Turn a shape about the origin

Answer Key - Grade 8 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Luz turns a bike sticker 270° clockwise about the origin, three quarter turns. Corner D starts at (5, 1). Where is D′? Write it like (7, -3).

   (-1, 5)
2. 2.

   Milo turns a plane sticker 270° clockwise about the origin, three quarter turns. Corner D starts at (-2, -7). Where is D′? Write it like (7, -3).

   (7, -2)
3. 3.

   Noah turns a rocket sticker 90° counterclockwise about the origin, then slides it 5 units right and 2 units down. Where does corner D(4, 1) end? Write it like (7, -3).

   (4, 2)
4. 4.

   Pia turns a snowflake sticker 180° about the origin, then slides it 2 units left and 3 units up. Where does corner D(3, -5) end? Write it like (7, -3).

   (-5, 8)
5. 5.

   Ren turns a car sticker 90° clockwise about the origin, then slides it 1 unit left and 4 units up. Where does corner D(-2, 5) end? Write it like (7, -3).

   (4, 6)
6. 6.

   Tala slides a turtle sticker 4 units right and 1 unit up, then turns it 90° counterclockwise about the origin. Where does corner D(1, 2) end? Write it like (7, -3).

   (-3, 5)
7. 7.

   Bo turned a castle sticker 90° counterclockwise about the origin. Now corner D′ is at (-4, 3). Where was D before the turn? Write it like (7, -3).

   (3, 4)
8. 8.

   Jun turned a boat sticker 90° counterclockwise about the origin. Now corner D′ is at (-6, -2). Where was D before the turn? Write it like (7, -3).

   (-2, 6)
9. 9.

   Kira writes rules on a card for a turn game. Which rule turns every point 270° counterclockwise about the origin?

   • (x, y) → (−y, x)
   • (x, y) → (y, −x)
   • (x, y) → (y, x)
   • (x, y) → (x, −y)
10. 10.

    Milo spins a paper design all the way around once, a full 360° turn about the origin. Which rule tells where every point lands?

    • (x, y) → (x, y)
    • (x, y) → (−y, x)
    • (x, y) → (y, −x)
    • (x, y) → (−x, −y)