Translations

Front

What is a translation in geometry?

Back

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

Front

How do you represent a translation mathematically?

Back

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

Front

What does it mean to translate a shape 5 units left and 1 unit up?

Back

It means to move the shape 5 units in the negative x-direction and 1 unit in the positive y-direction.

Front

When translating an object, how does the 'x' coordinate change when moving right?

Back

The 'x' coordinate increases by the number of units moved to the right.

Front

When translating an object, how does the 'x' coordinate change when moving left?

Back

The 'x' coordinate decreases by the number of units moved to the left.

Front

What happens to the 'y' coordinate when translating an object up?

Back

The 'y' coordinate increases by the number of units moved up.

Front

What happens to the 'y' coordinate when translating an object down?

Back

The 'y' coordinate decreases by the number of units moved down.

Front

If a shape is translated 5 units right and 2 units down, what are the changes to its coordinates?

Back

The new coordinates will be (x + 5, y - 2).

Front

How do you describe the translation from a pink shape to a blue shape if it involves moving left and up?

Back

You would describe it as moving 5 units left and 2 units up.

Front

What is the effect of translating a shape on its size and orientation?

Back

Translation does not change the size or orientation of the shape; it only changes its position.