Question

The figure shows a pair of parallel line segments on a coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment EF is shown with E as ordered pair negative 5, negative 1 and F as ordered pair negative 2, negative 1. Another line segment GH is shown with G as ordered pair negative 5, negative 2 and H as ordered pair negative 2, negative 2.

The line segments are translated 2 units to the left to form E'F' and G'H'. Which statement describes E'F' and G'H'?

Line segments E'F' and G'H' intersect

Answer 1

The figure shows a pair of parallel line segments on a coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment EF is shown with E as ordered pair negative 5, negative 1 and F as ordered pair negative 2, negative 1. Another line segment GH is shown with G as ordered pair negative 5, negative 2 and H as ordered pair negative 2, negative 2.

The line segments are translated 2 units to the left to form E'F' and G'H'. Which statement describes E'F' and G'H'?

Line segments E'F' and G'H' intersect at (−2, 0) and are two times farther apart than EF and GH.
Line segments E'F' and G'H' intersect at (0, −2) and are two times farther apart than EF and GH. .
Line segments E'F' and G'H' do not intersect and are the same distance apart as EF and GH.
Line segments E'F' and G'H' do not intersect and are closer together than EF and GH.

Answer 2

Have you tried graphing this situation? It's possible that the correct answer would become obvious if you had a graph to look at.

There's no advantage to using words to express the coordinates of a point (as you have done in "F as ordered pair negative 2, negative 1"). Instead, write F(-2,1). See how much more compact that notation is?

You could draw this situation on paper, then photograph it with your cell phone, upload the image to your computer and then upload it from computer to OpenStudy. Or, you could use the Draw utility, below.

Answer 3

i posted a pic

Answer 4

Thanks. Always post any picture or diagram that comes with any problem.

In your pic I see 2 straight, parallel lines. This info allows you to eliminate 2 of the possible answer choices immediately. Could you do that now, please?

Answer 5

A and B because they don't intersect

Answer 6

I agree: the 2 short, parallel lines do NOT intersect.

So, now all you have to do is to determine which of the two remaining answers, C and D, best describe your situation here.

Answer 7

is it c

Answer 8

convince me.

Answer 9

because its not closer its the same difference idk how to say it

Answer 10

I agree with your reasoning. Thank youf or sharing it.

Answer 11

distance**

Answer 12

so its c?

Answer 13

If you have two parallel lines and shift both to the left by the same amount, that does not alter the distance between the lines. Thus, c is correct.

Answer 14

Thank you can you help with one more question

Answer 15

Please post your question in the usual way, tagging me if you wish.