La indemnización compensó el daño.

Because Spanish nouns have grammatical gender.

• indemnización is a feminine noun, so it takes la
• daño is a masculine noun, so it takes el

The endings help a bit here:

• Nouns ending in -ción are almost always feminine: la indemnización, la situación, la solución
• daño ends in -o, which is very often masculine: el daño, el libro, el problema
  (though there are exceptions in Spanish in general)

So the articles agree with the nouns:

• la indemnización
• el daño

Compensó is the third-person singular preterite form of compensar.

The accent mark shows that the stress falls on the last syllable:

• com-pen-SÓ

Without the accent, compenso, it would be a different form:

• compenso = I compensate / I am compensating (present tense)

So the accent is important because it helps distinguish:

• compenso = present, yo
• compensó = preterite, él / ella / usted

Compensó is in the preterite tense.

In this sentence, the preterite is used because the action is seen as a completed event:

• La indemnización compensó el daño.
  = the compensation compensated / made up for the damage

The sentence presents the compensation as something that did offset the damage, as a finished fact.

If you used the imperfect instead:

• compensaba

that would suggest an ongoing, habitual, or background action, which does not fit as naturally here.

Yes. The infinitive is compensar.

Here is the basic breakdown:

• compensar = to compensate
• compensó = he/she/it compensated or you compensated (formal usted)

In this sentence, the subject is la indemnización, which is grammatically third-person singular, so the verb must also be third-person singular:

• La indemnización compensó...

Because el daño is a direct object referring to a thing/concept, not a person.

Spanish uses the personal a mainly with specific people (and sometimes personified animals). For example:

• Vi a María.
• Ayudó al cliente.

But here:

• el daño = the damage / harm

That is not a person, so no personal a is used:

• La indemnización compensó el daño.

In Spanish, just like in English, a singular noun can sometimes express the idea of damage or harm in a general or collective way.

So el daño here means something like:

• the damage
• the harm
• the loss

It does not have to mean only one tiny instance of damage. It can refer to the harm as a whole.

You could also find plural forms in other contexts, such as:

• los daños = the damages / the damage(s)

But el daño is very normal when referring to the harm in a general sense.

Indemnización usually refers to compensation, especially in a legal, financial, or formal sense.

Common contexts include:

• compensation after an accident
• severance pay
• damages paid after a loss or injury
• insurance compensation

So it is often more formal and more specific than the everyday English word compensation can sometimes be.

Related words:

• indemnizar = to compensate / to indemnify
• indemnización = compensation / indemnity / damages, depending on context

Even if the meaning has already been given to you, it is useful to know that this word often appears in legal or administrative Spanish.

Good question. Spanish can express this idea in different ways.

In this sentence:

• La indemnización compensó el daño

the idea is that the compensation offset or made up for the damage.

Spanish also often says things like:

• La indemnización compensó a la víctima por el daño.
• La indemnización reparó el daño.
• Se indemnizó a la víctima.

So yes, in real-life usage Spanish may focus either on:

• the damage/harm being compensated or repaired, or
• the person affected being compensated

This sentence is perfectly grammatical, but it is somewhat formal in tone.

Yes, Spanish word order is more flexible than English, but this version is the most neutral:

• La indemnización compensó el daño.

That is a standard subject + verb + object order.

Other orders are possible, but they usually change the emphasis or sound more literary or marked. For example:

• El daño lo compensó la indemnización.
  This emphasizes el daño
• El daño fue compensado por la indemnización.
  Passive structure; more formal and less direct

So the original sentence is the most straightforward and natural version for a basic statement.

In standard Peninsular Spanish, it is pronounced approximately like:

• in-dem-ni-tha-THYON

Key points:

• z before -ión is pronounced /θ/ in most of Spain, like th in think
• ción is stressed on the last syllable: -ción
• ó in compensó is stressed: com-pen-SÓ
• ñ in daño sounds like ny in canyon

So:

• indemnización
• compensó
• daño

If you hear Latin American Spanish, the z in indemnización is usually pronounced like s instead.

No. The ñ is a different letter in Spanish, not just an n with a mark.

• daño = damage, harm
• dano is not the same word

The ñ sound is like ny in canyon or señor.

So be careful: n and ñ are different letters and can completely change the word.

Yes, that is a very natural way to understand it in English.

Spanish compensar algo often corresponds to English:

• to compensate for something
• to make up for something
• to offset something

So although Spanish says:

• compensó el daño

English often prefers:

• compensated for the damage
• made up for the damage
• offset the damage

That is a translation difference, not a grammar mistake.

It is active.

• La indemnización = subject
• compensó = verb
• el daño = direct object

So the sentence literally has the compensation as the thing doing the action grammatically.

A passive version would be:

• El daño fue compensado por la indemnización.

That is possible, but the active version is shorter, clearer, and more common in many contexts.