Lesson 4

Question 1

a repeated arrangement
of numbers, shapes, colors and so
on. The Pattern can be related to
any type of event or object

Answer 1

Pattern

Question 2

a regularity in the world, in
human-made design, or in abstract
ideas

Answer 2

Pattern

Question 3

Sometimes, patterns are also known
as a _________. Patterns are ________or
_________in numbers.

Answer 3

Sequence

Finite

Infinite

Question 3

a kind of pattern formed of geometric shapes
and typically repeated like a wallpaper
design

Answer 3

A geometric pattern

Question 4

Defined as one shape is
exactly like the other shape when it is
moved, rotated, or flipped

Answer 4

Symmetries

Question 5

Symmetry in everyday language refers
to a sense of harmonious and beautiful
__________and _________.

Answer 5

proportion

balance

Question 5

used to refer to an object that is invariant
under some transformations; including
translation, reflection, rotation or
scaling

Answer 5

Symmetries

Question 6

any non-empty plane set

Any object drawn in a plane

Answer 6

A motif

Question 6

The rotation of a motif in a fixed angle about a fixed point

Answer 6

Isometry

Question 7

changes the size, shape, or position of a figure and creates a new figure

Answer 7

A transformation

Question 8

either rigid or non-rigid; another word for a rigid
transformation is “isometry”

Answer 8

geometry transformation

Question 9

is not an isometry since it either shrinks or enlarges a figure

Answer 9

Dilation

Question 9

The initial object to be transformed is
called _______and the transformed object is
called _______

Answer 9

Pre-image

Image

Question 10

A mathematical term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any
other way

Answer 10

TRANSLATION

Question 11

It is a transformation in which the figure or object is mirror image of the other.

Answer 11

REFLECTION

Question 12

a transformation that changes the size of a figure. It can
become larger or smaller, but the shape remains the same.

Answer 12

Dilation

Question 12

It is a transformation that turns a figure about a fixed point called the center of rotation. Rotations can be done clockwise or counterclockwise

Answer 12

ROTATION

Question 13

Translation and reflection can be combined to yield an effect shown below.

Answer 13

GLIDED REFLECTION

Question 14

attributed to John Conway, an English mathematician who is active in finite theory, knot theory, number theory, combinatorial game theory and coding theory

Answer 14

FRIEZE PATTERNS

Question 15

patterns that repeat in a straight vertical or
horizontal line. Found in architecture, fabrics, and
wallpaper borders, just to name a few.

Answer 15

FRIEZE PATTERNS

Question 16

A pattern which only involves translation

Answer 16

HOP

Question 17

It is a combination of translation and reflection shown by the following figure. Conway also called it glide reflection symmetry

Answer 17

STEP

Question 18

The third consists of translation and vertical reflection symmetries

Answer 18

SLIDE

Question 19

It contains translation and horizontal reflection symmetries.

Answer 19

JUMP

Question 19

It contains translation and rotation (by half turn or rotation at 180o angle) symmetries

Answer 19

SPINNING HOP

Question 20

It contains translation, glide, reflection and rotation (by a half-turn or rotation at 180o angle) symmetries.

Answer 20

SPINNING SIDLE

Question 21

It contains all symmetries ( translation, horizontal and vertical reflection, and rotation)

Answer 21

SPINNING JUMP

Question 22

If translation symmetry is added in a second, independent direction, one gets _____________.

Answer 22

wallpaper groups

Question 23

Filipino Indigenous fabrics showcasing patterns and symmetries

Answer 23

FILIPINO ARTS

Question 24

Symmetry comes from a Greek word __________meaning 'to measure together'

Answer 24

symmetria

Question 25

if an object is not symmetrical, it is called ____________.

Answer 25

Asymmetric.

Question 26

in which an object has two sides that are mirror images of each other.

Answer 26

Bilateral symmetry

Question 26

Subjects that use symmetry and patterns

Answer 26

Math, Chemistry, Biology and Human anatomy

Question 27

The word tessellation comes from Latin word _________

Answer 27

Tessera

Question 27

this is where a center point and numerous lines of symmetry could be drawn

Answer 27

Radial symmetry

Question 28

A pattern covering a plane by fitting together replicas of the same basic shape

Answer 28

TESSELLATION

Question 29

Is an edge-to-edge tessellation, but the order or arrangement of polygons at each vertex is not the same

Answer 29

Demi-Regular Tessellation

Question 29

The tessellation must ____a floor (that goes on forever) with no ________or ________

Answer 29

TILE Overlaps or Gaps

Question 30

Tessellations are regular tessellations of two or more different polygons around a vertex which has the same arrangement of polygons.

Answer 30

Archimedean (Semi-Regular Tessellation)

Question 31

The tiles must be the same regular _______.

Answer 31

Polygons.

Question 32

he function which iterates a figure to make it smaller and smaller or bigger and bigger using a scaling factor is called

Answer 32

FRACTALS

Question 33

means repeating a process over and over. In mathematics, iteration means repeating a function over and over.

Answer 33

Iteration

Question 34

a method for generating fractals involving a large number of calculations of a simple formula

Answer 34

The Iterative Function System (IFS) i