Translations

Front

What is a translation in geometry?

Back

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

Front

What does the notation (x, y) --> (x + a, y + b) represent?

Back

It represents a translation where the shape moves 'a' units horizontally and 'b' units vertically.

Front

If a point is translated from (2, 3) to (5, 3), what type of translation occurred?

Back

The point was translated 3 units to the right.

Front

What does it mean to slide a shape up?

Back

Sliding a shape up means increasing the y-coordinate of each point of the shape.

Front

What does it mean to slide a shape down?

Back

Sliding a shape down means decreasing the y-coordinate of each point of the shape.

Front

What does it mean to slide a shape left?

Back

Sliding a shape left means decreasing the x-coordinate of each point of the shape.

Front

What does it mean to slide a shape right?

Back

Sliding a shape right means increasing the x-coordinate of each point of the shape.

Front

If a triangle is translated down 9 and right 4, what are the new coordinates of point (1, 1)?

Back

The new coordinates are (5, -8).

Front

What is the result of translating point (4, 2) using the rule (x, y) --> (x + 3, y - 1)?

Back

The result is point (7, 1).

Front

How do you determine the direction of a translation?

Back

You look at the changes in the x and y coordinates to see if they are increasing or decreasing.