Which are true statements about a translation? Select all that apply.

Question

The image is congruent to the pre-image.
The image could be turned upside down.
The image could be moved left or right.
The image could be moved up or down.
The image could be a different size than the pre-image.

Answer 1

The true statements about a translation are:

1. The image is congruent to the pre-image. - This is true because a translation moves every point of the shape the same distance in the same direction, preserving its size and shape.

2. The image could be turned upside down. - This is false. A translation does not involve rotation; it only involves moving the shape without changing its orientation.

3. The image could be moved left or right. - This is true. A translation can move the figure horizontally to the left or right.

4. The image could be moved up or down. - This is also true. A translation can also move the figure vertically up or down.

5. The image could be a different size than the pre-image. - This is false. A translation does not change the size of the figure; it remains the same size as the pre-image.

In summary, the true statements are:

• The image is congruent to the pre-image.
• The image could be moved left or right.
• The image could be moved up or down.