Question

The figure shows a pair of parallel line segments on a coordinate grid:
A coordinate plane is shown. Line segment JK runs from 3 comma negative 1 to 7 comma negative 1. Line segment MN runs from 3 comma negative 2 to 7 comma negative 2.

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

Here are the answer choices

A: Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.

B: Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.

C: Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.

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

Answer 2

What do you think the answer is? Have you ruled out any choices yet?

Answer 3

no, I don't understand the question

Answer 4

does this help? see attached

Answer 5

Yes it does :)

Answer 6

I think the answer is D

Answer 7

yep. Translating preserves the fact that they are parallel. They stay parallel, so they don't intersect and they stay the same distance apart

Answer 8

Thanks so much :)

Answer 9

Jim, what software did you use to generate those graphs? Just curious.

Answer 10

I used Geogebra to generate the graphs

https://www.geogebra.org/

Answer 11

Looks amazing, thanks!