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Answer:
16. a: (-90°, (4, 3)); b: (90°, (0, 3)); c: (-90°, (0, 0))
17. a: (down, (4, -1)); b: (right, (4, 3)); c: (up, (5, 2))
Step-by-step explanation:
We don't know what notation you're used to seeing for rotations. Here. we'll use the form [degrees CCW, (center)]. (CW angles are negative.) In any rotation, the center is the point that is invariant (remains in the same place)
16.
a) The tail is invariant, so the rotation is (-90°, (4, 3)).
b) The tip is invariant, so the rotation is (90°, (0, 3)).
c) The origin is invariant, so the rotation is (-90°, (0, 0))
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17.
a) The tail is invariant, so the arrow is pointing down with the tip at (4, -1).
b) The center is invariant, so the arrow is reversed. It is pointing right with the tip at (4, 3).
c) Point (2, 3) is invariant, so the arrow is pointing up with the center at (5, 0). The tip is at (5, 2).
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<em>Additional comment</em>
If you have trouble visualizing these rotations, you might find it useful to trace the arrow on a piece of (semi-)transparent medium (plastic or tracing paper) so that you can move it as required to match the descriptions in the problem statement. A pin, or a dot on your tracing, can serve to fix the center of rotation. A little hands-on never hurts in math and geometry.
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