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because they are equal to one another
They are rigid structures: the side lengths determine their shape uniquely. This is one reason that triangles are used in structures - for bracing,
The motion of a body towards and from some fixed point. It can also be used to find the acceleration (or deceleration) in the same direction or the total distance from the fixed point in the direction of motion. But the graph gives no information at all on motion in any other direction. So, the horizontal displacement of a rocket going straight up would always be 0!
Well, motion and range of motion in physics.
The Angle-Side-Angle postulate can be used to prove congruence between two triangles. However, for this particular question, there is no figure available to develop that proposition.