# Math Terms

Just a random list of math terms for reference. I may revise this in the future.

• Tessellations
• 4 transformations (dilate, transform, reflect, rotate) – specify object, specify angle of rotation and specify a center of rotation – dilate specify object, ratio, center –
• translate (slide) – specify object, specify distance and specific direction
• conjecture – guess not theorem
• equilateral – not same as regular, diamond, rhombus
• congruent – equal angles and lengths
• prime, double prime
• lattice
• perimeter
• area – if area stays the same, perimeter increases when the shape is elongated (use all three together perimeter, area, and shape)
• shape – if shape stays the same, perimeter and area change together
• axiomatic structure
• angle of rotation
• postulate – assumed statement
• theorem – provable statement
• non euclidean geometry
• ratio
• midpoints
• arbitrary circles
• transitivity

Shapes

• tetrahedron – 4 faces, 3 triangles, 1 vertex, can be classified as a pyramid, face type triangle, 4 faces, 6 edges, 4 vertices
• octahedron – 8 faces, 4 triangles, 1 vertex, triangle face type, 12 edges, 6 vertices
• icosahedron – 20 faces, 5 triangles, 1 vertex, triangle face type, 30 edges, 12 vertices
• cube – 6 squares, greatest number of squares to build a regular polygon, square face type, 6 faces, 12 edges, 8 vertices
• dodecahedron – greatest number of regular pentagons at each vertex to build a polyhedron, 12 regular polygons, hexagon face type, 12 faces, 30 edges, 20 vertices
• hexagon
• Which of the Platonic solids can be classed as an antiprism? antiprism is same at top and bottom and has parallel planes, band of triangles, not tetrahedron be doesn’t pretend to be prisim but pyramid not parallel opposites, band of opposite triangles, octahedron and icosahedron are antiprisms
• can do a Internet search for nets for the cube, octahedron, tetrahedron, dodecahedron, icosohedron, etc. Nets are fun to make and play with. Found some nice nets a few years ago at mathisfun.com
• square
• isosceles
• trapezoid
• isosceles trapezoid
• rectangle
• polygon – Greek “many angles” – regular polygon all angles equal
• pentagon
• polyhedron – has translational symmetry in only two directions
• hexagonal pyramid
• disphenoid
• irregular hexagonal pyramid
• hexagonal prism
• hexahedron
• fourteenahedron
• elevenahedron
• heptahedron
• octagon
• rhombus – 2 rhombus inside isosceles triangle