Question

The figure shows a pair of parallel line segments on a coordinate grid: 5 3 с D 2 2 1 А B ** 0 -2 -1 0 2. 3 5 6 7 8 -2-- -3 The line segments are translated 2 units to the left to form A'B' and C'D'. Which statement describes A'B' and C'D'? (4 points) Line segments A'B' and C'D' do not intersect and are closer together than AB and CD. Line segments A'B' and C'D' intersect at (-2,0) and are two times farther apart than AB and CD. O Line segments A'B' and C'D' intersect at (0, -2) and are two times closer together than AB and CD. Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD. which answer is correct?

Answer 1

In this question, we are given two lines, AB and CD.

Now, the two new line segments (A'B' and C'D') are generated by translating the initial lines to left side.

For better understanding, let's have a look at the figure.

Generally, both the lines will overlap but I put it this way for better understanding.

Now, if we look at both the lines, then they will never overlap as they are parallel. Also, they are only translated to the left side, as given in the figure. Therefore, the distance would be the same as the distance between line AB and line CD. Therefore, the last option is correct.