Question

The figure shows a pair of parallel line segments on a coordinate grid: The line segments are translated 2 units to the left to form M'N' and O'P'. Which statement describes M'N' and O'P'?
 Line segments M'N' and O'P' intersect at (−2, 0) and are two times farther apart than MN and OP.
 Line segments M'N' and O'P' do not intersect and are the same distance apart as MN and OP.
 Line segments M'N' and O'P' intersect at (0, −2) and are two times farther apart than MN and OP.
 Line segments M'N' and O'P' do not intersect and are closer together than MN and OP.

Answer 1

Translation is the transformation that preserves parallel lines. This means that if segments MN and OP were parallel, the segments M'N' and O'P' will be parallel too. As it is known parallel lines do not intersect, then options A and C are false.

Translation 2 units to the left has rule:

(x,y)→(x-2,y).

Then points

• M(2,2)→M'(0,2);
• N(5,2)→N'(3,2);
• O(2,1)→O'(0,1);
• P(5,1)→P'(3,1).

The distance between segments MN and OP is 1 unit, the distance between segments M'N' and O'P' is 1 unit too.

Answer: correct option is B.

Answer 2

Answer: “Line Segments J’K and M’N do not intersect and are the same distance apart from jk and mn

Step-by-step explanation: