the image of △abc after a reflection across eg is △abc. which statement is true about point f? f is the mid…

the image of △abc after a reflection across eg is △abc. which statement is true about point f? f is the mid - point of aa because eg bisects aa. f is the mid - point of eg because aa bisects eg. f is the mid - point of aa because aa bisects eg. f is the mid - point of eg because eg bisects aa.

the image of △abc after a reflection across eg is △abc. which statement is true about point f? f is the mid - point of aa because eg bisects aa. f is the mid - point of eg because aa bisects eg. f is the mid - point of aa because aa bisects eg. f is the mid - point of eg because eg bisects aa.

Answer

Explanation:

Step1: Recall reflection property

In a reflection, the line of reflection is the perpendicular - bisector of the segment joining a point and its image. Here, $\triangle ABC$ is reflected across $\overleftrightarrow{EG}$ to get $\triangle A'B'C'$. Point $A$ is reflected to point $A'$ across $\overleftrightarrow{EG}$.

Step2: Determine the mid - point

The line of reflection $\overleftrightarrow{EG}$ bisects the segment $\overline{AA'}$. The intersection of $\overline{AA'}$ and $\overleftrightarrow{EG}$ is point $F$. So, $F$ is the mid - point of $\overline{AA'}$ because $\overleftrightarrow{EG}$ bisects $\overline{AA'}$.

Answer:

F is the midpoint of $\overline{AA'}$ because $\overleftrightarrow{EG}$ bisects $\overline{AA'}$.