Transformations Flashcard (No Dilations)

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to create a new shape. The main types of transformations are translations, rotations, reflections, and dilations.

Front

What is a translation?

Back

A translation is a type of transformation that slides a shape from one position to another without turning it. It is defined by a vector that indicates the direction and distance of the slide.

Front

How do you denote a translation?

Back

A translation is denoted by the notation T followed by the vector components, for example, T_{x,y} where x and y represent the horizontal and vertical shifts.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point, known as the center of rotation, by a certain angle in a specified direction.

Front

What notation is used for rotation?

Back

The notation for rotation is R_{o, ext{degree of rotation and direction}}.

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, known as the line of reflection, creating a mirror image of the original shape.

Front

What notation is used for reflection?

Back

The notation for reflection is r_{line of reflection}.

Front

What is a pre-image in transformations?

Back

A pre-image is the original shape before any transformation is applied. There is no specific symbol to denote a pre-image.

Front

If point X is at (1, 2), where will it be after translating 3 units left and 4 units down?

Back

Point X' will be at (-2, -2).

Front

What is the effect of translating a shape 5 units to the right?

Back

Translating a shape 5 units to the right means that every point of the shape will move 5 units in the positive x-direction.