2- & 3-Dimensional Objects Flashcards

0
Q

A regular polyhedron(all the sides are congruent & all the angles are congruent). There are only 5 regular polyhedral (tetrahedron, cube, octahedron, dodecahedron, or icosahedrons)

A

Platonic solid

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1
Q

an object composed of 3 or more closed sides

A

Polygon

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2
Q

On object made up of simple shapes, such as triangles, rectangles, trapezoids, &circles

A

Composite figure

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3
Q

A 3-dimensional figure whose surfaces are polygons

A

Polyhedron

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4
Q

The surfaces of a polyhedron

A

Face

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5
Q

a segment that is formed by the intersection of two faces

A

Edge

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6
Q

A point where three or more edges intersect

A

Vertex

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7
Q

A two-dimensional pattern that you can fold to form a three-dimensional figure

A

Net

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8
Q

A polyhedron with six faces, each of which is square

A

Cube

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9
Q

The space that a figure occupies. If is measured in cubic units

A

Volume

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10
Q

If two space figures have the same height and the same cross-sectional area at entry level, then they have the same volume

A

Cavalieri’s principle

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11
Q

The same shape and all their corresponding dimension are proportional

A

Similar solids

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12
Q

The ratio of corresponding linear dimensions of two similar solids

A

Similarity ratio

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13
Q

Intersection of a 3-dimensional figure and a plane

A

Cross-section

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14
Q

A polyhedron with exactly two congruent, parallel faces

A

Prism

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15
Q

The congruent and parallel faces of a prism

A

Bases

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16
Q

The non-parallel faces of a prism

A

Lateral faces

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17
Q

The perpendicular segment that hound the planes of the bases, aka height

A

Altitude of prism

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18
Q

The lateral faces are rectangles and the height is and edge of the prism

A

Right prisms

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19
Q

The lateral faces are rectangles and the height is outside the prism

A

Oblique prism

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20
Q

The sum of the areas of the lateral faces

A

Lateral area of prism

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21
Q

Sum of the lateral area and the area of the two bases

A

Surface area of a prism

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22
Q

The product of the area of a base and the height of the prism

A

Volume of a prism

23
Q

Like a prism, has two congruent and parallel bases which are circles

A

Cylinder

24
Q

A perpendicular segment that joins the planes of the bases

A

Altitude of a cylinder

25
Q

The length of the altitude

A

Height of a cylinder

26
Q

A cylinder whose height is located in the cylinder

A

Right cylinder

27
Q

A cylinder whose height is located outside of the cylinder

A

Oblique cylinder

28
Q

Area of the resulting rectangle when you “unroll” it

A

Lateral area of the cylinder

29
Q

The sum of the lateral area and the areas of the two circular bases

A

Surface area of a cylinder

30
Q

The product of the area of the base and the height of the cylinder

A

Volume of a cylinder

31
Q

A polyhedron in which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that meet at a common vertex

A

Pyramid

32
Q

Pyramids are named by?

A

The shape of its base

33
Q

The perpendicular segment from the vertex to the planes of the base

A

Altitude of pyramid

34
Q

The length of the altitude

A

Height of pyramid

35
Q

A pyramid whose base is a regular polygon and whose lateral faces are congruent isosceles triangles

A

Regular pyramid

36
Q

The length of the altitude of a lateral face of a pyramid

A

Slant height

37
Q

The sum of the areas of the congruent lateral faces

A

Lateral area of pyramid

38
Q

The sum of the areas of the congruent lateral faces and the area of the base

A

Surface area of a pyramid

39
Q

1/3 the product of the area of the base and the height of the pyramid

A

Volume of a pyramid

40
Q

A “pointed” like pyramid but it’s base is a circle

A

Cone

41
Q

The altitude is a perpendicular segment from the vertex to the center of the base

A

Right cone

42
Q

The length of the altitude

A

Height of cone

43
Q

The distance from the vertex to a point on the edge of the base

A

Slant height of a cone

44
Q

1/2 the perimeter of the base times the slant height

A

Lateral area of a cone

45
Q

The sum of the lateral area and the area of the base

A

Surface area of a cone

46
Q

1/3 the product of the area of the base and the height of the cone

A

Volume of cone

47
Q

The set of all points in space equidistant from a given point called the center

A

Sphere

48
Q

A segment that has one endpoint at the center and the other endpoint on the sphere

A

Radius

49
Q

A segment passing through the center with end points on the sphere

A

Diameter

50
Q

The center of the sphere is also the center of the center circle

A

Great circle

51
Q

Circumference of the great circle is also that of the sphere

A

Circumference

52
Q

What the great circle divides the sphere into

A

Hemispheres

53
Q

Four times the product of pi and the square of the radius of the sphere

A

Surface area of a sphere

54
Q

4/3 the product of pi and the cube of the radius of the sphere

A

Volume of a sphere

55
Q

A line from the center of a regular polygon at right angles to any of its sides

A

Apothem