Question

ABC is an equilateral triangle. Find the angle of rotation that maps A to C. (A.) 360 (B.) 240 (C.) 0

Answer 1

240

Explanation:

Since this is an equilateral triangle, we can divide the circle into 3 pieces and the figure will look the same

360/3 = 120

Every rotation of 120, and the figure is identical

120, 240 ,360 will give an identical figure

Since we need to move point A to C we can move it 240 counterclockwise and point A will be at point C

Answer 2

B. 240

Explanation:

We are given an equilateral triangle. By definition, each angle of this triangle is equal to 60 degrees and the sides are all congruent.

We would like to rotate the triangle clockwise so that A maps exactly onto C. Since the internal angles are 60 degrees, when we turn the triangle one time to the right so that B is now at the top, we have rotated the entire figure 60 degrees.

Already, A is actually on C; however, none of the answer choices matches 60 degrees, so we realise that we want a multiple of 60 that will still ensure our triangle maps A to C. We notice that if we rotate the triangle three more times after that first rotation (so that's another 60 degrees, 60 degrees, and 60 degrees), we will obtain a position that is exactly what we want: A is on C!

Thus, the number of angles is 60 + 60 + 60 + 60 = 240.

The answer is B.

~ an aesthetics lover