kwizNET Subscribers, please login to turn off the Ads!
Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

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 (8,9) in the 900 counterclockwise direction.
(8,-9)
(-9,8)
(-8,9)

Q 2: Find the image of (4,5) in the 900 counterclockwise direction.
(-5,4)
(-4,5)
(4,-5)

Q 3: Find the image of (5,8) in the half turn about the origin.
(-5,-8)
(5,-8)
(-5,8)

Q 4: Find the image of (3, 5) in the 900 counterclockwise direction.
(3,-5)
(-3,5)
(-5,3)

Q 5: Find the image of (5,6) in the 900 clockwise direction.
(-5,6)
(6,-5)
(-6,5)

Q 6: Find the image of (3,4) in the half turn about the origin.
(3,-4)
(-3,4)
(-3,-4)

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


Subscription to kwizNET Learning System offers the following benefits:

  • Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
  • Instant scoring of online quizzes
  • Progress tracking and award certificates to keep your student motivated
  • Unlimited practice with auto-generated 'WIZ MATH' quizzes
  • Child-friendly website with no advertisements
  • Choice of Math, English, Science, & Social Studies Curriculums
  • Excellent value for K-12 and ACT, SAT, & TOEFL Test Preparation
  • Get discount offers by sending an email to discounts@kwiznet.com

Quiz Timer