vocab geometry

Question 1

face

Answer 1

flat part of a solid (

Question 2

vertex

Answer 2

a corner where three faces meet, plural- vertices (vrchol)

Question 3

edges

Answer 3

place where two faces of a solid meet in a line (hrany)

Question 4

polyhedron

Answer 4

3-dimensional solid figure in which each face is a flat surface (mnohosten)

Question 5

platonic solids

Answer 5

solids with identical regular polygons, 4 vertices- fire,6 vertices- air,8 v.- earth,12 v- water, 20 v- universe (platónske objekty)

Question 6

prisms

Answer 6

polyhedra that have 2 parallel faces called bases- congruent polygons , the lateral faces are rectangles in a right prism or parallelograms in an oblique prism (hranoly)

Question 7

pyramid

Answer 7

polyhedron, its bases can be any polygon, lateral faces- in the shape of triangle, common vertex- apex (ihlan)

Question 8

apothem

Answer 8

lateral height (

Question 9

polyhedral angle

Answer 9

angle which three faces hold (plyedrický uhol)

Question 10

dihedral angle

Answer 10

angle which 2 faces hold (dihedrálny uhol)

Question 11

convex polyhedron

Answer 11

straight line penetrates the object in 2 points (konvexný mnohosten)

Question 12

concave polyhedron

Answer 12

straight line penetrate the object in 3 or more points (konkávny mnohosten)

Question 13

types of polyhedron

Answer 13

tetrahedron, pentahedron, hexahedron, heptahedron, octahedron, nonahedron, decahedron, undecahedron, dodecahedron, icosahedron

Question 14

regular polyhedron

Answer 14

its faces are congruent (pravidelný mnohosten)

Question 15

non-polyhedra

Answer 15

solid which has curved surfaces or it is a mix of a curved and flat surfaces : sphere, torus, cylinder, cone

Question 16

cube

Answer 16

regular hexahedron composed of 6 congruent squares (kocka)

Question 16

cuboid

Answer 16

parallelepiped that has all rectangular faces joined at right angles (kváder)

Question 17

truncate pyramid

Answer 17

result of cutting a pyramid by a plane, lateral faces are trapezoids (zrezaná pyramída)

Question 18

cylinder

Answer 18

solid generated by a rectangle that rotates around one of its sides, bases are two circles, circular cylinder, elliptical cylinder

Question 19

cone

Answer 19

solid of revolution generated by a right triangle that rotates around one of its legs, base is a circle that forms the other leg, slant height distance from any point on the circumference to the apex (kužeľ)

Question 20

axis

Answer 20

fixed leg around which the triangle rotates, fixed side around which the rectangle turns (cylinder) (os)

Question 21

truncated cone

Answer 21

result of cutting a cone by a plane and removing the part containing the apex, slant height is the shorotest possible distance between the edges of the two bases (zrezaný kužeľ

Question 22

plane or plane surface

Answer 22

the surface if the straight line joining two points on a surface lies wholly on the surface (rovina)

Question 23

plane is given by

Answer 23

three different points, which do not lie on the same straight line
a straight line and a point, which does not lie on that line
by two non-parallel/intersecting or two parallel different straight lines

Question 24

co-planar

Answer 24

lines or points that lie on the same plane (koplanárny)

Question 25

parallel lines

Answer 25

lines that are co-planar but they do not meet, rovnobežné

Question 26

skew lines

Answer 26

if a plane cannot be made to pass through them. they do not meet at a point and they are not parallel (šikmé čiary)

Question 27

perpendicular to a plane

Answer 27

it is perpendicular to every straight line drawn in the plane through the point where the line meets the plane

Question 28

normal to the plane

Answer 28

a straight line perpendicular to a plane

Question 29

orthogonal projection

Answer 29

is a means of representing a three-dimensional object in two dimensions (ortogonálna projekcia)

Question 30

irregular polyhedron

Answer 30

defined by polygons that are composed of elements that are not all congruent (nepravidelný mnohosten)

Question 31

parallelepiped

Answer 31

prism which has a parallelogram as its base, a polyhedron with 6 faces which are all parallelograms(rovnobežník) (rovnobežnosten)

Question 32

lateral edges

Answer 32

edges of prism where the lateral faces intersect, lateral edges in a prism are congruent and parallel (bočné okraje)

Question 33

regular prisms

Answer 33

the bases are regular polygons

Question 34

irregular prisms

Answer 34

the bases are irregular polygons

Question 35

types of prisms

Answer 35

triangular prisms, sqiare prisms, rectangular prisms, pentagonal prisms, hexagonal prisms

Question 36

height of a pyramid

Answer 36

measure of the perpendicular line segment from the apex to the base

Question 37

regular pyramid

Answer 37

base is a regular polygon, its faces are equally sized

Question 38

irregular pyramid

Answer 38

base is an irregular polygon, its faces are not equally sized

Question 39

types of pyramids

Answer 39

convex, concave, right, oblique

Question 40

right pyramid

Answer 40

has isosceles triangles as its lateral faces and its apex lies directly above the midpoint of the base

Question 41

oblique pyramid

Answer 41

does not have all isosceles triangles as its lateral faces (šikmá pyramída)

Question 42

types of pyramids by their bases

Answer 42

triangular, square, pentagonal, hexagonal

Question 43

slant height

Answer 43

apothem of a pyramid (býška sklonu)

Question 44

parts of the surface area of a pyramid

Answer 44

the base area, the lateral area

Question 45

sphere

Answer 45

set of points in three-dimensional space equidistant from a point called the centre

Question 46

spherical surface

Answer 46

surface generated by rotatinga circle about its diameter

Question 47

great circle

Answer 47

the largest circle that can be drawn on a sphere

Question 48

coincident line

Answer 48

two lines that line up exactly with each other so that all points on the two lines are the same

Question 49

hemisphere

Answer 49

each of the parts obtained by cutting a sphere by a plane through its cente

Question 50

spherical cup

Answer 50

each of the parts of a sphere determined by a secant plane

Question 51

2 lines can be

Answer 51

skew, parallel, intersecting, coincident

Question 52

2 planes can be

Answer 52

intersecting, coincident. parallel, different

Question 53

a line on a plane

Answer 53

parallel, intersecting, line lying on a plane