Geometric Transformations Review

Front

What is a dilation in geometric transformations?

Back

A dilation is a transformation that alters the size of a figure but not its shape, defined by a scale factor.

Front

What is the algebraic representation of a dilation with a scale factor of 3?

Back

(x, y) → (3x, 3y)

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

What is the result of reflecting the point (6, -3) over the x-axis?

Back

(6, 3)

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What is the result of reflecting the point C (3, 2) over the y-axis?

Back

(-3, 2)

Front

What is a translation in geometric transformations?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

What type of transformation is represented by moving a shape without changing its size or orientation?

Back

Translation.

Front

What is the algebraic representation of a translation that moves a point (x, y) by (a, b)?

Back

(x, y) → (x + a, y + b)