Question

can someone help me please?I will give medal

Answer 1

@jim_thompson5910

Answer 2

what do you have so far?

Answer 3

nothing i have no ides how to do this

Answer 4

have you learned about similarity theorems?

Answer 5

maybe

Answer 6

what theorems do you know about

Answer 7

im really not sure at the moment

Answer 8

ok one sec

Answer 9

read this page over

http://www.regentsprep.org/regents/math/geometry/gp11/LsimilarProof.htm

and hopefully they will seem familiar from your lesson

Answer 10

i think i know those

Answer 11

so which of those will be used here? and why?

Answer 12

the one about overlapping triangles? i think

Answer 13

kinda

Answer 14

what is the ratio of OJ and OM ?

Answer 15

im not sure

Answer 16

how long is OJ ?

Answer 17

30

Answer 18

how long is OM

Answer 19

would it be 40

Answer 20

yes, so OJ/OM = ??

Answer 21

do i divide it?

Answer 22

yes

Answer 23

or reduce the fraction

Answer 24

3/4

Answer 25

now you do the same for OK/ON

Answer 26

wouldnt it be 3

Answer 27

OK is 3, ON is how many units long?

Answer 28

4

Answer 29

so it would be 3/4?

Answer 30

so OK/ON = 3/4

Answer 31

is that the full answer?

Answer 32

well notice how

OJ/OM = 3/4
OK/ON = 3/4

therefore

OJ/OM = OK/ON

Answer 33

and we also have a shared angle at angle O

Answer 34

when you pull the triangles apart, you get something similar to what you see under "SAS for similarity"

Answer 35

okay thank you so much now i understand the problem

Answer 36

i'm glad you do