Question

build understanding the figure that results from a transformation, such as a translation, is called the image. the original figure is called the preimage. 1 aran says that if the pawn shown below is translated 2 inches right, the preimage and the image will have the same parallel line segments and will be the same height and width. hiro says the parallel line segments will remain parallel but the height and width will not be the same. who is correct? a. fill in the dimensions and angle measures. are the dashed segments parallel?

Explanation:

Step1: Recall translation properties

A translation is a rigid transformation, which means it preserves the shape and size of the figure. So, the image after translation should be congruent to the preimage.

Step2: Analyze Aran and Hiro's statements

• Aran says preimage and image have same parallel line segments, same height and width. Since translation preserves shape and size (congruence), parallel segments remain parallel and dimensions (height, width) remain same.
• Hiro says height and width change, which is wrong as translation is rigid (no change in size).

Answer:

Aran is correct. Because translation is a rigid transformation that preserves the shape and size of the figure, so the preimage and the image will have the same parallel line segments and the same height and width.