Translations on the Coordinate Plane

Front

What does translation mean in geometry?

Back

Translation refers to the movement of a shape or object in a straight line from one position to another without changing its size, shape, or orientation. It is often described as a 'slide'.

Front

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

Back

The pre-image is the original shape before translation, while the image is the new shape after translation. The image is often denoted with a 'prime' symbol (e.g., A' for the image of point A).

Front

If a triangle is translated down 9 units and right 4 units, what are the coordinates of the image if the original coordinates are (2, 3)?

Back

The new coordinates will be (2 + 4, 3 - 9) = (6, -6).

Front

What does the prime symbol (') indicate in geometry?

Back

The prime symbol indicates the translated image of a point or shape. For example, A' represents the image of point A after translation.

Front

In the translation (x+3, y-1), how does the x-coordinate change?

Back

The x-coordinate increases by 3, meaning it moves 3 spaces to the right.

Front

In the translation (x-2, y+5), how does the y-coordinate change?

Back

The y-coordinate increases by 5, meaning it moves 5 spaces up.

Front

What is the effect of translating a shape left on the coordinate plane?

Back

Translating a shape left means decreasing the x-coordinate of each point of the shape.

Front

What is the effect of translating a shape down on the coordinate plane?

Back

Translating a shape down means decreasing the y-coordinate of each point of the shape.

Front

If triangle ABC is translated to triangle A'B'C', what can you say about their sizes and shapes?

Back

Triangle A'B'C' will have the same size and shape as triangle ABC; only its position on the coordinate plane changes.

Front

How do you represent a translation of 5 units to the right and 2 units down in coordinate notation?

Back

The translation can be represented as (x+5, y-2).