Question

1. (02.01 hc) triangle ghi is translated using the rule ((x, y) \to (x + 5, y)) to create triangle (ghi). if a line segment is drawn from point (g) to point (g) and from point (h) to point (h), which statement would best describe the line segments drawn? (1 point) they share the same midpoints. they are parallel and congruent. they are diameters of concentric circles. they are perpendicular to each other.

Explanation:

A translation using the rule $(x, y) \to (x + 5, y)$ shifts every point 5 units to the right. For segments connecting corresponding points of the original and translated figures (like $GG'$ and $HH'$):

1. Both segments have the same horizontal direction (right 5 units) and length (5 units), so they are parallel and congruent.
2. They do not share the same midpoints, are not diameters of concentric circles, and are not perpendicular.

Answer:

They are parallel and congruent.