Worksheet

Enlarge and shrink from the origin with any scale factor

Grade 8 Math Worksheet - Challenge Me

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

  1. Kira dilated a kite sticker from the origin with scale factor 3/2. Now corner D′ is at (9, -6). Where was D before? Write it like (7, -3).

  2. Luz dilated a bus sticker from the origin with scale factor 2/3. Now corner D′ is at (-4, 6). Where was D before? Write it like (7, -3).

  3. Milo dilated a robot sticker from the origin with scale factor 5/4. Now corner D′ is at (5, -10). Where was D before? Write it like (7, -3).

  4. Noah dilated a tent sticker from the origin with scale factor 4/3. Now corner D′ is at (-8, 4). Where was D before? Write it like (7, -3).

  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. The design is drawn with C, C′ and D labeled; D′ is not drawn.

  6. Ren dilates a butterfly design from the origin. Corner C(9, 3) lands at (6, 2). Where does corner D(-3, 6) land? Write it like (7, -3).

  7. Tala dilates a snowman design from the origin. Corner C(2, -2) lands at (5, -5). Where does corner D(-4, 2) land? Write it like (7, -3).

  8. Zee dilates a window design from the origin. Corner C(8, -4) lands at (6, -3). Where does corner D(4, 8) land? Write it like (7, -3).

  9. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with C, C′, D and D′ labeled.

  10. Bo's leaf design moved. Corner C went from (6, 3) to (4, 2), and D went from (-3, 9) to (-2, 6). Is it a dilation from the origin?

    • Yes: a dilation with scale factor 2/3.
    • No: the corners do not all multiply by the same number.
    • No: a dilation must make a shape bigger.
    • Yes: a dilation with scale factor 3/2.

  11. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The drawing and its image are both drawn, with CD and C′D′ labeled.

  12. Side CD of Kira's rocket runs from (-2, 4) to (4, 4). After a dilation from the origin, C′D′ runs from (-3, 6) to (6, 6). What is the scale factor from old to new?

  13. Side CD of Luz's house runs from (-6, 3) to (3, 3). After a dilation from the origin, C′D′ runs from (-4, 2) to (2, 2). What is the scale factor from old to new?

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Enlarge and shrink from the origin with any scale factor

Answer Key - Grade 8 Math Worksheet - Challenge Me

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

  1. Kira dilated a kite sticker from the origin with scale factor 3/2. Now corner D′ is at (9, -6). Where was D before? Write it like (7, -3).

    (6, -4)

  2. Luz dilated a bus sticker from the origin with scale factor 2/3. Now corner D′ is at (-4, 6). Where was D before? Write it like (7, -3).

    (-6, 9)

  3. Milo dilated a robot sticker from the origin with scale factor 5/4. Now corner D′ is at (5, -10). Where was D before? Write it like (7, -3).

    (4, -8)

  4. Noah dilated a tent sticker from the origin with scale factor 4/3. Now corner D′ is at (-8, 4). Where was D before? Write it like (7, -3).

    (-6, 3)

  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. The design is drawn with C, C′ and D labeled; D′ is not drawn.

  6. Ren dilates a butterfly design from the origin. Corner C(9, 3) lands at (6, 2). Where does corner D(-3, 6) land? Write it like (7, -3).

    (-2, 4)

  7. Tala dilates a snowman design from the origin. Corner C(2, -2) lands at (5, -5). Where does corner D(-4, 2) land? Write it like (7, -3).

    (-10, 5)

  8. Zee dilates a window design from the origin. Corner C(8, -4) lands at (6, -3). Where does corner D(4, 8) land? Write it like (7, -3).

    (3, 6)

  9. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The design and its image are both drawn, with C, C′, D and D′ labeled.

  10. Bo's leaf design moved. Corner C went from (6, 3) to (4, 2), and D went from (-3, 9) to (-2, 6). Is it a dilation from the origin?

    • Yes: a dilation with scale factor 2/3.
    • No: the corners do not all multiply by the same number.
    • No: a dilation must make a shape bigger.
    • Yes: a dilation with scale factor 3/2.

  11. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (−10 to 10), origin in the middle. The drawing and its image are both drawn, with CD and C′D′ labeled.

  12. Side CD of Kira's rocket runs from (-2, 4) to (4, 4). After a dilation from the origin, C′D′ runs from (-3, 6) to (6, 6). What is the scale factor from old to new?

    3/2

  13. Side CD of Luz's house runs from (-6, 3) to (3, 3). After a dilation from the origin, C′D′ runs from (-4, 2) to (2, 2). What is the scale factor from old to new?

    2/3