4th Grade Lines of Symmetry Worksheet Solutions (PDF)

Fold along the dashed line. The left wings land exactly on the right wings.

Yes, it is line-symmetric.

A square folds in half up and down, across, and along each of the two diagonals.

4 lines

It folds in half across and up and down. The diagonals do not make matching halves.

2 lines

Each line runs from a corner to the middle of the opposite side. There are 3 corners.

3 lines

Only the line from the top corner down to the middle of the base works.

1 line

Try folding it up and down, across, or along a diagonal. In every case the halves do not match.

0 lines

A, H, M, and T are cut into matching left and right halves by a vertical line. B has only a horizontal line, and F and S have none.

A, H, M, T

B, E, and H are cut into matching top and bottom halves. F, L, and S have no line.

B, E, H

A has a vertical line, H has two lines, and T has a vertical line. F, L, and S have none.

F, L, S

One line from each of the 5 corners to the middle of the opposite side.

5 lines

3 lines join opposite corners and 3 lines join the middles of opposite sides: \(3 + 3 = 6\).

6 lines

Every line through the center folds the circle into two matching halves. You can draw as many such lines as you like.

Too many to count (infinitely many)

Each corner on the left has a matching corner the same distance from the dashed line on the right. Join them in the same order.

The right half mirrors the left half

1. A rhombus folds along each diagonal: 2.
2. A kite folds along one diagonal: 1.
3. A regular octagon has 8 sides: 8.
4. No fold matches the halves: 0.

2, 1, 8, 0

A regular polygon has as many lines as sides. An octagon has 8 sides.

8 lines

The right wings have 4 spots too: \(4 + 4 = 8\).

Add the spot on the body: \(8 + 1 = 9\).

9 spots

Yield sign: 3. Stop sign: 8. School-crossing sign: 1.

\(3 + 8 + 1 = 12\).

12 lines

TOT: T, O, and T each have a vertical line, and the letters read the same from the right, so it matches.

HAT: reflected it would read TAH, which is different.

TOT yes; HAT no

Flag A: the top stripe matches the bottom stripe, so a horizontal line through the middle works. A vertical line also works because each stripe is one color. That is 2 lines.

Flag B: top and bottom are different colors, so only the vertical line works. That is 1 line.

Flag A has 2 lines; Flag B has 1 line (only A has a horizontal line)

A square has 4 lines of symmetry: 2 diagonals and 2 lines through the middles of opposite sides.

Diagonal folds make 2 triangles each: 2 ways. Middle folds make 2 rectangles each: 2 ways.

Check: \(2 + 2 = 4\).

4 ways; 2 make triangles and 2 make rectangles