Algebraic Representations-Part 1

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

How is a translation represented algebraically?

Back

A translation can be represented as (x,y) → (x+a, y+b), where a and b are the distances moved in the x and y directions, respectively.

Front

What does the transformation (x,y) → (x,y-5) represent?

Back

This transformation represents a translation of 5 units downward.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Front

How is dilation represented algebraically?

Back

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

Front

What does the transformation (x,y) → (3x, 3y) represent?

Back

This transformation represents a dilation with a scale factor of 3, enlarging the shape.

Front

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

Back

A scale factor less than 1 reduces the size of the shape, making it smaller.

Front

What does the transformation (x,y) → (x,-y) represent?

Back

This transformation represents a reflection across the x-axis.

Front

What is the difference between translation and reflection?

Back

Translation moves a shape without changing its orientation, while reflection flips a shape over a line, changing its orientation.

Front

What does the transformation (x,y) → (-x,y) represent?

Back

This transformation represents a reflection across the y-axis.