Geometric Transformations (Compositions HW)

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, such as translation, rotation, reflection, or dilation.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is dilation in geometry?

Back

Dilation is a transformation that enlarges or reduces a shape by a scale factor relative to a center point.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the size of the image to the size of the original shape in a dilation transformation.

Front

How do you represent a dilation algebraically?

Back

A dilation can be represented as (x, y) → (kx, ky), where k is the scale factor.

Front

What is the effect of a scale factor greater than 1 in dilation?

Back

A scale factor greater than 1 enlarges the shape.

Front

What is the effect of a scale factor between 0 and 1 in dilation?

Back

A scale factor between 0 and 1 reduces the shape.

Front

What is a composition of transformations?

Back

A composition of transformations is the application of two or more transformations in sequence to a shape.