Enlarge and shrink from the origin with any scale factor

Answer Key - Grade 8 Math Worksheet

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

1. 1.

   Bo dilates a sled sticker from the origin with scale factor 3/2. Corner D starts at (-4, 6). Where is D′? Write it like (7, -3).

   (-6, 9)
2. 2.

   Esme dilates a plane sticker from the origin with scale factor 5/2. Corner D starts at (2, -4). Where is D′? Write it like (7, -3).

   (5, -10)
3. 3.

   the image is not drawn. Kira dilates a turtle sticker from the origin with scale factor 0.75. Corner D starts at (-8, 4). Where is D′? 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 and its image are both drawn, with the corner and its image labeled.

5. 4.

   A corner of Noah's window design is at (10, -5). After a dilation from the origin, it is at (4, -2). What is the scale factor from old to new?

   2/5
6. 5.

   A corner of Pia's house design is at (-4, -8). After a dilation from the origin, it is at (-5, -10). What is the scale factor from old to new?

   5/4
7. 6.

   Tala's kite drawing is dilated from the origin. Corner D moves from (4, -2) to (6, -3). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

   (3/2)x, (3/2)y
8. 7.

   Ari's leaf drawing is dilated from the origin. Corner D moves from (9, 6) to (3, 2). What is the rule? Fill in (x, y) → (□, □), like 5x, 5y.

   (1/3)x, (1/3)y
9. 8.

   Bo dilates a house drawing from the origin with scale factor 3/2. How does the image compare with the original drawing?

   • Each side is 3/2 times as long, and each angle is 3/2 times as big.
   • Each side and each angle stays the same; the drawing only moves.
   • Each side is 3/2 times as long, and each angle stays the same.
   • Each side gets 3/2 units added, and each angle stays the same.

10. Use this

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. The car drawing is drawn; the image is not drawn.

11. 9.

    Esme dilates a car drawing from the origin with scale factor 2/3. How does the image compare with the original drawing?

    • Each side gets 2/3 units added, and each angle stays the same.
    • Each side and each angle stays the same; the drawing only moves.
    • Each side is 2/3 times as long, and each angle stays the same.
    • Each side is 2/3 times as long, and each angle is 2/3 times as big.
12. 10.

    Coordinate grid, all four quadrants, each square one unit, 20 squares across (-10 to 10), origin in the middle. Jun dilates a castle drawing from the origin with scale factor 5/2. How does the image compare with the original drawing?

    • Each side is 5/2 times as long, and each angle stays the same.
    • Each side and each angle stays the same; the drawing only moves.
    • Each side is 5/2 times as long, and each angle is 5/2 times as big.
    • Each side gets 5/2 units added, and each angle stays the same.