Each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.
Given that, a robot travels from position A to B to C to D.
We need to find what composition of rigid motions represents those moves.
What is the composition of rigid motions?
Any way of moving all the points in the plane such that
a) the relative distance between points stays the same and
b) the relative position of the points stays the same.
There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection.
In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance.
Therefore, each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.
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