Grade 7 · Math

7th grade Enlarge and shrink a shape on a grid worksheet

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Enlarge and shrink a shape on a grid

Grade 7 Math Worksheet

NameDate

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).
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).
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 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 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 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?
8.
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)
- (3, 2)
- (12, 8)
- (12, 4)
9.
Bo shrinks a kite about the origin with scale factor 1/2. A corner starts at (6, 4). Which point is that corner's new position?
Use the picture in question 8.
- (3, 4)
- (4, 2)
- (12, 8)
- (3, 2)
10.
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?
- (5, 6)
- (20, 12)
- (5, 3)
- (8, 4)

7th grade Enlarge and shrink a shape on a grid worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Enlarge and shrink a shape on a grid. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can enlarge or shrink a point or a side about the origin: every coordinate and every length is multiplied by the scale factor.
I can find the scale factor from a point and where it moved to (new ÷ old), and work back from the copy to the original.
I can do two dilations in a row (multiply the factors) and find the new perimeter of a rectangle.

Standard: state-only (CCSS 8.G.A.3)

Words to know

dilation: Making a shape bigger or smaller by the same number in every direction.

scale factor: How many new units for 1 old unit (new ÷ old). Above 1 is bigger, below 1 smaller.

origin: The point (0, 0), where the x-axis and y-axis cross. Here it is the center of every dilation.

coordinates: The two numbers (x, y) that tell where a point is.

image (the new copy): The point or shape you get after the dilation.

old-new table: A table with a row for the x-coordinate and a row for the y-coordinate.

Common mistakes

Your child added a number where the shape should have been multiplied bigger.

Your child used the scale factor upside down: divided when the shape was getting bigger, or multiplied when it was getting smaller.

Your child changed only one number of the point.

What to say

Ask: if a shape is 3 times as big, is each length 3 more or 3 times as much?

Ask: should the new shape be bigger or smaller than the old one?

Ask: when a shape is enlarged or shrunk, do both the across number and the up number change?

Questions parents ask

What is the most common mistake with enlarge and shrink a shape on a grid?

Your child added a number where the shape should have been multiplied bigger.

How can I help my child with enlarge and shrink a shape on a grid?

Ask: if a shape is 3 times as big, is each length 3 more or 3 times as much?

Are these 7th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 7 math

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