Turn a shape about the origin

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Triangle CDF on Bo's kite sticker has corners C(1, 2), D(4, 6) and F(5, -1). It turns 90° counterclockwise about the origin. Where is D′? Write it like (7, -3).

   (-6, 4)
2. 2.

   Triangle CDF on Esme's sled sticker has corners C(-2, 3), D(-5, -1) and F(1, 4). It turns 90° counterclockwise about the origin. Where is D′? Write it like (7, -3).

   (1, -5)
3. 3.

   Triangle CDF on Kira's bike sticker has corners C(2, 3), D(6, 1) and F(-1, 5). It turns 90° clockwise about the origin. Where is D′? Write it like (7, -3).

   (1, -6)
4. 4.

   Triangle CDF on Milo's boat sticker has corners C(4, -3), D(2, -7) and F(-1, -2). It turns 90° clockwise about the origin. Where is D′? Write it like (7, -3).

   (-7, -2)

5. Read this first

   Use this

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle.

7. 5.

   Triangle CDF on Pia's crown design has corners C(-1, 4), D(-5, 2) and F(-3, -6). It turns 180° about the origin. Where is D′? Write it like (7, -3).

   (5, -2)
8. 6.

   Triangle CDF on Ren's window design has corners C(1, -2), D(3, -8) and F(6, -4). It turns 180° about the origin. Where is D′? Write it like (7, -3).

   Use the picture in question 5.

   (-3, 8)
9. 7.

   Triangle CDF on Tala's house design has corners C(-2, -1), D(-7, -4) and F(-5, 3). It turns 180° about the origin. Where is D′? Write it like (7, -3).

   Use the picture in question 5.

   (7, 4)
11. 8.

    Zee's snowman design moved on the grid. Corner D went from (4, 1) to (-1, 4), and F went from (2, -3) to (3, 2). Which move was it?

    • a turn of 90° counterclockwise about the origin
    • a turn of 180° about the origin
    • a turn of 90° clockwise about the origin of the grid
    • a flip across the y-axis
12. 9.

    Ari's rocket design moved on the grid. Corner D went from (3, 5) to (5, -3), and F went from (-2, 1) to (1, 2). Which move was it?

    Use the picture in question 8.

    • a turn of 90° counterclockwise about the origin
    • a flip across the y-axis
    • a turn of 180° about the origin
    • a turn of 90° clockwise about the origin
13. 10.

    Esme's star design moved on the grid. Corner D went from (5, 2) to (-5, -2), and F went from (-1, 3) to (1, -3). Which move was it?

    Use the picture in question 8.

    • a flip across the y-axis
    • a turn of 90° counterclockwise about the origin
    • a flip across the x-axis
    • a turn of 180° about the origin