Enlarge and shrink a shape on a grid
Grade 7 Math Worksheet
Circle the best answer, or write your answer on the line.
Luz enlarges a robot about the origin with scale factor 2. The antenna tip is at (6, 2) on the grid. Where is the antenna tip on the new copy? Write it like (6, 4).
Noah shrinks a boat about the origin with scale factor 1/4. The mast tip is at (8, 12) on the grid. Where is the mast tip on the smaller copy? Write it like (6, 4).
Pia shrinks a star about the origin with scale factor 1/2. The top point is at (10, 4) on the grid. Where is the top point on the smaller copy? Write it like (6, 4).
The x row 2 | 6 and the y row 5 | 15. The picture is not drawn. A corner of Tala's window is at (2, 5). After a dilation about the origin that makes the copy bigger, that corner is at (6, 15). What is the scale factor from old to new?
The x row 8 | 4 and the y row 6 | 3. The picture is not drawn. A corner of Ari's kite is at (8, 6). After a dilation about the origin that makes the copy smaller, that corner is at (4, 3). What is the scale factor from old to new?
The side row 16 | ?. Sketch, not to scale. A side of Jun's tent drawing is 16 units long. The drawing is enlarged with scale factor 2. How long is the matching side of the new drawing, in units?
The side row 12 | ?. Sketch, not to scale. A side of Milo's house drawing is 12 units long. The drawing is shrunk with scale factor 1/4. How long is the matching side of the new drawing, in units?
The side row 14 | ?. Sketch, not to scale. A side of Noah's rocket drawing is 14 units long. The drawing is shrunk with scale factor 1/2. How long is the matching side of the new drawing, in units?
The x row 3 | 6 and the y row 8 | ?. Pia's map is enlarged about the origin. The table shows one point: its x row is 3 | 6, and its y row starts at 8. What is the new y-coordinate?
Ari enlarges a robot about the origin with scale factor 3. A corner starts at (3, 9). Which point is that corner's new position?
- (6, 12)
- (9, 9)
- (1, 3)
- (9, 27)