Describe the isometries that map a regular n-gon (n-sided polygon) onto itself. Give examples.
What will be an ideal response?
For all regular n-gons there are n rotations about the center of the polygon with directed angle the 1, . . . , n multiples of 360°/n. For example, for a triangle, the directed angles for the rotations would be 120°, 240° and 360°. For a square: 90°, 180°, 270° and 360°.
You might also like to view...
Determine whether the given function satisfies a Laplace equation.f(x, y, z) = 9x + 9y3z2
A. Yes B. No
Find the value of the unknown coordinate so that the distance between the points is as given.(2, 3) and (8, y); distance is 10
A. y = 7, y = -1 B. y = 11, y = -5 C. y = 67, y = -133 D. y = 14.66, y = -8.66
Find the first term a1 and the common difference d of the arithmetic sequence.-16, -18, -20, -22, . . .
A. a1 = -16, d = -6 B. a1 = -2, d = -4 C. a1 = -2, d = 2 D. a1 = -16, d = -2
Solve the problem.When an object is dropped to the ground from a height of h meters, the time it takes for the object to reach the ground is given by the equation t = 
, where t is measured in seconds. Solve the equation for h. Use the result to determine the height from which an object was dropped if it hits the ground after falling for 3 seconds.
A. h = 4.9t; 14.7 m B. h = 24.01t; 72 m C. h = 4.9t2; 44.1 m D. h = 24.01t2; 216.1 m