Translations

Front

What is a translation in geometry?

Back

A translation is a type of transformation that moves every point of a shape 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 point 3 units to the right?

Back

It means to add 3 to the x-coordinate of the point.

Front

What does it mean to translate a point 4 units down?

Back

It means to subtract 4 from the y-coordinate of the point.

Front

If point A is at (1, 2), where will it be after translating 2 units right and 3 units down?

Back

Point A will be at (3, -1).

Front

What is the result of translating point B(4, 5) by (x-2, y+3)?

Back

Point B will be at (2, 8).

Front

If triangle A'B'C' is translated to triangle ABC, what does this imply?

Back

It implies that the vertices of triangle A'B'C' have been moved to the corresponding vertices of triangle ABC.

Front

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

Back

The size and orientation of the shape remain unchanged during a translation.

Front

How do you find the new coordinates after a translation?

Back

Add the translation values to the original coordinates: New x = Original x + a, New y = Original y + b.

Front

If a point is translated 5 units left, what is the mathematical representation?

Back

The representation is (x, y) -> (x - 5, y).