Enlarge and shrink a shape on a grid
Grade 7 Math Worksheet
Circle the best answer, or write your answer on the line.
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).
Kira enlarges a tent about the origin with scale factor 4. The top is at (4, 4) on the grid. Where is the top on the new copy? Write it like (6, 4).
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).
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).
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).
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 18 | ?. Sketch, not to scale. A side of Esme's boat drawing is 18 units long. The drawing is enlarged with scale factor 3. How long is the matching side of the new drawing, in units?
The side row 11 | ?. Sketch, not to scale. A side of Kira's castle drawing is 11 units long. The drawing is enlarged with scale factor 4. How long is the matching side of the new drawing, in units?
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?
- (8, 6)
- (12, 4)
- (12, 8)
- (3, 2)