Question

Triangle ghi is translated using the rule (x, y) → (x 5, y) to create triangle g′h′i′. 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.

Answer 1

When triangle GHI is translated according to the rule (x, y) → (x + 5, y), the line segments drawn from G to G' and H to H' will be parallel and congruent.

The question involves understanding the effects of a geometric translation on the positions of points in a triangle.

In the described scenario, triangle GHI is translated using the rule (x, y) → (x + 5, y), which moves each point of the triangle horizontally to the right by 5 units without changing the y-coordinate.

When line segments are drawn from point G to G' and from point H to H', these segments will be parallel and congruent because each point has been moved the same distance and in the same direction along the x-axis.