Translations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a shape or figure the same distance in a specified direction.

Front

How do you describe the movement of a shape during a translation?

Back

The movement of a shape during a translation is described by the direction and distance it is moved, often expressed in terms of 'left', 'right', 'up', or 'down' along with the number of units.

Front

What does the term 'pre-image' refer to in geometry?

Back

The pre-image refers to the original shape or figure before any transformation, such as a translation, is applied.

Front

What is the significance of congruence in translated figures?

Back

Congruence indicates that two figures have the same shape and size, which means that a translated figure will be congruent to its pre-image.

Front

How do you determine the coordinates of a translated point?

Back

To determine the coordinates of a translated point, you add or subtract the specified movement values from the original coordinates.

Front

What is the result of translating a point (3, 4) 5 units to the right and 2 units down?

Back

The new coordinates will be (8, 2).

Front

What is the difference between a translation and a rotation?

Back

A translation moves a shape without changing its orientation, while a rotation turns a shape around a fixed point.

Front

If a shape is translated 5 units left and 2 units up, how would you express this movement in coordinates?

Back

You would subtract 5 from the x-coordinate and add 2 to the y-coordinate of the original point.

Front

What is the relationship between the pre-image and the image after a translation?

Back

The image after a translation is congruent to the pre-image, meaning they have the same dimensions and shape but are located in different positions.

Front

How can you visually represent a translation on a coordinate plane?

Back

You can visually represent a translation by plotting the original shape, applying the translation to each vertex, and then plotting the new shape.