Question

Rectangle LMNO is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle L'M'N'O'. If a line segment is drawn from point L to point L' and from point O to point O', which statement would best describe the relationship between segment L L prime and segment O O prime?

Answer 1

Answer:

Segment LL' and segment OO' are congruent (same length) and parallel (same inclination)

Step-by-step explanation:

Answer 2

Answer:

• Segment LL' and segment OO' are congruent (same length) and parallel (same inclination).

Explanation:

The transformation described by the rule  (x, y) → (x + 2, y + 2) is a translation two units to the right and two units up.

That means that, to create rectangle L'M'N'O', every point of the reactangle LMNO is translated the same amount in the same direction; thus, this is a rigid transformation where angles, lengths, size, shape, and orientation are kept.

Then a segment drawn from point L to L' will have the same length and the same orientation (inclination) of a segment drawn from the point O to O'. Thus, these two segments are parallel and congruent.