to hold out / to stall
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to hold something out
To extend something with your hand or arms toward a person so that they can take it or look at it.
Sie hielt ihm das Foto hin, damit er es besser erkennen konnte.
She held the photo out to him so he could see it better.
'Hinhalten' is a separable verb. The prefix 'hin-' comes at the end in main clauses, stays attached to the verb in subordinate clauses, and with the infinitive with 'zu', 'zu' is placed between them.
Das Kind hielt seiner Mutter die Zeichnung hin.
The child held the drawing out to his mother.
You can recognize the meaning of 'hinhalten' from the object: If you hold out a thing (m01), you extend it toward someone. If you stall a person (m02), you make them wait. The expression 'den Kopf hinhalten' (to take the blame) means to take responsibility.
Kannst du mir bitte mal kurz die Tasche hinhalten?
Could you please hold the bag out to me for a moment?
The two main meanings use different cases. When you extend something toward someone, it is: 'jemandem (dative) etwas (accusative) hinhalten' (to hold something out to someone). When you make someone wait, it is: 'jemanden (accusative) hinhalten' (to stall someone).
Er hielt seiner Freundin (Dativ) die Autotür (Akkusativ) hin.
He held the car door out for his girlfriend (dative) / the car door (accusative).
When someone is made to wait, this often happens 'mit Ausreden' (with excuses), 'mit Versprechungen' (with promises), or 'mit vagen Antworten' (with vague answers). This prepositional phrase with 'mit' describes the means of delay.
Er hat mich wochenlang mit der Ausrede hingehalten, er hätte keine Zeit.
He stalled me for weeks with the excuse that he had no time.
The idiom 'den Kopf hinhalten' (to take the blame) is often used with the preposition 'für' to state the reason: 'den Kopf für etwas/jemanden hinhalten' (to take the blame for something/someone).
Sie wollte nicht, dass ihre Kollegen für ihren Fehler den Kopf hinhalten mussten.
She did not want her colleagues to have to take the blame for her mistake.
to hand / to suffice
'reichen' and 'hinhalten' can both describe moving something with your hand toward another person. The difference lies in the goal: with 'reichen', the other person is normally meant to take the item. With 'hinhalten', you only stretch something out toward them so they can take it or look at it; the act of giving is not always the main point. Learners may confuse the words because the movement is similar. If an actual handover is meant, 'reichen' fits better. If the stretching out or showing is the focus, 'hinhalten' is more precise.
Ben hielt dem Kollegen das Foto hin, damit er den Schaden sehen konnte.
Ben held the photo out to his colleague so he could see the damage.
Beim Einkaufen reiche ich der Verkäuferin das Geld über den Tresen.
While shopping, I hand the money to the saleswoman across the counter.