Turn a shape about the origin

Answer Key - Grade 8 Math Worksheet - Building Confidence

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

1. Read this first

   Use this

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The rocket sticker with corner C(2, 5) marked and a curved arrow 90° counterclockwise about the origin; the image is not drawn.

2. 1.

   Ari turns a rocket sticker 90° counterclockwise about the origin. The rule is (x, y) → (−y, x). Corner C is at (2, 5). Where is C′? Write it like (7, -3).

   (-5, 2)
3. 2.

   Bo turns a kite sticker 90° counterclockwise about the origin. The rule is (x, y) → (−y, x). Corner D is at (4, -3). Where is D′? Write it like (7, -3).

   (3, 4)
4. 3.

   Esme turns a boat sticker 90° clockwise about the origin. The rule is (x, y) → (y, −x). Corner F is at (3, 6). Where is F′? Write it like (7, -3).

   (6, -3)

5. Use this

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The leaf design with corner Q(3, 7) marked and a curved arrow 180° about the origin; the image is not drawn.

6. 4.

   Luz gives a leaf design a half turn (180°) about the origin. The rule is (x, y) → (−x, −y). Corner Q is at (3, 7). Where is Q′? Write it like (7, -3).

   (-3, -7)
7. 5.

   The snowflake design; the image is not drawn. Noah gives a snowflake design a half turn (180°) about the origin. The rule is (x, y) → (−x, −y). Corner U is at (5, -1). Where is U′? Write it like (7, -3).

   (-5, 1)

8. Use this

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The car design with corner V(-4, -7) marked and a curved arrow 180° about the origin; the image is not drawn.

9. 6.

   Pia gives a car design a half turn (180°) about the origin. The rule is (x, y) → (−x, −y). Corner V is at (-4, -7). Where is V′? Write it like (7, -3).

   (4, 7)
10. 7.

    Ren turns a robot picture 90° counterclockwise about the origin. The table shows corners C and D done. Corner G is at (5, -2). Where is G′? Write it like (7, -3).

    (2, 5)

11. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The castle picture is drawn; the image is not drawn. Table old (x, y) | new (x, y): C(2, 1) | C′(1, -2); D(3, 5) | D′(5, -3); G(-4, 6) | ?

12. 8.

    Tala turns a castle picture 90° clockwise about the origin. The table shows corners C and D done. Corner G is at (-4, 6). Where is G′? Write it like (7, -3).

    (6, 4)

13. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. The bus picture is drawn; the image is not drawn. Table old (x, y) | new (x, y): C(-1, 2) | C'(-2, -1); D(3, 4) | D'(-4, 3); G(6, 1) | ?

14. 9.

    Zee turns a bus picture 90° counterclockwise about the origin. The table shows corners C and D done. Corner G is at (6, 1). Where is G′? Write it like (7, -3).

    (-1, 6)

15. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The tent picture is drawn; the image is not drawn. Table old (x, y) | new (x, y): C(1, -3) | C′(-3, -1); D(2, 4) | D′(4, -2); G(-3, -5) | ?

16. 10.

    Ari turns a tent picture 90° clockwise about the origin. The table shows corners C and D done. Corner G is at (-3, -5). Where is G′? Write it like (7, -3).

    (-5, 3)