Math, Test 3

Front 1

space figure

Back 1

any 3-D object

Front 2

polyhedron

Back 2

simple closed surfaced composed of polygons

Front 3

solid

Back 3

union of any space figure and its interior

Front 4

prism

Back 4

all polyhedra with two parallel bases that are congruent polygons (bases), other faces called lateral faces (which are always parallelograms)

Front 5

dihedral angle

Back 5

3-D angle, angle whose vertex is a line (edge) and whose sides are planes

Front 6

right prism

Back 6

prism in which the lateral faces are rectangles, all others are oblique

Front 7

pyramid

Back 7

polyhedra whose base is a polygon and whose faces are triangles that have a common vertex (called apex), named according to base

Front 8

regular polyhedron

Back 8

convex polyhedron in which the faces are congruent regular polygons and in which the numbers of edges that meet at each vertex are the same

Front 9

tetrahedron

Back 9

a triangular pyramid composed of equilateral triangles

Front 10

5 regular polyhedra - platonic solids

Back 10

-tetrahedron (4 equilateral triangles)
-octahedron (8 triangular faces)
-cube (6 squares)
-icosahedron (20 triangular faces)
-dodecahedron (12 pentagonal faces)

Front 11

euler's formula

Back 11

v+f=e+2

Front 12

grid view mirrors

Back 12

front back, side side

Front 13

net

Back 13

2-D representation of 3-D figure, every face represented, fold back up into object

Front 14

cylinder

Back 14

simple, closed surface that is bounded by two congruent circles that lie in parallel planes

Front 15

right cylinder

Back 15

the line segments joining the two corresponding points at the two bases are perpendicular (if not, oblique)

Front 16

cone

Back 16

simple closed surface where base is simple closed surface and whose lateral surface slopes up to vertex (apex)

Front 17

right cone

Back 17

if apex lies directly above center of base (if not, oblique)

Front 18

sphere

Back 18

set of points in space equidistant from a given point (center)

Front 19

translation descriptions

Back 19

1. taxicab = 3 east 4 west
2. notation = (x,y)->(x+3,y+4)
3. distance and angle = 5 units at 54* from from x-axis
4. vectors = length and direction

Front 20

translation

Back 20

transformation on a plane determined by moving each point in the figure the same distance in the same direction

Front 21

reflection

Back 21

transformation that maps a figure so that a line, called the line of reflection, is the perpendicular bisector of every line segment joining a point on the figure and the corresponding point on the reflected figure

Front 22

rotation

Back 22

transformation on a plane about a point by a certain number of degrees in a specific direction

Front 23

composite transformation

Back 23

any combination of transformations (including glide reflection)

Front 24

glide reflection

Back 24

translation then reflection, translation vector and line of reflection parallel

Front 25

the order of two reflections doesn't matter if...

Back 25

the lines intersect at right angles (not parallel)

Front 26

congruent (new)

Back 26

a translation, reflection, rotation, or glide reflection that maps one figure onto another

Front 27

fundamental domain/region

Back 27

region that, under some combination of transformations will produce the whole pattern

Front 28

symmetry

Back 28

transformation that places the object directly on top of itself

Front 29

do parallelograms have symmetry?

Back 29

refl - no
rot - yes, 180

Front 30

do rhombuses have symmetry?

Back 30

refl - two
rot - 180

Front 31

do kites have symmetry?

Back 31

refl - vert
rot - no

Front 32

point symmetry

Back 32

180* rotational symmetry

Front 33

odd # sides, symmetry?

Back 33

lines of symmetry connect vertex to middle of opposite side

Front 34

even # sides, symmetry?

Back 34

lines of symmetry connect 2 vertexes and 2 midpoints

Front 35

are mathematical patterns finite or infinite?

Back 35

infinite

Front 36

pattern

Back 36

figure with translation symmetry

Front 37

wallpaper patterns

Back 37

motif can be repeated in two directions

Front 38

symmetry breaking

Back 38

reduce symmetry of pattern, or don't meet expectation of symmetry - in nature, symmetry imperfect

Front 39

plane of symmetry

Back 39

a plane drawn through a 3d figure so that one half of the figure is a mirror image of the other to make reflection symmetry

Front 40

axis of symmetry

Back 40

line drawn around which a 3d figure can be rotated so that it coincides with itself to make rotational symmetry

Front 41

tessellation

Back 41

regular repetition of figures with no gap, no overlap

Front 42

what figures tessellate?

Back 42

-all triangles (make parallelograms)
-all quadrilaterals
-regular hexagon
-lots of other irregular figures

Front 43

sum of angles on a polygon =

Back 43

(n-2)180, n=number of sides

Front 44

regular tessellation

Back 44

tessellation composed of congruent regular polygons

Front 45

semiregular tessellation

Back 45

tessellation of two or more regular polygons arranged so that the same polygons appear in the same order around each vertex point, only 8 possible

Front 46

sum of angles at any point in pattern

Back 46

360