lateral face

Any face that is not a base

diagonal

Diagonal. ... In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge. Informally, any sloping line is called diagonal.

kite

In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.

regular polygon

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be convex or star.

equiangular polygon

In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal.

isosceles trapezoid

In Euclidean geometry, an isosceles trapezoid (isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. It is a special case of a trapezoid.

vertex of polygon

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

equilateral polygon

In geometry, three or more than three straight lines (or segment of a line) make a polygon and an equilateral polygon is a polygon which has all sides of the same length.

slant height

The slant height of an object (such as a frustum, or pyramid) is the distance measured along a lateral face from the base to the apex along the "center" of the face. In other words, it is the altitude of the triangle comprising a lateral face (Kern and Bland 1948, p. 50).

total surface area

The total area of the surface of a three-dimensional object.

oblique cone

a cone whose axis is not perpendicular to the base

right cone

a cone with an axis that is also an altitude

quadrilateral

a four-sided figure.

parallelogram

a four-sided plane rectilinear figure with opposite sides parallel.