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Maths · Grade 4 · Set A
The folding line
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A
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Goal: 15 min
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Remember: A fold line makes two halves that match exactly. A shape that has a fold line has a line of symmetry. Equal sides are not needed, but matching halves are.

Do the halves match?

1
Do the two halves match when you fold on the dashed line?
YesNo
2
Do the halves match when you fold this rectangle on the dashed line?
YesNo
3
When you fold this triangle on the dashed line, do the halves match?
YesNo
4
Which picture shows a dashed line that makes matching halves?
A
B
C
5
How many lines of symmetry does a square have?
6
This rectangle is not a square. How many lines of symmetry does it have?

Lines of symmetry

7
An equilateral triangle has 3 equal sides. How many lines of symmetry does it have?
8
A trapezoid with two equal slanted sides has a line of symmetry.
TrueFalse
9
This parallelogram has a line of symmetry.
TrueFalse
10
This triangle has three different side lengths. Does it have a line of symmetry?
YesNo
11
Put the shapes in order from the fewest lines of symmetry to the most.
  • parallelogram
  • rectangle
  • square
  • heart
12
Join each shape to its lines of symmetry.
  1. 1heart
  2. 2rectangle (not a square)
  3. 3equilateral triangle
  4. 4square
  • A1 line
  • B3 lines
  • C4 lines
  • D2 lines
13
Draw a shape that has a line of symmetry. Draw the fold line on it with a dashed line.
14
How can you check that a dashed line is a fold line? Write what you would do.
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Answer key · Set A
The folding line
1Yes Fold the square on the line. Each corner lands on a corner, so the halves match.
2No The two halves are the same size, but the corners do not land on corners when you fold. They do not match.
3Yes The left half and the right half are the same shape and size, so they match.
4B Only the heart's halves match. Folding the rectangle from corner to corner or the triangle across its middle makes halves that do not line up.
54 A square folds into matching halves in 4 ways: down the middle, across the middle, and from corner to corner both ways.
62 It folds down the middle and across the middle. Folding corner to corner does not match.
73 Fold from each corner to the middle of the side across from it. There are 3 folds that match.
8True Fold down the middle. The two slanted sides land on each other, so the halves match.
9False Fold it any way you try and the corners do not land on corners. It has no line of symmetry.
10No A fold needs two sides that match. This triangle has no two sides the same, so it has no line of symmetry.
111, 3, 4, 2 A slanted parallelogram has 0, a heart has 1, a rectangle has 2 and a square has 4.
121-A, 2-D, 3-B, 4-C
14Your own words: a grown-up reads it.
Mark each answer, count the right ones and write the score on the sheet.