translation

Front

What is translation in geometry?

Back

Translation is a type of transformation that moves every point of a shape a certain distance in a specified direction.

Front

How do you describe a translation?

Back

A translation can be described using a vector that indicates the direction and distance of the movement, such as '3 units right and 4 units up'.

Front

What is the result of translating a shape 5 units to the right and 8 units down?

Back

The shape will move 5 units horizontally to the right and 8 units vertically down from its original position.

Front

If a triangle is translated 9 units down and 4 units to the right, what is the new position of the triangle?

Back

The new position of the triangle will be 9 units lower and 4 units to the right of its original position.

Front

What type of transformation is a translation?

Back

Translation is a rigid transformation, meaning the shape's size and orientation do not change.

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.

Front

If a shape is translated left 2 units and up 9 units, how can this be expressed as a vector?

Back

This can be expressed as the vector (-2, 9), where -2 indicates left movement and 9 indicates upward movement.

Front

What happens to the coordinates of a point (x, y) when it is translated 3 units right and 4 units up?

Back

The new coordinates will be (x + 3, y + 4).

Front

How can you determine the translation of a shape from one position to another?

Back

To determine the translation, subtract the original coordinates from the new coordinates for each point of the shape.

Front

What is the effect of translating a shape 0 units in the x-direction and 0 units in the y-direction?

Back

The shape remains in the same position; there is no movement.