The children in a class are playing a game in which the teacher tells them the direction in which they should rotate. Complete the table by filling the direction the children will face on completing the given turns.
| Starting Direction | Turns | Ending Direction |
|---|---|---|
| North | Two right angles, clockwise | |
| South | Two right angles, anti-clockwise | |
| East | Four right angles, anti-clockwise | |
| West | Four right angles, clockwise | |
| North | 5 right angles, clockwise | |
| South | 3 right angles clockwise, right angle clockwise, right angle clockwise | |
| West | right angles clockwise, four right angles anti-clockwise |
Starting: North, Turns: Two right angles, clockwise, Ending Direction: ____
South
Starting: South, Turns: Two right angles, anti-clockwise, Ending Direction: ____
North
Starting: East, Turns: Four right angles, anti-clockwise, Ending Direction: ____
East
Starting: West, Turns: Four right angles, clockwise, Ending Direction: ____
West
Starting: North, Turns: 5 right angles, clockwise, Ending Direction: ____
East
Starting: South, Turns: 3 right angles clockwise, 1/2 right angle clockwise, 1/2 right angle clockwise, Ending Direction: ____
South
Starting: West, Turns: right angles clockwise, four 1/2 right angles anti-clockwise, Ending Direction: ____
Need exact number of right angles to calculate.
Explanation
(i) Two right angles clockwise from North = 180° clockwise = South. (ii) Two right angles anti-clockwise from South = 180° anti-clockwise = North. (iii) Four right angles = 1 full turn. A full turn returns to the original direction. (iv) Four right angles = 1 full turn. A full turn returns to the original direction. (v) 5 right angles = 4 right angles + 1 right angle = 1 full turn + 1 right angle. From North, 1 right angle clockwise = East. (vi) 3 right angles + 1/2 + 1/2 = 4 right angles clockwise from South = 360° = full turn. A full turn returns to the original direction, so ending direction is South. (vii) The question appears incomplete. Four 1/2 right angles = 2 right angles anti-clockwise.