FLASHCARD-Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape, called the image.

Front

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What does it mean to reflect a figure across the y-axis?

Back

Reflecting a figure across the y-axis means flipping it over the y-axis, resulting in a mirror image of the original figure.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point at a certain angle and in a specific direction.

Front

Explain dilation in geometry.

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor to enlarge or reduce the figure.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a dilation has a scale factor of 2, what happens to the size of the figure?

Back

The figure is enlarged to twice its original size.

Front

What is the result of translating a point (3, 4) by 2 units left and 1 unit up?

Back

The new coordinates will be (1, 5).

Front

How do you represent a translation mathematically?

Back

A translation can be represented as (x, y) -> (x + a, y + b), where 'a' and 'b' are the horizontal and vertical shifts, respectively.

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor not only changes the size of the figure but also reflects it across the center of dilation.