Transformation And Symmetry Flashcards
What is a transformation?
A change in size and/or position of a figure or object.
What is translation in geometry?
A transformation that moves every point of a figure the same direction the same distance.
What is another term for translation?
Slide
What does rotation refer to in geometry?
Turns a figure about a point.
What are the three components of rotation?
- Center of rotation
- Direction of rotation (clockwise or counterclockwise)
- Number of degrees of rotation
What is reflection in geometry?
A figure is flipped or reflected over a line of reflection to create a mirrored image.
What is dilation in geometry?
The size of a figure is changed while its angles remain the same as the original angles.
In dilation, what remains unchanged?
All angle measures of the image.
Fill in the blank: A transformation that moves every point of a figure the same direction the same distance is called a _______.
translation
True or False: In a rotation, the figure can only be turned in a clockwise direction.
False
What is the definition of symmetry?
The quality of being made up of exactly similar parts facing each other or around an axis
An object or image has symmetry if it is balanced and can fit onto itself either by reflection or rotation.
What is line symmetry?
A situation where one half of an object is a mirror image of the other half
This is also known as reflective symmetry.
What is rotational symmetry?
When an object looks the same after a certain amount of rotation
Central rotation refers to the point around which the object is rotated.
Define tessellation.
A shape that repeats over and over again to create a pattern
Tessellations use translation, rotation, and glided symmetry.
Which shapes are mostly used in tessellation?
- Squares
- Triangles
- Hexagons
Fill in the blank: An object or image has _______ if it is balanced and can fit onto itself either by reflection or rotation.
[symmetry]
True or False: All shapes can tessellate.
False
Only certain shapes, such as squares, triangles, and hexagons, can tessellate.
