translation

Front

What is translation in geometry?

Back

Translation is a type of transformation that moves every point of a shape or object a certain distance in a specified direction without changing its size, shape, or orientation.

Front

What are the key characteristics of a translation?

Back

1. All points move the same distance. 2. The shape and size remain unchanged. 3. The direction of movement can be specified as up, down, left, or right.

Front

How do you represent a translation mathematically?

Back

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

Front

What is the result of translating a point (2, 3) by 5 units to the right and 2 units down?

Back

The new point will be (7, 1).

Front

If a triangle is translated 4 units left and 3 units up, what is the new position of the vertex (1, 2)?

Back

The new position will be (-3, 5).

Front

What type of transformation is a translation?

Back

Translation is a rigid transformation, meaning it preserves the shape and size of the object.

Front

How can you describe the translation of a shape on a coordinate plane?

Back

You can describe it by specifying the horizontal and vertical movements, such as '5 units right and 3 units down'.

Front

What happens to the coordinates of a shape when it is translated?

Back

The x-coordinates and y-coordinates of each point of the shape are adjusted by adding the translation values.

Front

If a rectangle is translated 6 units to the left and 4 units up, what is the new position of the point (3, 2)?

Back

The new position will be (-3, 6).

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.