Question

Can anyone help me? I've been a bit stuck for a while.

Answer 1

me tO_o

Answer 2

'sup?

Answer 3

What?

Answer 4

\(\huge\color{Green}{{\rm welcome}\rm~to~open~study!!!!}\)
\(\Huge \color{gold}{\star^{ \star^{\star:)}}}\Huge \color{green}{\star^{ \star^{\star:)}}}\)
\(\Huge \color{blue}{\star^{ \star^{\star:)}}}\Huge \color{red}{\star^{ \star^{\star:)}}}\)
\(\Huge \color{orange}{\star^{ \star^{\star:)}}}\Huge \color{purple}{\star^{ \star^{\star:)}}}\)\(\rm\color{green}{o^\wedge\_^\wedge o}\)
please post your question thanks

Answer 5

Do you know how to do this?

Answer 6

well ,it depends on the question .....

Answer 7

I did post my question. It's on the picture.

Answer 8

It's on the attachment:)

Answer 9

hmm where is the attachment and pic ?

Answer 10

Here

Answer 11

Hello?

Answer 12

what lengths are say.... SR and SP?

Answer 13

and maybe what lenghts are PQ and QR also

check their lengths
see if the ratio matches with the ratio of the corresponding sides on the other shape

Answer 14

One sec:)

Answer 15

What what do you mean lengths? The points are (7,5) and (7,1). So they would be 4 spaces apart right?

Answer 16

hmm

Answer 17

as a matter of similarity, we can say that, both shapes are indeed similar
due to the AAA test

so... you're asked to check it by using the corresponding sides

since we know that both are indeed similar
we can rule out the middle two choices, because they are

Answer 18

so.. wha'ts only left is
are they similar because of \(\bf PQ:QR\implies \cfrac{PQ}{QR}\implies \cfrac{6}{5}?\quad and\quad JK:KL\implies \cfrac{JK}{KL}\implies \cfrac{6}{5}?
\\ \quad \\

SR:SP\implies \cfrac{SR}{SP}\implies \cfrac{3}{2}?\quad and\quad ML:MJ\implies \cfrac{ML}{MJ}\implies \cfrac{3}{2}?\)

Answer 19

@Ninesha - is that supposed to be welcoming?

Answer 20

ratio of 3:2 means 3/2
ratio of 6:5 means 6/5

Answer 21

The last part of your post got cut off.

Answer 22

\(\bf PQ:QR\implies \cfrac{PQ}{QR}\implies \cfrac{6}{5}?\quad
\\ \quad \\
and\quad JK:KL\implies \cfrac{JK}{KL}\implies \cfrac{6}{5}?
\\ \quad \\
-------------------------
\\ \quad \\

SR:SP\implies \cfrac{SR}{SP}\implies \cfrac{3}{2}?\quad
\\ \quad \\
and\quad ML:MJ\implies \cfrac{ML}{MJ}\implies \cfrac{3}{2}?\)

Answer 23

if both of those pairs of segments have the same ratio, then they're similar by that test

Answer 24

But there can only be one answer

Answer 25

would it be a?

Answer 26

yes, so.. is a matter of checking the ratios for each

so what do you get for say \(\bf \cfrac{PQ}{QR}\quad and\quad \cfrac{JK}{KL}?\)

Answer 27

If i used the scale factor of 6:5?

Answer 28

well... we dunno if they scale out to 6:5
use their length and simplify the fraction
once you do so, then we'll see if they're indeed 6:5 or not

Answer 29

okay well P (1,1) Q (7,1) R (7,5)
so would the length be 6 and height 4?

Answer 30

yeap.. indeed... the length for
PQ is 6
QR is 4 thus ratio is 6/4 => 3/2

JK is 9
KL is 6 thus ratio is 9/6 = > 3/2

BUT, is not one of the choices

now let's take a peek of the 1st one

SR is 6
SP is 4 thus ratio is 6/4 => 3/2

ML is 9
MJ is 6 thus ratio is 9/6 => 3/2

Answer 31

OOOH okay I see. So I was right then?

Answer 32

\(\bf SR:SP\implies \cfrac{SR}{SP}\implies \cfrac{\cancel{6}}{\cancel{4}}\implies \cfrac{3}{2}\implies 3:2
\\ \quad \\
ML:MJ\implies \cfrac{ML}{MJ}\implies \cfrac{\cancel{9}}{\cancel{6}}\implies \cfrac{3}{2}\implies 3:2
\)

well... dunno.. I didn't see your work... but that's the choice, as you can see
their ratios is indeed 3/2 for those segment

Answer 33

I worked it out and chose it. It was right.

Answer 34

k

Answer 35

Thank you so much for your help!!!

Answer 36

yw