Question

Endpoints of line segment AB are A (2,1) and B (5,5). Line segment AB is dilated by a scale factor of 2 with the origin as the center of dilation to give image line segment A'B'.

What are the slope (m) and length of line segment A'B'?

Use the distance formula to help you decide. (Use the slope formula as well.

Answer 1

Select one:
a. A'B' = 5, m = 8/3
b. A'B' = 10, m = 4/3
c. A'B' = 5, m = 4
d. A'B' = 10, m = 8/3

Answer 2

@StudyGurl14

Answer 3

Okay, so a dilation of scale factor 2. That means you multiply the coords by 2.

(2,1) --> (?, ?)
(5,5) --> (?, ?)

Answer 4

i multiply (2,1) by 2 and then (5,5) by 2?

Answer 5

yep

Answer 6

the answers i am getting do not fit the choices. i must be multiplying wrong

Answer 7

no. that's not the answer. it's just the first step

Answer 8

So, what coords do you get after multiplying?

Answer 9

4,2 and 10,10?

Answer 10

is that correct??

Answer 11

yep. Now use the slope formula to find the slope. can you do that?

Answer 12

could you help me set it up?

Answer 13

Sure. with points \((x_1,y_1)\) and \((x_2,y_2)\)
slope = \(\Large\frac{y_2-y_1}{x_2-x_1}\)

Answer 14

remember you have points (4,2) and (10,10)

Answer 15

and i just put those points in for the x and ys

Answer 16

yep