Translations! - Describing Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or object a certain distance in a specified direction.

Front

How do you describe a translation?

Back

A translation is described by the distance and direction in which a shape is moved, typically expressed in terms of left/right and up/down movements.

Front

If a shape is translated 3 units left and 2 units up, what is the overall movement?

Back

The overall movement is a shift of 3 units to the left and 2 units up from the original position.

Front

What does '5 Left' indicate in a translation?

Back

'5 Left' indicates that the shape is moved 5 units to the left along the x-axis.

Front

What does '2 Up' indicate in a translation?

Back

'2 Up' indicates that the shape is moved 2 units upward along the y-axis.

Front

How can you determine the translation needed to move from one shape to another?

Back

To determine the translation, calculate the difference in the x-coordinates and y-coordinates of the two shapes.

Front

What is the significance of the order of translation movements?

Back

The order of translation movements does not affect the final position of the shape; translations are commutative.

Front

If a shape is translated 4 units up, what is the change in its y-coordinate?

Back

The y-coordinate of the shape increases by 4 units.

Front

What is the effect of translating a shape 0 units left and 0 units up?

Back

Translating a shape 0 units left and 0 units up means the shape remains in the same position.

Front

How do you represent a translation mathematically?

Back

A translation can be represented mathematically as (x, y) -> (x + a, y + b), where 'a' is the horizontal movement and 'b' is the vertical movement.