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Mathematics In The Modern World > Mathematical Transformations > Flashcards

Mathematical Transformations Flashcards

1
Q

Involves moving and object from its original position to a new position.

A

Mathematical Transformation

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2
Q

Different types of Transformation

A

Reflection
Translation
Rotation and;
Glide reflection symmetry

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3
Q

It is a transformation which creates symmetry on a plane.

A

Reflection

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4
Q

The line across which you reflect a figure is called _________.

A

Line of reflection

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5
Q

2 types of reflection

A

Horizontal reflection
Vertical reflection

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6
Q

Reflection over the y-axis.

A

Horizontal reflection

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7
Q

Flips across

A

Horizontal reflection

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8
Q

Reflection over the x-axis

A

Vertical reflection

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9
Q

Flips up/down

A

Vertical reflection

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10
Q

The line of reflection is directly in the _________ of both points.

A

Middle

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11
Q

-It is a movement done by sliding a figure from one point to another about a plane.
-Acts by taking each point in the original image and moving it a specified distance along the x-axis.

A

Translation

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12
Q

In translation transformation all the points in the object are moved in a ________ line in the same direction.

A

Straight

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13
Q

The _____, the _______and the _________ of the image are the same as that if the original object.

A

Size, shape and orientation

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14
Q

Same orientation means that…..

A

The object and range are facing the same direction.

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15
Q

Every point in the object is moved the _________ and the ___________ to form the image.

A

Same direction
Same distance

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16
Q

It is a transformation that turns a figure about a fixed point.

A

Rotation

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17
Q

A fixed point in rotation transformation is called

A

Center of rotation

18
Q

A figure has a ___________ if after a rotation of 180° or less, it’s image fits exactly on top of the original figure.

A

Rotational symmetry

19
Q

Rotation transformation is described using

A

Polar coordinates

20
Q

It rotates the original image by 180° around a rotation center.

A

Rotation transformation

21
Q

A combination of a translation and reflection transformation

A

Glide reflection symmetry

22
Q

An infinite strip with a repeating pattern.

A

Frieze Pattern

23
Q

Frieze symmetry is sometime called

A

Border symmetry

24
Q

All frieze patterns have _________.

A

Translation symmetry

25
Q

A ________________ looks the same when slid to the left or right.

A

Horizontal frieze pattern

26
Q

A result of only translation, the original image is repeatedly translated along the x-axis.

A

F1 Translation symmetry only

27
Q

Referred to as HOP

A

F1 Translation symmetry only

28
Q

A combination of translation and Glide reflection.

A

F2 Translation and Glide reflection symmetry

29
Q

Referred to as STEP

A

F2 Translation and Glide reflection symmtery

30
Q

A result of translation and vertical reflection.

A

F3 Translation and vertical reflection symmetry

31
Q

Sometimes called as “slide”

A

F3 Translation and Vertical Reflection symmetry

32
Q

A result of translation and rotation.

A

F4 Translation and rotation (by half turn) symmetry

33
Q

Each rotation is _____ around the rotational origin.

A

180°

34
Q

The point on the x-axis below the center of the image is used as __________.

A

Rotational region.

35
Q

Results from translation, Glide reflection and vertical reflection.

A

F5 Translation, Glide reflection and Rotation (by half turn) symmetry

36
Q

Referred to as “spinning slide”

A

F5 Translation, Glide reflection and Rotation (by half turn) symmetry

37
Q

Results from translation and horizontal reflection.

A

F6 Translation and Horizontal reflection symmetry

38
Q

Referred to as “jump”

A

F6 Translation and Horizontal reflection symmetry

39
Q

Results from translation, vertical reflection,and horizontal reflection.

A

F7 Translation, Horizontal & vertical reflection and Rotation

40
Q

Referred to as “spinning jump”

A

F7 Translation, Horizontal and vertical reflection and rotation

Mathematics In The Modern World (4 decks)

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