Shape and space · Ages 9–10

Plotting shapes worksheet

Part of: Coordinates and moving shapes

In the print window, choose “Save as PDF” to download it. The answers print on the last page.

Shape and space · Ages 9–10

Numsprite
numsprite.com

Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.ABCD is a rectangle with A, B and C plotted. D is at (, ).
Fill in each blank
Answer:
2.Each square on the paper is 1 cm wide. What is the perimeter of rectangle ABCD in cm?
Answer:
3.Square ABCD has A at (0, 1) and B at (3, 1), with C and D above AB. C is at (, ).
Fill in each blank
Answer:
4.Square ABCD has A at (6, 3) and B at (9, 3), with C and D above AB. C is at (, ).
Fill in each blank
Answer:
5.Square ABCD has A at (3, 0) and B at (6, 0), with C and D above AB. C is at (, ).
Fill in each blank
Answer:
6.A rectangle has corners (0, 0), (2, 0), (2, 2) and (0, 2), and each square is 1 cm². What is the rectangle's area in cm²?
Answer:
7.A rectangle has corners (1, 1), (3, 1), (3, 6) and (1, 6), and each square is 1 cm². What is the rectangle's area in cm²?
Answer:

8.Joining (0, 3), (3, 3), (3, 8) and (0, 8) in order makes a square.
True or false?
Answer:
9.Joining (2, 4), (6, 4), (6, 8) and (2, 8) in order makes a square.
True or false?
Answer:
10.Joining (1, 4), (3, 4), (3, 9) and (1, 9) in order makes a square.
True or false?
Answer:
11.Plot A (3, 2), B (1, 3) and C (1, 1) and join them up. Which picture is right?
- A
- B
- C
- D
Choose the right picture
Answer:
12.Plot A (4, 5), B (6, 2) and C (0, 2) and join them up. Which picture is right?
- A
- B
- C
- D
Choose the right picture
Answer:

13.Tsz-hin joins (3, 4), (9, 4), (9, 10) and (3, 10) on squared paper to draw a rectangle, then cuts it along the line from (3, 4) to (9, 10) into two triangular flags the same size. Each square is 1 cm². What is each flag's area in cm²?
Working:
Answer:
14.A square photo frame's left side runs from (0, 2) to (0, 6). Its top right corner is at (, ).
Fill in each blank
Working:
Answer:
15.On a map each square's side stands for 5 m. A rectangular lawn has opposite corners at (0, 4) and (3, 5). How many metres of fence go all the way round it?
Working:
Answer:
16.On a map, three corners of a rectangular pool are at (1, 4), (6, 4) and (6, 7). The fourth corner is at (, ).
Fill in each blank
Working:
Answer:
17.On a map each square's side stands for 2 m. A rectangular lawn has opposite corners at (0, 1) and (5, 7). How many metres of fence go all the way round it?
Working:
Answer:
18.A square photo frame's left side runs from (2, 3) to (2, 4). Its top right corner is at (, ).
Fill in each blank
Working:
Answer:

Show the answers and working

Plotting shapes worksheet: Answers and working

1. 3, 7
A rectangle's sides go straight across and up. Which corner is D lined up with above or below, and which beside it?
D is straight above A, so x is A's, 3; D is level with C, so y is C's, 7.
2. 12 cm
Count the squares along AB and along BC. A rectangle's perimeter is two lengths and two widths.
AB = 2 − 1 = 1 cm and BC = 8 − 3 = 5 cm, so the perimeter is 2 × (1 + 5) = 12 cm.
3. 3, 4
Work out how long AB is from A's and B's x first. A square's upright side is just as long.
AB is 3 − 0 = 3 squares; a square's sides are equal, so C is 3 straight above B: (3, 4).
4. 9, 6
Work out how long AB is from A's and B's x first. A square's upright side is just as long.
AB is 9 − 6 = 3 squares; a square's sides are equal, so C is 3 straight above B: (9, 6).
5. 6, 3
Work out how long AB is from A's and B's x first. A square's upright side is just as long.
AB is 6 − 3 = 3 squares; a square's sides are equal, so C is 3 straight above B: (6, 3).
6. 4 cm²
The length is how far apart the x's are, the width how far apart the y's are: work out 2 − 0 and 2 − 0 first.
Length 2 − 0 = 2, width 2 − 0 = 2: area 2 × 2 = 4 cm².
7. 10 cm²
The length is how far apart the x's are, the width how far apart the y's are: work out 3 − 1 and 6 − 1 first.
Length 3 − 1 = 2, width 6 − 1 = 5: area 2 × 5 = 10 cm².

8. False
A square has four equal sides. Use the x's to find the side across and the y's for the side up, then compare.
The side across is 3 − 0 = 3 squares, the side up 8 − 3 = 5: a square needs them equal.
9. True
A square has four equal sides. Use the x's to find the side across and the y's for the side up, then compare.
The side across is 6 − 2 = 4 squares, the side up 8 − 4 = 4: a square needs them equal.
10. False
A square has four equal sides. Use the x's to find the side across and the y's for the side up, then compare.
The side across is 3 − 1 = 2 squares, the side up 9 − 4 = 5: a square needs them equal.
11. D
Check one point at a time: x across first, then y up. Watch out for x and y swapped.
Plot each point x across then y up, then join them.
12. D
Check one point at a time: x across first, then y up. Watch out for x and y swapped.
Plot each point x across then y up, then join them.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 18 cm²
Count how many squares the rectangle's sides across and up are from the coordinates and find its area; the two flags are the same size, half each.
The rectangle is 6 squares across and 6 up, area 6 × 6; cut into two equal halves, each flag is 6 × 6 ÷ 2 = 18.
14. 4, 6
Use the y's to find how long the left side is. A square's sides are equal, so how far right is the right side?
The left side is 6 − 2 = 4 squares; the sides are equal, so the top right corner is 4 right of (0, 6): (4, 6).
15. 40 m
Use the two corners to find how many squares long and wide it is: 3 − 0 and 5 − 4.
Once you have the perimeter in squares, remember each square's side stands for 5 m.
3 − 0 = 3 squares long and 5 − 4 = 1 wide: the perimeter is 2 × (3 + 1) × 5 = 40 m.
16. 1, 7
A rectangle's sides go across and up. The fourth corner lines up with (1, 4) above or below; which corner is it level with?
The fourth corner is straight above (1, 4) and level with (6, 7): (1, 7).
17. 44 m
Use the two corners to find how many squares long and wide it is: 5 − 0 and 7 − 1.
Once you have the perimeter in squares, remember each square's side stands for 2 m.
5 − 0 = 5 squares long and 7 − 1 = 6 wide: the perimeter is 2 × (5 + 6) × 2 = 44 m.
18. 3, 4
Use the y's to find how long the left side is. A square's sides are equal, so how far right is the right side?
The left side is 4 − 3 = 1 squares; the sides are equal, so the top right corner is 1 right of (2, 4): (3, 4).

Numsprite · numsprite.com/en/worksheets/coordinates-and-transformations/plotting-shapes