Question

The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?

Answer 1

Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.

Answer 2

D:Line J'K' and M'N' do not intersect and are the same distance apart as JK and MN.

Explanation:

We are given that two line segments JK and MN are translated 2 units to the left to form J'K' and M'N'.

We have to find which statements are true about segments J'K' and M'N'.

We know that when we shift any figure towards right or left then the shape size does not effect only coordinates of given figure changes.

The segment JK with points J(3,-1) and K(7,-1)

When given coordinates translated 2 units left then the transformation rule

`(x,y)\rightarrow (x-2,y)`

Using this transformation rule

The new segment J'K' with points J'(1,-1) and K'(5,-1).

The coordinates of M are (3,-2) and the coordinates of N are (7,-2).

Using the above given rule of transformation

The segment M'N' with points M'(1,-2) and N'(5,-2).

Therefore, after shifting JK and MN we get segments J'K' and M'N'.The distance between two segments does not change because size shape distance does not change only coordinates change.

Hence, option D is true.

Answer:D:Line J'K' and M'N' do not intersect and are the same distance apart as JK and MN.