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. 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).

  4. 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.

  5. Pia dilates a star design from the origin. Corner C(4, -2) lands at (6, -3). Where does corner D(-6, 6) land? Write it like (7, -3).

  6. 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).

  7. 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).

  8. 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.

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

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

  10. Esme's crown design moved. Corner C went from (4, 2) to (6, 3), and D went from (2, 6) to (4, 8). Is it a dilation from the origin?

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

  11. Jun's car design moved. Corner C went from (6, 9) to (4, 6), and D went from (3, -6) to (1, -8). Is it a dilation from the origin?

    • Yes: a dilation with scale factor 3/2.
    • 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.

  12. 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.

  13. Side CD of Milo's boat runs from (-4, -8) to (4, -8). After a dilation from the origin, C′D′ runs from (-5, -10) to (5, -10). 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. 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)

  4. 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.

  5. Pia dilates a star design from the origin. Corner C(4, -2) lands at (6, -3). Where does corner D(-6, 6) land? Write it like (7, -3).

    (-9, 9)

  6. 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)

  7. 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)

  8. 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.

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

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

  10. Esme's crown design moved. Corner C went from (4, 2) to (6, 3), and D went from (2, 6) to (4, 8). Is it a dilation from the origin?

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

  11. Jun's car design moved. Corner C went from (6, 9) to (4, 6), and D went from (3, -6) to (1, -8). Is it a dilation from the origin?

    • Yes: a dilation with scale factor 3/2.
    • 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.

  12. 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.

  13. Side CD of Milo's boat runs from (-4, -8) to (4, -8). After a dilation from the origin, C′D′ runs from (-5, -10) to (5, -10). What is the scale factor from old to new?

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