Question

which are true statements about a translation? select all that apply.
□ 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.

Explanation:

1. Recall the definition of translation: a translation is a rigid transformation that slides a figure (pre - image) to a new position (image) without changing its shape, size, or orientation.

• For the statement "The image is congruent to the pre - image": Congruent figures have the same shape and size. Since translation is a rigid transformation, the image and pre - image are congruent. So this statement is true.
• For the statement "The image could be turned upside down": Translation does not involve rotation (turning). Rotation is a different type of transformation. So this statement is false.
• For the statement "The image could be moved left or right": Translation can be a horizontal (left - right) movement. This is a characteristic of translation. So this statement is true.
• For the statement "The image could be moved up or down": Translation can be a vertical (up - down) movement. This is a characteristic of translation. So this statement is true.
• For the statement "The image could be a different size than the pre - image": Since translation is a rigid transformation, the size of the image and pre - image must be the same. So this statement is false.

Answer:

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