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. 1.

   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)
2. 2.

   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)

3. 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 star sticker with corner G(-5, 2) marked and a curved arrow 90° clockwise about the origin; the image is not drawn.

4. 3.

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

   (2, 5)

5. Use this

   Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The butterfly sticker with corner H(-1, -6) marked and a curved arrow 90° counterclockwise about the origin; the image is not drawn.

6. 4.

   Kira turns a butterfly sticker 90° counterclockwise about the origin. The rule is (x, y) → (−y, x). Corner H is at (-1, -6). Where is H′? Write it like (7, -3).

   (6, -1)

7. 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.

8. 5.

   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)
9. 6.

   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)

10. 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.

11. 7.

    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)
12. 8.

    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)

13. 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) | ?

14. 9.

    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)

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)