A. What angle of rotation maps P onto P'?
Answer: By 40 degrees. Why? Since the angle from P' to P is 2h. and 40min, We can count that as a "slice of pie". Now, since it was all the way to 24 hours, we just have to add that all up.
2h. 40 min. = 160 mins.
24 hrs. = 1440 mins.
1440 mins. = pizza
160 mins. = slice
1440 ÷ 160 = 9
That means, there are 9 slices. Now...
Entire pizza = 360°
360° ÷ 9 = 40°
Voila. 40°.
B.What are the x- and y- coordinates of P' to the nearest thousandth?
Answer: The x- coordinate is 0.833, and the y- coordinate is 0.666. Why? WELL. That's a bit tricky.
Every square side in the coordinate plan is approximately 0.333 unit. Y is two units, and X is 2 and a half units.
0.333 x 2 = 0.666
0.333 x 2.5 = 0.833
C. What translation rule maps P onto P'?
Answer: Rotation around a point. If we saw earlier, it's in a 360° circle. If the North Star is the vertex, then we know the translation rule is a rotation around the point, specifically, the North Star. That way, P will go onto P'.
I hope this helped. :)
