GEOMETRIC DESIGNS

Question 1

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

Answer 1

TRANSFORMATION

Question 2

An isometry formed by combining two isometries such as reflection and translation.

Answer 2

GLIDE REFLECTION

Question 3

It is a transformation which is determined by a vector.

Answer 3

TRANSLATION

Question 4

This pattern consists of taking a motif or an element and rotating or reflecting the element.

Answer 4

ROSETTE PATTERN

Question 5

A 5-fold rotational symmetry is mapped by a rotation angle of ____ onto itself.

Answer 5

72 degrees

Question 6

A 9-fold rotational symmetry is mapped by a rotation angle of ____ onto itself.

Answer 6

40 degrees

Question 7

It is an infinitely long strip imprinted with a design given by a repeating motif.

Answer 7

FRIEZE PATTERN

Question 8

It is also known as flip transformation.

Answer 8

REFLECTION

Question 9

What are the rigid transformations?

Answer 9

REFLECTION
ROTATION
TRANSLATION

Question 10

It is a transformation which changes the orientation of a geometric shape through a center and an angle.

Answer 10

ROTATION

Question 11

It requires a line of symmetry.

Answer 11

REFLECTION

Question 12

It consists of 60 degrees, 120 degrees, 90 degrees and 180 degrees

Answer 12

WALLPAPER PATTERN

Question 13

Operation of Frieze pattern

Answer 13

180 degrees

Question 14

An isometry is a

Answer 14

TRANSFORMATION

Question 15

a function which changes the position, orientation, and possible the size of a geometric shape.

Answer 15

TRANSFORMATION

Question 16

Transformations which leave the dimensions of the object and its image unchanged are called

Answer 16

RIGID TRANSFORMATIONS / ISOMETRIC TRANSFORMATIONS / ISOMETRIES

Question 17

It means “same measurement”

Answer 17

ISOMETRY

Question 18

A/ an _______________________is a mapping that preserves distance (and therefore shape).

Answer 18

isometry of the plane

Question 19

a product of a reflection and a translation whose direction is parallel with the line of reflection.

Answer 19

GLIDE TRANSFORMATION

Question 20

A glide reflection is determined by a

Answer 20

REFLECTION LINE AND PARALLEL LINE

Question 21

Every motion of the plane is one of these transformations: a translation, a rotation, a reflection or a glide transformation

Answer 21

CHASLE’S THEOREM

Question 22

is the set of all isometries that map the figure onto itself.

Answer 22

SYMMETRY GROUP

Question 23

a figure with at least one non-trivial symmetry.

Answer 23

DESIGN

Question 24

a design that has a translation symmetry.

Answer 24

PATTERN

Question 25

has symmetry if there is an isometry of the plane that preserves it.

Answer 25

PLAIN PATTERN

Question 26

The symmetry group of a frieze pattern necessarily contains

Answer 26

TRANSLATIONS IN ONE DIRECTION

Question 27

a horizontal reflection
a vertical reflection
a rotation of 180˚ about some point in the design
a glide reflection

Answer 27

FRIEZE PATTERN