Question

Given a scale factor of 2 find the coordinates for the dilation of the line segment with endpoints (-1,2) and (3,-3)? Will give 3 medals!!!!!!!!!!!!!

Answer 1

hi

Answer 2

I will ask 2 more questions and reply and I will give you another medal.

Answer 3

You would have multiply both pairs' coordinates by 2,

you get (-2,4) and (6,-6).

Answer 4

thank you!! is that the same for all dilations?

Answer 5

You can check that the original line segment has length sqrt(41), via distance formula.

The new pair (doubling each coordinate), gives you a distance of 2 sqrt(41).

Answer 6

Logically, that should happen, because a dilation enlarges or reduces by a given factor. Here, your factor is 2. So it would need to double the distance. That is accomplished by doubling all coordinates.

Answer 7

ok.

Answer 8

cool

Answer 9

Yes.

Answer 10

I got a few more questions on dilation...

Answer 11

The new pair of coordinates, (-2,4) and (6,-6) will have a length of sqrt(164).

sqrt(164) = sqrt(4) sqrt(41)
= 2 sqrt (41)
Which is twice the length of the original line segment.

Answer 12

You can post a new question to all.
You're welcome.