which statements must be true about the image of △mnp after a reflection across eg? select three options…

which statements must be true about the image of △mnp after a reflection across eg? select three options. the image will be congruent to △mnp. the orientation of the image will be the same as the orientation of △mnp. eg will be perpendicular to the line segments connecting the corresponding vertices. the line segments connecting the corresponding vertices will all be congruent to each other. the line segments connecting corresponding vertices will all be parallel to each other.

which statements must be true about the image of △mnp after a reflection across eg? select three options. the image will be congruent to △mnp. the orientation of the image will be the same as the orientation of △mnp. eg will be perpendicular to the line segments connecting the corresponding vertices. the line segments connecting the corresponding vertices will all be congruent to each other. the line segments connecting corresponding vertices will all be parallel to each other.

Answer

Explanation:

Step1: Recall reflection properties

A reflection is a rigid - motion. Rigid motions preserve size and shape, so the image of $\triangle MNP$ after reflection across $\overleftrightarrow{EG}$ will be congruent to $\triangle MNP$.

Step2: Analyze orientation

A reflection changes the orientation of a figure. So the orientation of the image will not be the same as the orientation of $\triangle MNP$.

Step3: Consider line - segment properties

The line of reflection $\overleftrightarrow{EG}$ is perpendicular to the line segments connecting the corresponding vertices of the pre - image and the image. Also, the line segments connecting the corresponding vertices are congruent to each other and parallel to each other.

Answer:

The image will be congruent to $\triangle MNP$. $\overleftrightarrow{EG}$ will be perpendicular to the line segments connecting the corresponding vertices. The line segments connecting the corresponding vertices will all be congruent to each other. The line segments connecting corresponding vertices will all be parallel to each other. (Any three of these four correct statements can be selected as the answer to meet the requirement of selecting three options)