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:

• A translation is a rigid transformation that slides a figure (pre - image) to a new position (image) without changing its shape, size, or orientation.
• "The image is congruent to the pre - image": Since translation is a rigid transformation, the image and pre - image have the same shape and size, so they are congruent. This statement is true.
• "The image could be turned upside down": Turning a figure upside down is a rotation, not a translation. Translation does not change the orientation of the figure. So this statement is false.
• "The image could be moved left or right": Translation involves moving a figure horizontally (left or right) or vertically (up or down). So moving left or right is a type of translation. This statement is true.
• "The image could be moved up or down": As mentioned above, vertical movement (up or down) is part of a translation. This statement is true.
• "The image could be a different size than the pre - image": Rigid transformations (including translation) preserve the size of the figure. So the image and pre - image must be the same size. 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.