Question

Which equation is correct?

Answer 1

please note that, in concerning similar triangles, ratio between homologous sides have to be the same, for all pairs of sides in which one side belongs to one triangle, and other side belongs to other triangle. That ratio is called similitude ratio

Answer 2

so, please sides AC and RP are homologous?
@Wriddler

Answer 3

I dont really understand what you are asking

Answer 4

AC and RP are homologous because <C=<R and <A=<P
is it clear, now?

Answer 5

@Wriddler

Answer 6

yes

Answer 7

ok! now we consider this ratio:
\[\frac{ measure-of -AC }{ measure-of -RP }=\frac{ b }{ q }\]

Answer 8

and I ask, sides BC and RQ are homologous?

Answer 9

Yes

Answer 10

perfect! Now consider this ratio:
\[\frac{ measure-of-BC }{ measure-of-RQ }=\frac{ a }{ p }\]

Answer 11

now, since your triangle are similar the above ratios have to be equal each other, so?

Answer 12

Okay, thats what I thought, so it would be C then?

Answer 13

yes third option, that's right!

Answer 14

Thank you

Answer 15

Thank you!