Enlarge and shrink a shape on a grid
Grade 7 Math Worksheet
Circle the best answer, or write your answer on the line.
Esme enlarges a house about the origin with scale factor 2. The roof peak is at (4, 6) on the grid. Where is the roof peak on the new copy? Write it like (6, 4).
Jun enlarges a castle about the origin with scale factor 3. The flag is at (3, 6) on the grid. Where is the flag on the new copy? Write it like (6, 4).
Milo shrinks a kite about the origin with scale factor 1/2. The tip is at (8, 6) on the grid. Where is the tip on the smaller copy? Write it like (7, 5).
Ren shrinks a rocket about the origin with scale factor 1/4. The nose is at (12, 8) on the grid. Where is the nose on the smaller copy? Write it like (6, 4).
The x row 3 | 12 and the y row 6 | 24. The picture is not drawn. A corner of Zee's robot is at (3, 6). After a dilation about the origin that makes the copy bigger, that corner is at (12, 24). 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 x row 5 | 10 and the y row 4 | ?. Ren's door is enlarged about the origin. The table shows one point: its x row is 5 | 10, and its y row starts at 4. What is the new y-coordinate?
Zee enlarges a house about the origin with scale factor 2. A corner starts at (6, 4). Which point is that corner's new position?
- (12, 8)
- (12, 4)
- (8, 6)
- (3, 2)
Esme shrinks a boat about the origin with scale factor 1/2. A corner starts at (10, 6). Which point is that corner's new position?
- (20, 12)
- (5, 3)
- (8, 4)
- (5, 6)