Mathematical Transformations Flashcards
Involves moving and object from its original position to a new position.
Mathematical Transformation
Different types of Transformation
Reflection
Translation
Rotation and;
Glide reflection symmetry
It is a transformation which creates symmetry on a plane.
Reflection
The line across which you reflect a figure is called _________.
Line of reflection
2 types of reflection
Horizontal reflection
Vertical reflection
Reflection over the y-axis.
Horizontal reflection
Flips across
Horizontal reflection
Reflection over the x-axis
Vertical reflection
Flips up/down
Vertical reflection
The line of reflection is directly in the _________ of both points.
Middle
-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.
Translation
In translation transformation all the points in the object are moved in a ________ line in the same direction.
Straight
The _____, the _______and the _________ of the image are the same as that if the original object.
Size, shape and orientation
Same orientation means that…..
The object and range are facing the same direction.
Every point in the object is moved the _________ and the ___________ to form the image.
Same direction
Same distance
It is a transformation that turns a figure about a fixed point.
Rotation
A fixed point in rotation transformation is called
Center of rotation
A figure has a ___________ if after a rotation of 180° or less, it’s image fits exactly on top of the original figure.
Rotational symmetry
Rotation transformation is described using
Polar coordinates
It rotates the original image by 180° around a rotation center.
Rotation transformation
A combination of a translation and reflection transformation
Glide reflection symmetry
An infinite strip with a repeating pattern.
Frieze Pattern
Frieze symmetry is sometime called
Border symmetry
All frieze patterns have _________.
Translation symmetry
A ________________ looks the same when slid to the left or right.
Horizontal frieze pattern
A result of only translation, the original image is repeatedly translated along the x-axis.
F1 Translation symmetry only
Referred to as HOP
F1 Translation symmetry only
A combination of translation and Glide reflection.
F2 Translation and Glide reflection symmetry
Referred to as STEP
F2 Translation and Glide reflection symmtery
A result of translation and vertical reflection.
F3 Translation and vertical reflection symmetry
Sometimes called as “slide”
F3 Translation and Vertical Reflection symmetry
A result of translation and rotation.
F4 Translation and rotation (by half turn) symmetry
Each rotation is _____ around the rotational origin.
180°
The point on the x-axis below the center of the image is used as __________.
Rotational region.
Results from translation, Glide reflection and vertical reflection.
F5 Translation, Glide reflection and Rotation (by half turn) symmetry
Referred to as “spinning slide”
F5 Translation, Glide reflection and Rotation (by half turn) symmetry
Results from translation and horizontal reflection.
F6 Translation and Horizontal reflection symmetry
Referred to as “jump”
F6 Translation and Horizontal reflection symmetry
Results from translation, vertical reflection,and horizontal reflection.
F7 Translation, Horizontal & vertical reflection and Rotation
Referred to as “spinning jump”
F7 Translation, Horizontal and vertical reflection and rotation
