Proportion to prove graphs similar [Solved!]

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How do you write a proportion to prove the graphs are similar?

Relevant page

<a href="/numbers/math-of-beauty.php">7a. Math of Beauty</a>

What I've done so far

Written various fractions and tried to make them equal to proportions, but I didn't get it.

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Hello Nicole

Please give me more details about your question.

We normally talk about geometric shapes being "similar" (that is, exactly the same shape, but a different size) in which case we can express this as a proportion (like 1:3 means one of the shapes is 1/3 the size of the other).

But as for "similar graphs", I'll need to know more to help you.

Regards

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I mean similar triangles and other shapes.

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The proportions on this page may help:

<a href="https://socratic.org/questions/how-do-you-use-similar-triangles-to-set-up-proportions">Similar Triangles and Proportions</a>

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So I could write something like

`(PQ)/(PR) = 3/4 = (AB)/(AC) = 6/8`

Does that make sense?

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Yes, that would be fine as long as the SSS or SAS tests works for the 2 triangles PQR and ABC.

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Thanks a lot.

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You are welcome, Nicole