Question

the endpoints of AB are A(9,4) and B(5,-4).the endpoints of its image after a dilation are A(6,3) and B(3,-3). what is the scale factor. i give medal.. pleasse help

Answer 1

A(9,4) and B(5,-4)

find distance?

Answer 2

Sqrt[(9-5)^2+(4-+4)^2]

Answer 3

do the same for the after dilation

Answer 4

compare the number

Answer 5

but i dont get how to do that though.

Answer 6

Sqrt[(9-5)^2+(4-+4)^2]

evaluate this

Answer 7

i dont know how to

Answer 8

(9-5)^2+(4+4)^2

evaluate this

Answer 9

80 @modphysnoob

Answer 10

ok , take squareroot of it

Sqrt[80]

Answer 11

now do the same thing with this
A(6,3) and B(3,-3)

(6-3)^2 +(3+3)^2

9+36
=45

take a squareroot

you get Sqrt[45]

Answer 12

now to get scale factor , we simply

divide

Sqrt[45]/Sqrt[80]=sqrt[45/80]= sqrt[9/16]=3/4

Answer 13

now , that's the hard way to do it

Answer 14

let me teach you a easy way
A(9,4) and B(5,-4)

notice from b to a is 4 (9-5=4)


A(6,3) and B(3,-3).
notice from b to a is 3

hence it's 3/4

Answer 15

damn.. thanks.. :) here is your medal :) @modphysnoob

Answer 16

should have taught your the easy way first