Question

Consider line segment AB whose endpoints are (1, 4) and (4, 8). If this segment is dilated by a scale factor of 0.5 centered at the origin, find the length of the new segment, A’B’.

Answer 1

5
10
0.65
2.5

Answer 2

I think we need to use the distance formula for this one. Let me find it

Answer 3

\[d = \sqrt{(x _{2}-x _{1})^{2}+(y _{1}-y _{2})^{2}}\]

Answer 4

(1, 4) and (4, 8)
So we plug that into the formula, like so:
\[d = \sqrt{4-1)^{2}+(8-4)^{2}}\]

Answer 5

Oh, and it's y2 - y1, not y1 - y2, mistyped it.

Answer 6

Now we solve what's under the sqrt.
4 - 1 = 3
8 - 4 = 4
sqrt (3)^2 + (4)^2

Answer 7

sqrt 9 + 16

Answer 8

sqrt 25

Answer 9

d = 5

Answer 10

So now we multiply 5 by 0.5

Answer 11

2.5

Answer 12

Thank you!!! @jcpd910