Shape and space · Ages 8–9
Completing symmetric shapes on squared paper worksheet
Part of: Symmetry
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Completing symmetric shapes on squared paper worksheet
Shape and space · Ages 8–9
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.The dashed line is a line of symmetry. To finish the symmetric shape, how many more squares must be shaded on the other side?
Answer:
2.★ is in row 6, column 4 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
3.★ is in row 3, column 5 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
4.★ is in row 2, column 6 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
5.★ is in row 4, column 1 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
6.★ is in row 3, column 4 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
7.★ is in row 6, column 3 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
8.★ is in row 3, column 6 (rows from the top, columns from the left). Folded along the slanting dashed line, ★ lands in row , column .
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
9.A symmetric shape is folded along its line of symmetry. What happens to the two sides?
- A. They don't meet at all
- B. One side is bigger
- C. They match exactly
- D. Only part of them match
Choose the right answer
Answer:
10.The slanting dashed line is a line of symmetry of this picture.
True or false?
Answer:
11.The dashed line is a line of symmetry. Folded along it, which square does ★ land on?
- A. B
- B. A
- C. D
- D. C
Choose the right answer
Answer:
12.The slanting dashed line is a line of symmetry. Which picture finishes the symmetric shape correctly?
- A
- B
- C
- D
Choose the right picture
Answer:
Part C: Word problems (4 marks each)
13.Ming is making a fuse-bead pattern on a pegboard; the beads already placed are the shaded squares. Ming finishes it symmetric about the slanting dashed line. How many beads are in the finished pattern?
Working:
Answer:
14.Ming is making a pattern from 4 × 4 square tiles on a bathroom wall; the shaded tiles are already up (see the picture). To finish the pattern symmetric about the dashed line, with each tile costing $4, how much more must Ming spend on tiles?
Working:
Answer:
15.Chi-keung is embroidering a pattern on a handkerchief of 4 × 4 squares; the shaded squares are done. Chi-keung finishes it symmetric about the dashed line. How many squares are left unstitched then?
Working:
Answer:
16.Ka-lok is making a fuse-bead pattern on a pegboard; the beads already placed are the shaded squares. Ka-lok finishes it symmetric about the slanting dashed line. How many beads are in the finished pattern?
Working:
Answer:
17.Tsz-hin is embroidering a pattern on a handkerchief of 4 × 4 squares; the shaded squares are done. Tsz-hin finishes it symmetric about the dashed line. How many squares are left unstitched then?
Working:
Answer:
18.May is making a pattern from 4 × 4 square tiles on a bathroom wall; the shaded tiles are already up (see the picture). To finish the pattern symmetric about the dashed line, with each tile costing $7, how much more must May spend on tiles?
Working:
Answer:
Show the answers and working
Completing symmetric shapes on squared paper worksheet: Answers and working
Part A: Working out and filling in
1. 5 squares
Go through the shaded squares: each needs a partner on the other side of the line. Count those partners.
Every shaded square needs a partner on the other side of the line: 5 squares.
2. 4, 6
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 4, column 6.
3. 5, 3
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 5, column 3.
4. 1, 5
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 1, column 5.
5. 5, 2
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 5, column 2.
6. 4, 3
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 4, column 3.
7. 3, 6
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 3, column 6.
8. 6, 3
First see which corners the slanting line joins. Flipped across it, ★ stays just as many steps from the line.
Flipped over the slanting line, ★ stays just as far from it: row 6, column 3.
Part B: Choose, or true or false
9. C. They match exactly
The two sides of a line of symmetry are exactly alike. What happens when you fold?
A line of symmetry splits a shape into two matching halves, so folded along it they match exactly.
10. True
Flip each square across the slanting line and check that every shaded one has a shaded partner.
Fold on the slanting line and check square by square: every shaded square needs a shaded partner across it.
11. D. C
Count how many steps ★ is from the dashed line, then count the same number on the other side.
★'s partner is just as many steps from the line on the other side, flipped as in a mirror.
12. A
Flip each square over the slanting line: just as many steps away on the other side. A square on the line is its own partner.
Flip each square over the slanting line: just as many steps from it on the other side, row and column swapped.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 8 beads
Count two kinds: beads on the slanting line are their own partners; each bead off the line needs one more.
The 2 beads on the line are their own partners; the other 3 each need one more: 5 + 3 = 8.
14. 16 dollars
First count the tiles still needed: each shaded tile needs a partner across the line. Each tile is $4.
Each shaded tile needs a partner across the line: 4 tiles, 4 × 4 = $16.
15. 5 squares
First find how many squares are stitched once it is finished (squares on a slanting line need no partner), then take that from all 4 × 4.
Finished, 11 squares are stitched (a square on a slanting line needs no partner): 16 − 11 = 5.
16. 8 beads
Count two kinds: beads on the slanting line are their own partners; each bead off the line needs one more.
The 2 beads on the line are their own partners; the other 3 each need one more: 5 + 3 = 8.
17. 6 squares
First find how many squares are stitched once it is finished (squares on a slanting line need no partner), then take that from all 4 × 4.
Finished, 10 squares are stitched (a square on a slanting line needs no partner): 16 − 10 = 6.
18. 35 dollars
First count the tiles still needed: each shaded tile needs a partner across the line. Each tile is $7.
Each shaded tile needs a partner across the line: 5 tiles, 5 × 7 = $35.
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