## anonymous one year ago Square RSTU is shown below with a line AB drawn through its center. If the square is dilated using a scale factor of one over four and a line is drawn through the center of the new dilated figure, what relationship will that line have with line AB in the drawing below?

1. anonymous

2. anonymous

@johnweldon1993 can u plz help me

3. johnweldon1993

Okay, so we have a square with a line through the middle right? |dw:1432769367326:dw|

4. johnweldon1993

And then that same square is dilated by a factor of $$\large \dfrac{1}{4}$$ So that would be multiplying every coordinate by $$\large \dfrac{1}{4}$$ I have labeled the coordinates for this reason :)

5. johnweldon1993

So for example...the coordinate (1,1) multiplied by 1/4 would be $$\large (\frac{1}{4}, \frac{1}{4})$$ make sense so far?

6. anonymous

yes sir (:

7. johnweldon1993

Good :) so the new square we will have is *gonna try and draw it in the previous one to show this better* |dw:1432769675980:dw|

8. johnweldon1993

SOOOOOO if we draw a line through the center of the new square what do we see? |dw:1432769815446:dw|

9. anonymous

we see that AB relationship whould based on x and y ? i think

10. johnweldon1993

Well I would just say that they are the same line...since lines are never ending I dont believe we need to subject it to an 'xy' relationship For a square, no matter what factor you scale it by...the line going straight through the original center will also always go through the "new" center as the same line

11. anonymous

oh ok so what relationship will that line have with line AB in the drawing below?

12. johnweldon1993

They are the same line...that is the relationship :D

13. anonymous

oh ok thank you so much (:

14. johnweldon1993

Of course :)