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Maths · Grade 4 · Set C
Counting the folds
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C
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Remember: A fold line makes two halves that match. Count every fold that works: a square has 4, a rectangle has 2, and shapes with equal sides and corners have as many as they have sides.

Fold lines on shapes

1
Circle every shape that has a line of symmetry.
A
B
C
2
Do the two halves match when you fold this square on the dashed line?
YesNo
3
Do the two halves match when you fold this rhombus on the slanted dashed line?
YesNo
4
This hexagon has 6 equal sides. How many lines of symmetry does it have?
5
A shape has a line of symmetry down its middle and a line of symmetry across its middle. Which shape could it be?
A
B
C

Shapes on a grid

6
How many lines of symmetry does this house have?
7
This cross has the same four arms. How many lines of symmetry does it have?
8
Does this kite have a line of symmetry?
YesNo
9
Join each shape to its lines of symmetry.
  1. 1heart
  2. 2rhombus (not a square)
  3. 3hexagon with equal sides
  4. 4octagon with equal sides
  • A6 lines
  • B2 lines
  • C1 line
  • D8 lines
10
Put the shapes in order from the fewest lines of symmetry to the most.
  • house shape
  • cross with four equal arms
  • slanted parallelogram
  • octagon with equal sides
11
A square has 4 lines of symmetry. A rectangle that is not a square has 2. Write why the rectangle has fewer.
12
Draw a shape with 4 lines of symmetry. Draw all four fold lines with dashed lines.
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Answer key · Set C
Counting the folds
1B, C The heart folds down its middle and the quarter circle folds along its slanted middle. The right triangle has no fold that matches.
2Yes Fold the square corner to corner. Each half is a triangle and the two triangles match.
3No A rhombus folds from corner to corner, not on a slant. The halves do not line up.
46 A shape with equal sides and equal corners has as many lines of symmetry as it has sides. 6 sides, 6 lines.
5B The rectangle folds both ways. The heart and the half circle fold only down the middle.
61 Fold it down the middle from the tip of the roof. The left and right halves match. No other fold works.
74 It folds down the middle, across the middle and corner to corner both ways. That is 4 folds.
8Yes Fold it down the middle from the top point to the bottom point. The two sides match.
91-C, 2-B, 3-A, 4-D
102, 3, 1, 4 A slanted parallelogram has 0, the house has 1, the cross has 4 and the octagon has 8.
11Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.