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.

   Jun turns a kite sticker 270° counterclockwise about the origin, three quarter turns. Corner D starts at (2, 6). Where is D′? Write it like (7, -3).

   (6, -2)
2. 2.

   Kira turns a boat sticker 270° counterclockwise about the origin, three quarter turns. Corner D starts at (-4, 3). Where is D′? Write it like (7, -3).

   (3, 4)
3. 3.

   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)
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.

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

   (1, 3)
7. 7.

   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)
8. 8.

   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)
9. 9.

   Luz makes a rule card for a board game. Which rule turns every point 270° clockwise about the origin?

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

    Noah turns a design 90° clockwise about the origin, then 270° clockwise more. Which single rule does the same as both turns?

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