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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Geometry
7.5 Rotation

Rotation turns a figure about a fixed point, called the center of rotation. Rays drawn from the center of rotation to a point and its image form the angle of rotation. Rotations can be clockwise or counterclockwise.

Coordinate Rules for Rotations about the origin:
When a point (a,b) is rotated counterclockwise about the origin, the following rules are true:
  1. For a rotation of 900 (x,y) ® (-y, x).
  2. For a rotation of half turn or 1800 (x,y) ® (-x, -y).
  3. For a rotation of 2700 (x,y) ® (y, -x).
When a point (a,b) is rotated clockwise about the origin, the following rules are true:
  1. For a rotation of 900(x,y) ® (y, -x).
  2. For a rotation of half turn or 1800 (x,y) ® (-x, y).
Examples of figures rotated counterclockwise direction 900, 1800 and 2700:
Directions: Use a graph paper and rotate the following figures for 900, 1800 and 2700 about the origin. Also list the coordinates of the vertices of the image:

Using above data and choose the correct answer. Also write at least 5 examples of your own.
Q 1: Find the image of (3,4) in the half turn about the origin.
(3,-4)
(-3,4)
(-3,-4)

 Q 2: Find the image of (3, 5) in the 900 counterclockwise direction.
(-3,5)
(-5,3)
(3,-5)

Q 3: Find the image of (8,9) in the 900 counterclockwise direction.
(-8,9)
(-9,8)
(8,-9)

 Q 4: Find the image of (4,5) in the 900 clockwise direction.
(-4,5)
(-5,4)
(5,-4)

Q 5: Find the image of (5,8) in the half turn about the origin.
(-5,8)
(5,-8)
(-5,-8)

 Q 6: Find the image of (3,4) in the 900 clockwise direction.
(4,-3)
(3,-4)
(-4,3)

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 Question 8: This question is available to subscribers only!


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