Estas ligo inter la skizo kaj la takso.

In Esperanto, estas can be used impersonally in the sense of there is / there exists.

So:

• Estas ligo... = There is a connection...

You do not need a dummy subject like English there or it. Esperanto simply uses the verb directly.

This is very common:

• Estas problemo. = There is a problem.
• Estas tri libroj sur la tablo. = There are three books on the table.

So Estas ligo inter la skizo kaj la takso is a very natural way to say There is a connection between the sketch and the assessment/evaluation.

Ligo is a noun meaning link, connection, bond, tie.

It comes from the idea of something being tied or connected. Depending on context, it could be:

• a literal link
• a logical connection
• a relationship between two things

In this sentence, it most likely means a connection or a link.

Also notice the noun ending:

• ligo = connection, link
• ligi = to connect, to tie
• ligita = connected, tied

The ending -o tells you it is a noun.

Because -o is the regular Esperanto noun ending.

So:

• skizo = sketch
• takso = assessment, evaluation
• ligo = connection

One of the most important things in Esperanto is that word class is very visible from the ending:

• -o = noun
• -a = adjective
• -e = adverb
• -i = infinitive verb

That makes sentences easier to parse than in English.

La is the definite article, meaning the.

So:

• la skizo = the sketch
• la takso = the assessment / the evaluation

It is used when the speaker expects the listener already knows which sketch and which assessment are meant, or when the context makes them specific.

Esperanto has:

• la = the
• no separate word for a/an

So if you wanted a more indefinite idea, you would usually just leave out la:

• Estas ligo inter skizo kaj takso.

That would sound more general, like There is a connection between sketching and assessment or between a sketch and an assessment, depending on context.

Inter means between or among.

In this sentence:

• inter la skizo kaj la takso = between the sketch and the assessment

When there are two items, English usually says between, and Esperanto still uses inter.

A very common pattern is:

• inter X kaj Y = between X and Y

Examples:

• inter la domo kaj la arbo = between the house and the tree
• inter vi kaj mi = between you and me

So the structure here is completely standard.

Because Esperanto normally expresses between X and Y as:

• inter X kaj Y

So kaj simply means and.

Without kaj, the sentence would be incomplete or at least unnatural in standard usage. The two things being linked need to be clearly coordinated:

• inter la skizo kaj la takso

That is the normal Esperanto equivalent of English between the sketch and the assessment.

Because there is no direct object here, and the nouns after inter are part of a prepositional phrase.

In Esperanto, -n is mainly used for:

1. the direct object
2. movement toward something in some expressions

Here:

• Estas is a form of esti = to be
• ligo is the thing that exists
• inter la skizo kaj la takso is a prepositional phrase with inter

So no accusative is needed.

Compare:

• Mi vidas la skizon. = I see the sketch.
  Here skizon gets -n because it is a direct object.

But in your sentence:

• inter la skizo kaj la takso

those nouns are governed by the preposition inter, so no -n is used.

Yes. Esperanto word order is fairly flexible, as long as the sentence remains clear.

For example, you could also say:

• Ligo estas inter la skizo kaj la takso.
• Inter la skizo kaj la takso estas ligo.

All of these are understandable, but they do not feel exactly the same in emphasis.

The original:

• Estas ligo inter la skizo kaj la takso.

is very natural if you are simply introducing the fact that a connection exists.

The version:

• Inter la skizo kaj la takso estas ligo.

puts more focus on between the sketch and the assessment.

So yes, the order can change, but the original is a very normal neutral phrasing.

Not exactly.

• takso = assessment, evaluation, estimation
• opinio = opinion
• juĝo = judgment

Takso usually suggests some kind of evaluation or appraisal, often more systematic or analytical than just a personal opinion.

So if the intended meaning is something like an evaluation, rating, or assessment, then takso is a good choice.

A rough pronunciation guide is:

• Estas ≈ ESS-tahs
• ligo ≈ LEE-go
• inter ≈ EEN-tehr
• la ≈ lah
• skizo ≈ SKEE-zo
• kaj ≈ kai rhyming with English eye
• takso ≈ TAHK-so

A few useful pronunciation reminders:

• Every vowel is pronounced clearly.
• Stress is always on the second-to-last syllable.

So:

• ES-tas
• LI-go
• IN-ter
• SKI-zo
• TAK-so

That regular stress pattern is one of the helpful features of Esperanto.