Difference between revisions of "1994 AJHSME Problems/Problem 4"

(Created page with "Which of the following represents the result when the figure shown below is rotated clockwise <math>120^\circ</math> about its center? [asy] unitsize(6); draw(circle((0,0),5)); ...")
 
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Which of the following represents the result when the figure shown below is rotated clockwise <math>120^\circ</math> about its center?
 
Which of the following represents the result when the figure shown below is rotated clockwise <math>120^\circ</math> about its center?
  
[asy]
+
<asy>
 
unitsize(6);
 
unitsize(6);
 
draw(circle((0,0),5));
 
draw(circle((0,0),5));
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draw(circle((-2.5,-1.5),1));
 
draw(circle((-2.5,-1.5),1));
 
draw((1.5,-1)--(3,0)--(4,-1.5)--(2.5,-2.5)--cycle);
 
draw((1.5,-1)--(3,0)--(4,-1.5)--(2.5,-2.5)--cycle);
[/asy]
+
</asy>
  
[asy]
+
<asy>
 
unitsize(6);
 
unitsize(6);
 
for (int i = 0; i < 5; ++i)
 
for (int i = 0; i < 5; ++i)
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label("(D)",(36,5),N);
 
label("(D)",(36,5),N);
 
label("(E)",(48,5),N);
 
label("(E)",(48,5),N);
[/asy]
+
</asy>

Revision as of 13:10, 15 August 2011

Which of the following represents the result when the figure shown below is rotated clockwise $120^\circ$ about its center?

[asy] unitsize(6); draw(circle((0,0),5)); draw((-1,2.5)--(1,2.5)--(0,2.5+sqrt(3))--cycle); draw(circle((-2.5,-1.5),1)); draw((1.5,-1)--(3,0)--(4,-1.5)--(2.5,-2.5)--cycle); [/asy]

[asy] unitsize(6); for (int i = 0; i < 5; ++i) { draw(circle((12*i,0),5)); } draw((-1,2.5)--(1,2.5)--(0,2.5+sqrt(3))--cycle); draw(circle((-2.5,-1.5),1)); draw((1.5,-1)--(3,0)--(4,-1.5)--(2.5,-2.5)--cycle); draw((14,-2)--(16,-2)--(15,-2+sqrt(3))--cycle); draw(circle((12,3),1)); draw((10.5,-1)--(9,0)--(8,-1.5)--(9.5,-2.5)--cycle); draw((22,-2)--(20,-2)--(21,-2+sqrt(3))--cycle); draw(circle((27,-1),1)); draw((24,1.5)--(22.75,2.75)--(24,4)--(25.25,2.75)--cycle); draw((35,2.5)--(37,2.5)--(36,2.5+sqrt(3))--cycle); draw(circle((39,-1),1)); draw((34.5,-1)--(33,0)--(32,-1.5)--(33.5,-2.5)--cycle); draw((50,-2)--(52,-2)--(51,-2+sqrt(3))--cycle); draw(circle((45.5,-1.5),1)); draw((48,1.5)--(46.75,2.75)--(48,4)--(49.25,2.75)--cycle); label("(A)",(0,5),N); label("(B)",(12,5),N); label("(C)",(24,5),N); label("(D)",(36,5),N); label("(E)",(48,5),N); [/asy]