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).
Coordinate grid, each square one unit, 20 squares across. The origin and the old point (4, 4) are marked; the new copy is not drawn. Coordinate grid, each square one unit, 20 squares across. The origin and the old point (4, 4) are marked; the new copy is not drawn. 0 2 4 6 8 10 12 14 16 18 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 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).
Coordinate grid, each square one unit, 20 squares across. The origin and the old point (8, 6) are marked; the new copy is not drawn. Coordinate grid, each square one unit, 20 squares across. The origin and the old point (8, 6) are marked; the new copy is not drawn. 20 squares across −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 old point The new copy is not drawn. 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).
Coordinate grid, each square one unit, 20 squares across. The origin and the old point (12, 8) are marked; the new copy is not drawn. Coordinate grid, each square one unit, 20 squares across. The origin and the old point (12, 8) are marked; the new copy is not drawn. 0 2 4 6 8 10 12 14 16 18 20 0 1 2 3 4 5 6 7 8 9 10 Each square one unit. 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 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 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?
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?
The x row 3 | 12 and the y row 6 | ?. Tala's window is enlarged about the origin. The table shows one point: its x row is 3 | 12, and its y row starts at 6. What is the new y-coordinate?
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?
Coordinate grid, each square one unit, 20 squares across. The origin and the old corner (10, 6) are marked; the new copy is not drawn. Coordinate grid, each square one unit, 20 squares across. The origin and the old corner (10, 6) are marked; the new copy is not drawn. Coordinate grid, each square one unit, 20 squares across −10 −8 −6 −4 −2 2 4 6 8 10 −10 −9 −8 −7 −6 −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9 10 origin old corner The new copy is not drawn. - (5, 6)
- (5, 3)
- (20, 12)
- (8, 4)