Translations

Front

What is a translation in geometry?

Back

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

Front

What is the pre-image in a transformation?

Back

The pre-image is the original figure before any transformation is applied.

Front

What is the image in a transformation?

Back

The image is the result of a transformation applied to the pre-image.

Front

How do you translate a point (x, y) 5 units to the right and 3 units up?

Back

(x + 5, y + 3) is the new position of the point after translation.

Front

What is the translation rule for moving a point 2 units left and 4 units down?

Back

(x - 2, y - 4) describes the translation.

Front

If a triangle is translated using the rule (x + 3, y - 2), what happens to the coordinates of its vertices?

Back

Each vertex's x-coordinate increases by 3 and y-coordinate decreases by 2.

Front

What does it mean to translate a figure 8 units down and 5 units to the right?

Back

The new coordinates of each point of the figure will be (x + 5, y - 8).

Front

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

Back

The size and shape of the figure remain unchanged after a translation.

Front

How do you find the new coordinates of a point (2, 3) after translating it 4 units down?

Back

The new coordinates will be (2, 3 - 4) = (2, -1).

Front

What is the difference between a pre-image and an image?

Back

The pre-image is the original figure, while the image is the figure after transformation.