Lesson 5 - Geometric Design Flashcards

1
Q

Everything that surrounds us has shape, line, volume, surface area, curve, and some other aspects of _________

A

geometry

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2
Q

A polygon is a__________shape with ______ sides.

A

two-dimensional
straight

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3
Q

A polygon can be classified according to the number of its sides, such as a three-sided shape called ________ and a four-sided shape called ________

A

triangle
quadrilateral

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4
Q

Polygons are either _________ or _______

A

simple
complex

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5
Q

Polygons are either ______ or _______

A

concave
convex

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6
Q

A _______ polygon has no angles pointing inward. More precisely, no internal angles can be more than 180 degrees. If any internal angles are greater than 180, it is a _______

A

convex
concave

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7
Q

If all polygon angles are equal and all sides are equal, it is _______; otherwise, it is _______.

A

regular
irregular

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8
Q

Formula for any polygon

A

NUMBER OF SIDES - n

SUM OF INTERNAL ANGLES - (n-2)x180

MEASUREMENT OF EACH ANGLE FOR REGULAR POLYGON - (n-2)x180/n

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9
Q

Number of sides of the following

  1. Triangle
  2. Quadrilateral
  3. Pentagon
  4. Hexagon
A
  1. Triangle -3
  2. Quadrilateral - 4
  3. Pentagon - 5
  4. Hexagon - 6
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10
Q

A _______ or ______ is the geometry of a three-dimensional space, the kind of space we live in

A

solid or form

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11
Q

it is called three-dimensional or 3D because there are three dimensions: width, depth, and height.

A

Solid

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12
Q

There are two main types of solids, namely: _______ and __________

A

polyhedral
non-polyhedra.

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13
Q

A _______ is a solid made of flat surfaces; each surface is a polygon, like the platonic solids, prisms, and pyramids

A

polyhedron

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14
Q

_______ are solids with curved surfaces, or a mix of curved and flat surfaces, such as spheres, cylinders, cones, and torus.

A

Non-polyhedra

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15
Q

__________ is a convex polyhedron whose faces are all congruent convex regular polygons.

A

Platonic solid

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16
Q

There are five platonic solids, namely;

A
  1. Tetrahedron
  2. Cube
  3. Octahedron
  4. Dodecahedron
  5. Icosahedron
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17
Q

How many faces, Vertices, Edges Does a TETRAHEDRON have?

A

4 faces
4 vertices
6 edges

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18
Q

How many faces, Vertices, Edges Does a CUBE have?

A

6 faces
8 vertices
12 edges

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19
Q

How many faces, Vertices, Edges Does a OCTAHEDRON have?

A

8 faces
6 vertices
12 edges

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20
Q

How many faces, Vertices, Edges Does a DODECAHEDRON have?

A

12 faces
20 vertices
30 edges

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21
Q

How many faces, Vertices, Edges Does a ICOSAHEDRON have?

A

20 faces
12 vertices
30 edges

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22
Q

How many faces, Vertices, Edges Does a SQUARE PYRAMID have?

A

5 faces
5 vertices
8 edges

23
Q

How many faces, Vertices, Edges Does a TRIANGULAR PYRAMID have?

A

4 faces
4 vertices
6 edges

24
Q

How many faces, Vertices, Edges Does a SQUARE PRISM have?

A

6 faces
8 vertices
12 edges

25
How many faces, Vertices, Edges Does a TRIANGULAR PRISM have?
5 faces 6 vertices 9 edges
26
This formula works only on solids that do not have any holes and do not intersect them.
F + V - E = 2
27
________ is a polyhedron whose sides are all flat.
Prism
28
It has the same cross section all along its length, and its shape is a polygon
Prism
29
4 regular prism
1. Square Prism 2. Cube 3. Triangular Prism 4. Pentagonal Prism
30
An _______ prism is one whose cross section is an irregular polygon.
irregular
31
_________ is a polyhedron made by connecting a base to an apex.
Pyramid
32
There are many types of pyramids, and they are named after the shape of their base. Some of these are the following:
1. Triangular Pyramid 2. Square Pyramid 3. Pentagonal Pyramid
33
4 Non-Polyhedra
1. Sphere 2. Cylinder 3. Torus 4. Cone
34
________ is a perfectly round object in a three-dimensional space
Sphere
35
It is non-polyhedron because the surface is completely round
Sphere
36
It is perfectly symmetrical with no edges or vertices.
Sphere
37
All points on the surface are the same distance from the center.
Sphere
38
_________ is a three-dimensional solid object bounded by a curved surface and two parallel circles of equal size at the ends.
Cylinder
39
The curved surface is formed by all the line segments joining corresponding points of the two parallel circles
Cylinder
40
_______ is a solid formed by revolving a small circle along a line made by another circle.
Torus
41
It has no edges or vertices and, therefore, it is not a polyhedron.
Torus
42
_____ is made by rotating a triangle
Cone
43
The triangle has to be a right-angle triangle, and it gets rotated around one of its two short sides
Cone
44
It has a flat base and has one curved side.
Cone
45
What do you call 3rd triangle or pyramid?
Triangular Prism
46
_________ of shapes is a change of its size, orientation, or position following certain techniques in mathematics
Geometric transformation
47
The original shape is called the ____, and the new shape is called its ____
object image
48
Some of the basic geometric transformation are as follows: ( 5)
1. Translation 2. Rotation 3. Reflection 4. Glide Reflection 5. Dilation
49
________ is a transformation of an object where every point of it moves a fixed distance and a given direction.
Translation
50
______ is a transformation of an object by rotating about a given through a given angle.
Rotation
51
____ is a transformation of an object where point of it and its image are of the same distance from the line of symmetry.
Reflection
52
__________ is a composition of translation and reflection in a line parallel to the direction or translation.
Glide reflection
53
__________ is a transformation of an object by resizing to either reduce it or enlarge it about a point with a given factor.
Dilation