Suppose you are sending instructions to a factory for a set of customized triangles. You are only allowed to give them three pieces of information about each triangle. Give three examples of the instructions you could provide.

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Answer:

There is something called "criteria of congruence for triangles".

Those criteria say that, with some data of the triangles, we can know if the triangles are equivalent.

For example one of the criteria is SSS.

Side-side-side.

This means that all the triangles with equal side length for all their sides are equivalent.

So if the information that we give to the factory is the side length of the 3 sides of the triangle, the triangle will be well defined.

Following those criteria, the other 2 options can be:

SAS

Side-Angle-Side

(so you can give the length of two sides and the angle between them)

ASA

Angle-Side-Angle.

(You can give the value of two angles and the length of the side between those two angles)